A Graphical Approach to College Algebra (7th Edition)

Chapter 1

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Graph in second figure looks bigger because of the... more

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First expression gives- -10Second expression gives... more

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Natural numbers are set of all numbers in the set... more

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Natural numbers are numbers which belongs to the ... more

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Whole numbers are numbers belonging to the set {0,... more

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Natural numbers are numbers which belongs to the ... more

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Natural numbers are numbers which belongs to the ... more

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Natural numbers ; Population of a certain location... more

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Natural numbers will be the most appropriate set ... more

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Rational numbers ; Shoe sizes can vary from 6-15, ... more

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Rational numbers ; Let us look at all the possible... more

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Rational numbers ; Temperatures can vary from 0.7... more

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Natural number ; Average golf score is 90 strokes ... more

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Point are plotted on the number line with -4 as A... more

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Number line can be defined as straight line with ... more

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Number line can be defined as straight line with ... more

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Number line can be defined as straight line with ... more

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Rational numbers are all the numbers which can be ... more

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is a non-terminating, non-repeating decimal ... more

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The rectangular coordinate system is divided into ... more

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The graph is drawn with the horizontal axis being ... more

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The graph is drawn with the horizontal axis being ... more

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The graph is drawn with the horizontal axis being ... more

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The graph is drawn with the horizontal axis being ... more

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The graph is drawn with the horizontal axis being ... more

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The graph is drawn with the horizontal axis being ... more

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The graph is drawn with the horizontal axis being ... more

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The graph is drawn with the horizontal axis being ... more

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The graph is drawn with the horizontal axis being ... more

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Quadrant 1 and Quadrant 3 ; The given condition is... more

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Quadrant 2 and Quadrant 4 ; The given condition is... more

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Quadrant 2 and Quadrant 4 ; The given condition is... more

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Quadrant 1 and Quadrant 3 ; The given condition is... more

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-axis ; Any point where the -coordinate is 0 is of... more

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-axis ; Any point where the -coordinate is 0 is of... more

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; The refers to the value between the ticks or ... more

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; The refers to the value between the ticks or ... more

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; The refers to the value between the ticks or ... more

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; The refers to the value between the ticks or ... more

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; The refers to the value between the ticks or ... more

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-300;300;-375;150 ; Xscl is distance between marks... more

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Set Xmax 10, Xmin  -10, Ymax 10 and Ymin -10, with... more

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Set Xmax 40, Xmin  -40, Ymax 30 and Ymin -30, with... more

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Set Xmax 10, Xmin -6, Ymax 10, Ymin -6 with Xscl 1... more

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Set Xmax 3.5, Xmin -3.5, Ymax 10, Ymin -4 with ... more

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Set Xmax 10, Xmin 0,  Ymax 400, Ymin 0,  with Xscl... more

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Set Xmax 6.6, Xmin -6.6, Ymax 4.1, Ymin -4.1. ; more

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Here Xmin  is -10 and Xmax is 10. Ymin is -10 and ... more

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Here Xmin is -50, Xmax is 50. Ymin is -50 and Ymax... more

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7.616 ;   is calculated on calculator gives 7.... more

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9.849 ; is calculated on calculator gives 9.... more

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1.791 ; is calculated on calculator gives 1.... more

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4.498 ; is calculated on calculator gives 4.... more

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3.045 ; is calculated on calculator gives 3.... more

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3.330 ; is calculated on calculator gives 3.... more

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4.359 ; is calculated on calculator gives 4.... more

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3.072 ; is calculated on calculator gives 3.... more

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311.987 ; is calculated on calculator gives 311.... more

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5555.863 ; is calculated on calculator gives 5555... more

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0.25 ; Simplify equation. Obtained answer is 0.... more

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2.57 ; Simplify equation. Obtained answer is 2.... more

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5.66 ; Simplify equation. Obtained answer is 5.... more

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-3.23 ; Simplify equation. Subtract 2.1 from 36. ... more

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98.63 ; Simplify equation. Obtained answer is 98.... more

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; Simplify equation. Obtained answer is 9.664518.... more

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; Simplify equation. Obtained answer is 8.246211.... more

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; Simplify equation. Negative of negative number ... more

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; Simplify equation.  Obtained answer is 0.... more

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76.65 ; Simplify equation. Remove decimal, as ... more

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; Simplify equation. Obtained answer is -2.817298... more

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-1.84 ; Simplify equation. Obtained answer is -1.... more

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17 ; Use Pythagorean theorem Substitute values of... more

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25 ; Use Pythagorean theorem Substitute values of... more

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84 ; Use Pythagorean theorem Substitute values of... more

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48 ; Use Pythagorean theorem Substitute values of... more

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9.433 ; Use Pythagorean theorem Substitute values ... more

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13.453 ; Use Pythagorean theorem Substitute values... more

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4 ; Use Pythagorean theorem Substitute values of ... more

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2 ; Use Pythagorean theorem Substitute values of ... more

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(9,14) ; Use midpoint formula and substitute the ... more

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(-17,-13) ; Use midpoint formula and substitute ... more

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(-13.72, -5.01) ; Use midpoint formula and ... more

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(13.42,-14.05) ; Use midpoint formula and ... more

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; Use midpoint formula to find the approximate ... more

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Estimate is greater than 996 million dollars. ; ... more

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Estimated poverty-level cutoffs in 2012 is 22950 ... more

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Estimated enrollments in the year 2017 is 7000(... more

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Find the distance between P and M using distance ... more

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(-1,4) ; x lies between -1 and 4 but that doesn't ... more

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; x is greater than -3 and takes the value of -3... more

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; x lies between and 0 but that doesn't take the... more

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(3,8) ; x lies between 3 and 8 but that doesn't ... more

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[1,2) ; x lies between 1 and 2, it can take the ... more

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(-5,-4] ;  x lies between -5 and -4 and it takes ... more

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; x will be equal to 2 but will be less than 7... more

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; can take any values less than or equal to -1... more

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;  The number is greater than 3. ; more

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; x takes the values between -2 and 6, it can ... more

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; 0 and 8 are not included for the value of x. ; more

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; x is less than or equal to -4. ; more

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; x is greater than 3 but not equal to 3. ; more

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Parenthesis is used when the number is not ... more

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-3 is less than 5. ; 0 is less than 4. ; -3 is ... more

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Write f(x) as y and write the equation in terms of... more

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Write f(x) as y and write the equation in terms of... more

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Write f(x) as y and write the equation in terms of... more

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Write f(x) as y and write the equation in terms of... more

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Write f(x) as y and write the equation in terms of... more

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Write f(x) as y and write the equation in terms of... more

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Write f(x) as y and write the equation in terms of... more

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Write f(x) as y and write the equation in terms of... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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If the set of pairs is assumed to be , the set of ... more

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When the set of pairs is assumed to be , the set ... more

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When the set of pairs is assumed to be , the set ... more

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When the set of pairs is assumed to be , the set ... more

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When the set of pairs is assumed to be , the set ... more

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When the set of pairs is assumed to be , the set ... more

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When the set of pairs is assumed to be , the set ... more

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The function can be called when exactly one ... more

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The function can be called when exactly one ... more

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The function can be called when exactly one ... more

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The function can be called when exactly one ... more

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The function can be called when exactly one ... more

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The function can be called when exactly one ... more

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The function can be called when exactly one ... more

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The function can be called when exactly one ... more

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The function can be called when exactly one ... more

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The function can be called when exactly one ... more

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The function can be called when exactly one ... more

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The function can be called when exactly one ... more

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; If , then the point lies on the graph of .... more

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; If , then the point lies on the graph of .... more

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; If the point lies on the graph of , then .Here... more

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; If the point lies on the graph of , then .Here... more

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; The table shows the revenue generated by ... more

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The and values of the function are given in the ... more

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The length of the mid point is The mid point is ; ... more

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; Using an Fx or an Ex or an Es series calculator... more

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34 ; Let the points be denoted byThe distance ... more

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The length of the other leg is ; in a right angled... more

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For the first notation, the set is For the second ... more

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; All the values is domain and all the values ... more

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The graph can be generated by considering an ... more

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; The function is given by Replace by and find... more

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; Mark the point on the x axis and move ... more

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The selecting window for the graph is wrong, ... more

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The graph must pass through the point ; The graph ... more

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; Since the line in the graph passes through the ... more

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; The line is parallel to axis. Therefore, slope... more

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; The line is parallel to -axis. Therefore, slope... more

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; The line is parallel to -axis. Therefore, slope... more

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; The line is parallel to -axis. Therefore, slope... more

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; The line is parallel to -axis. Therefore, slope... more

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; The line is parallel to -axis. Therefore, slope... more

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The window B gives a comprehensive graph. ; The ... more

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The window A gives a comprehensive graph. ; The ... more

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The window B gives a comprehensive graph. ; The ... more

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The window B gives a comprehensive graph. ; The ... more

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-1. ; The slope can be found using the slope ... more

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-1 ; Slope of a line passing through points and... more

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; Slope of a line passing through points and ... more

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; Slope of a line passing through points and ... more

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Slope is not defined. ; Slope of a line passing ... more

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Slop is not defined. ; Slope of a line passing ... more

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0 ; Slope of a line passing through points and ... more

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0 ; Slope of a line passing through points and ... more

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; Slope of a line passing through points and ... more

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Slope = 50Amount saved increases on an average by... more

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Average rate of change or slope = -4The value of ... more

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Average rate of change or slope is zero The number... more

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Average rate of change or slope is 0.The ... more

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Here, m > 0 and b > 0 i.e. slope and intercepts ... more

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The equation of line is . On comparing it with we... more

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Slope .Y-intercept .Equation of f . ; Calculating ... more

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Slope .Y-intercept .Equation of f . ; Calculating ... more

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Slope .Y-intercept .Equation of f ; Calculating ... more

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Slope .Y-intercept .Equation for f ;  Calculating ... more

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For the given equation is a line parallel to x-... more

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Drawing a graph of a line passing through the ... more

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Drawing a graph of a line passing through the ... more

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Drawing a graph of a line passing through the ... more

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To plot the graph, obtain the second point using ... more

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To plot the graph, obtain the second point using ... more

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To plot the graph, obtain the second point using ... more

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To plot the graph, obtain the second point using ... more

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To plot the graph, obtain the second point using ... more

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To plot the graph, obtain the second point using ... more

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implies that at the height of above the ground ... more

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; Use the linear function concept that is where... more

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; Use the linear function concept that is where... more

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; The line ,, and   is in slope intercept form. ... more

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; Use the equation for slope intercept form in ... more

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; Use the equation for slope intercept form in ... more

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; Use the equation for slope intercept form in ... more

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; Use the equation for slope intercept form in ... more

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; Use the equation for slope intercept form in ... more

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; Use the equation for slope intercept form in ... more

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; Use the equation for slope intercept form in ... more

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; Use the equation for slope intercept form in ... more

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; Use the equation for slope intercept form in ... more

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The slope can not be found when the line is ... more

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; In the graph the line is passing through the ... more

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; Graph says that line is passing through and .... more

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  ; Graph says that line is passing through and .... more

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    ;  Graph says that line is passing through ... more

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  ; Since  line is passing through and .Let , ... more

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; Since line is passing through and .Let , and... more

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    ; Since line is passing through and .Let , ... more

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    ; Since line is passing through and .Let , ... more

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    ; Since line is passing through and .Let , ... more

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  ; Since line is passing through and .Let , ... more

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    ; Since line is passing through and .Let , ... more

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; Since line is passing through and . Let , ... more

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; Choose any two point from given dataLet , and... more

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; Choose any two point from given dataLet , and... more

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; Choose any two point from given dataLet , and... more

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; Choose any two point from given dataLet , and... more

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Since equation of line is  substitute in and ... more

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Since equation of line is substitute in and find... more

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Since equation of line is substitute in and find... more

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Since equation of line is substitute in and find... more

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Since equation of line is substitute in and find... more

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x-intercept is and y-intercept is -3. ; X-... more

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Another point on the line is determined by ... more

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Another point on the line is determined by ... more

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Another point on the line is determined by ... more

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Another point on the line is determined by ... more

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; Slope-intercept form is formulated by ... more

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; Slope-intercept form is formulated by ... more

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; Slope-intercept form is formulated by adding ... more

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; Slope-intercept form is formulated by adding ... more

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; Slope-intercept form is formulated by ... more

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; Slope-intercept form is formulated by adding ... more

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; Slope-intercept form of the given line is ... more

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; Slope-intercept form of the given line is ... more

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; Slope-intercept form is formulated by ... more

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; Slope-intercept form of the given line is ... more

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; Since, the lines are perpendicular, product of ... more

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; Since, the lines are perpendicular, product of ... more

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; Since, the lines are parallel, slopes of them ... more

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; Slope-intercept form is formulated by ... more

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; Slope-intercept form of the given line is ... more

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; The slope of the line is compared to the slope... more

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; The line is a vertical line and therefore its ... more

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x=5 ; The line is a horizontal line and therefore... more

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; The slope of the line passing through the ... more

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; The slope of the line passing through the ... more

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; The slope of the line passing through the ... more

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; The slope of the line passing through the ... more

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(a)Two points are selected from each column and ... more

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Equation of least-square regression line : ... more

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Equation of least-square regression line : ... more

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; Linear formula for a function can be written ... more

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Equation of line is To get the x-intercept ... more

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; and .Thus,  ; Slope of a line passing through... more

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Equation of vertical line passing through (-2, 10... more

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; Equation of a line in slope-intercept form is ... more

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; Slope of a line passing through points and ... more

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; Convert the equation into the slope-intercept ... more

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Yes;If and are two functions, then and will ... more

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;;; The solution set for the equation, is .If the... more

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-4 ; Set and use basic algebraic operations to ... more

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6 ; Set and use basic algebraic operations to ... more

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0 ; Follow the steps below to obtain the result.... more

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0 ; Follow the steps below to obtain the result.... more

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; Follow the steps below to obtain the result.Set... more

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; Follow the steps below to obtain the result.Set... more

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; Follow the steps below to obtain the result.Set... more

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; Follow the steps below to obtain the result.Set... more

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; Follow the steps below to obtain the result.Set... more

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or ; The -coordinate of the intersection point is... more

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; From the graph, it can be observed that the -... more

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; From the graph, it can be observed that the -... more

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; From the graph, it can be observed that the -... more

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; the equation can be solved by determining the ... more

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; the equation can be solved by determining the ... more

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; the equation can be solved by determining the ... more

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the equation can be solved by determining the ... more

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the given simplified result   clearly does not ... more

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this is the condition for no solution for the set ... more

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this is the condition for infinitely many solution... more

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; Solve the equation of the form as:take all the... more

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; Solve the equation of the form as:take all the... more

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  ; Solve the equation of the form as:take all ... more

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; Solve the equation of the form as:take all the... more

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; Solve the equation of the form as:take all the... more

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  ; Solve the equation of the form as:take all ... more

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; Solve the equation of the form as: multiply ... more

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; Solve the equation of the form as: multiply ... more

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; Solve the equation of the form as: multiply ... more

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; Solve the equation of the form as:multiply the... more

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; Solve the equation of the form as:take all the... more

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; Solve the equation of the form as:take all the... more

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  ; Solve the equation of the form as:take all ... more

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; Solve the equation of the form as:take all the... more

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; Solve the equation of the form as: multiply ... more

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; Solve the equation of the form as: multiply ... more

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; Solve the equation of the form as: multiply ... more

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  ; Solve the equation of the form as: multiply ... more

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; Solve the equation of the form as:take all the... more

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; Solve the equation of the form as:take all the... more

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; the equation can be solved by observing from ... more

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; the equation can be solved by observing from ... more

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; follow the points given below  to solve the ... more

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  ; follow the points given below  to solve the ... more

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  ; follow the points given below  to solve the ... more

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; follow the points given below  to solve the ... more

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; follow the points given below  to solve the ... more

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; follow the points given below  to solve the ... more

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contradiction ; Solve the equation of the form as... more

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contradiction ; Solve the equation of the form as... more

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identity ; Solve the equation of the form as:take... more

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identity ; Solve the equation of the form as:take... more

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conditional equation ; Solve the equation of the ... more

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conditional equation ; Solve the equation of the ... more

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conditional equation ; Solve the equation of the ... more

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conditional equation ; Solve the equation of the ... more

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contradiction  ; Solve the equation of the form ... more

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contradiction  ; Solve the equation of the form ... more

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identity  ; Solve the equation of the form as:... more

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 identity  ; Solve the equation of the form as:... more

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contradiction  ; Solve the equation of the form ... more

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contradiction  ; Solve the equation of the form ... more

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; solve the equation of the form using the graph... more

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; solve the inequality from observations obtained... more

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; solve the inequality from observations obtained... more

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; solve the inequality from observations obtained... more

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  ; solve the inequality from observations ... more

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; solve the inequality from observations obtained... more

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; solve the inequality from observations obtained... more

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; solve the inequality from observations obtained... more

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; solve the inequality from observations obtained... more

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; solve the inequality from observations obtained... more

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Multiply the given inequality wtih 15 into both ... more

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Multiply the inequality by 14 into both sides to ... more

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Multiply the given inequality to find the ... more

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Multiply the given inequality by 10 into both ... more

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Simplify the given inequality to find the ... more

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Simplify the given inequality to find the ... more

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Simplify the given inequality to find the ... more

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Simplify the given inequality to find the ... more

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Simplify the given inequality to find the ... more

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Simplify the given inequality to find the ... more

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Subtract 2 into each side of the given inequality... more

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Add 1 into each sides of the given inequality and... more

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Subtract 2 into each sides of the given inequality... more

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Subtract 5 into both sides of the given inequality... more

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Multiply -5 into both sides of the given ... more

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Multiply the given inequality by -2 into each ... more

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Add 4 into each sides of the given inequality and... more

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Add 1 into both sides of the given inequality and... more

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Add 5 into each sides of the given inequality and... more

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; Solve the given compound inequality by taking ... more

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; Solve the given compound inequality by taking ... more

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; The shape of can is cylindrical. So ... more

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; The  perimeter of a square is where is side ... more

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; ; represents the boundary between the solution ... more

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The display at the lower end is the point of ... more

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length is and width is . ; Perimeter of the ... more

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at and at . ; Let be the time taken for . ... more

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; Let the water's quantity that is to be added be... more

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; Let the water's quantity that is to be added be... more

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; Let the mixture's quantity that is to be ... more

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  ; Let the mixture's quantity that is to be ... more

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; Let the gasoline's quantity that is to added be... more

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92-oct gasoline: ;98-oct gasoline : ; Let the 92-... more

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; Since is directly proportional to , the ... more

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; Since is directly proportional to , the ... more

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; Since is directly proportional to , the ... more

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; Since the cost is directly proportional to the... more

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Approximately ; Let and be the radius  and ... more

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Approximately ; Let and be the radius  and ... more

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; Let be the height. Use similar triangle ... more

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; Since length and weight are directly ... more

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12500 ; Since tagged specimens and number of ... more

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Approximately 20500 ; Since tagged specimens and ... more

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  with interest.  with interest ; Let and be ... more

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; Let and be the cost of first and second piece... more

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  with interest.  with interest ; Let and be ... more

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  with interest.  with interest ; Let and be ... more

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  with interest.  with interest ; Let and be ... more

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  with interest.  with interest ; Let and be ... more

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; Divide both sides by to obtain . ; more

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; To find the formula for the variable , divide ... more

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; To find the formula for the variable , subtract... more

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; To find the formula for the variable , subtract... more

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; To find the formula for the variable , multiply... more

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; To find the formula for the variable , multiply... more

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; To find the formula for the variable , subtract... more

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; To find the formula for the variable , subtract... more

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; To find the formula for the variable , multiply... more

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; To find the formula for the variable , subtract... more

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; To find the formula for the variable , multiply... more

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; To find the formula for the variable , multiply... more

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; To find the formula for the variable , multiply... more

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; To find the formula for the variable , multiply... more

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; To solve , simplify parentheses of both sides ... more

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Label the horizontal axis as -axis and the ... more

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To find the zero of , equate to 0 and obtain . ... more

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-4 ; To find the slope, use the formula, . ... more

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; To find the slope, use the formula, . ... more

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; To rearrange the equation, in slope-intercept ... more

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48 ; To find the -intercept of the equation, , ... more

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36 ; To find the -intercept of the equation, , ... more

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Label the horizontal axis as -axis and the ... more

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The shape of the graph is correct for the function... more

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11 ; The function can be written in the linear ... more

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; Compare the equation with slope intercept form... more

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To solve follow these stepsThe two lines does not ... more

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The intersecting point of two lines ; The value is... more

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; To solve follow these stepsFirst expand the ... more

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8 ; To solve follow these stepsFirst expand the ... more

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; To solve follow these stepsFirst subtract the ... more

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{1.4} ; To solve follow these stepsFirst expand ... more

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; To solve follow these stepsFirst add on both ... more

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; To solve follow these stepsFirst multiply by ... more

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; Let the total cost function be represented by ... more

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; The revenue refers to the amount of money ... more

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; The required solution is on equating the Cost ... more

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; The values on the Revenue Line are consistently... more

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Distance increases by for every increase in the ... more

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; The equation for Surface Area of a cuboid is ... more

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dash time is faster than the marathon time by... more

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milliliters ; Let milliliters of acid be mixed ... more

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Length is .The midpoint is . ; The two set of ... more

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