College Algebra: Concepts Through Functions (4th Edition)
College Algebra: Concepts Through Functions (4th Edition)
4th Edition
ISBN: 9780134686967
Author: Michael Sullivan, Michael Sullivan III
Publisher: PEARSON
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Chapter F.4, Problem 1AYU
To determine

To fill: The statement “To complete the square of x2+10x, you would ____ (add/subtract) the number ____”.

Expert Solution & Answer
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Answer to Problem 1AYU

The statement is “To complete the square of x2+10x, you would add the number 25”.

Explanation of Solution

Result used:

Completing the square x2+bx:

“Identify the coefficient of the first-degree term. Multiply this coefficient by 12 and then square the result. That is, determine the value of b in x2+bx and compute (12b)2”.

Calculation:

Compare the given x2+10x with x2+bx and obtain the value of b.

x2+bxx2+10x

Thus, the value of b is 10.

Now substitute b=10 in (12b)2.

(12b)2=(1210)2

Obtain the complete square of x2+10x as follows.

By above result, add (1210)2 to x2+10x as shown below.

x2+10x+(1210)2=x2+10x+(5)2=x2+10x+25

Thus, add the number 25 to the given expression in order to make the expression x2+10x becomes completed square (x+5)2.

Hence, the statement is “To complete the square of x2+10x, you would add the number 25”.

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Chapter F Solutions

College Algebra: Concepts Through Functions (4th Edition)

Ch. F.1 - True or False The point (−1, 4) lies in quadrant...Ch. F.1 - True or False The midpoint of a line segment is...Ch. F.1 - Which of the following statements is true for a...Ch. F.1 - Prob. 14AYUCh. F.1 - Prob. 15AYUCh. F.1 - Prob. 16AYUCh. F.1 - Prob. 17AYUCh. F.1 - Prob. 18AYUCh. F.1 - In Problems 19–32, find the distance d(P1, P2)...Ch. F.1 - In Problems 19–32, find the distance d(P1, P2)...Ch. F.1 - Prob. 21AYUCh. F.1 - Prob. 22AYUCh. F.1 - Prob. 23AYUCh. F.1 - Prob. 24AYUCh. F.1 - Prob. 25AYUCh. F.1 - Prob. 26AYUCh. F.1 - Prob. 27AYUCh. F.1 - Prob. 28AYUCh. F.1 - Prob. 29AYUCh. F.1 - Prob. 30AYUCh. F.1 - In Problems 19–32, find the distance d(P1, P2)...Ch. F.1 - Prob. 32AYUCh. F.1 - In Problems 33–38, plot each point and form the...Ch. F.1 - Prob. 34AYUCh. F.1 - Prob. 35AYUCh. F.1 - Prob. 36AYUCh. F.1 - Prob. 37AYUCh. F.1 - Prob. 38AYUCh. F.1 - Prob. 39AYUCh. F.1 - Prob. 40AYUCh. F.1 - Prob. 41AYUCh. F.1 - Prob. 42AYUCh. F.1 - Prob. 43AYUCh. F.1 - Prob. 44AYUCh. F.1 - In Problems 39–48, find the midpoint of the line...Ch. F.1 - Prob. 46AYUCh. F.1 - Prob. 47AYUCh. F.1 - Prob. 48AYUCh. F.1 - Find all points having an x-coordinate of 2 whose...Ch. F.1 - Find all points having a y-coordinate of −3 whose...Ch. F.1 - Prob. 51AYUCh. F.1 - Prob. 52AYUCh. F.1 - Prob. 53AYUCh. F.1 - Prob. 54AYUCh. F.1 - Geometry Find the midpoint of each diagonal of a...Ch. F.1 - Geometry Verify that the points (0, 0) .(a, 0).and...Ch. F.1 - Prob. 57AYUCh. F.1 - Prob. 58AYUCh. F.1 - Prob. 59AYUCh. F.1 - Prob. 60AYUCh. F.1 - Prob. 61AYUCh. F.1 - Prob. 62AYUCh. F.1 - Prob. 63AYUCh. F.1 - Prob. 64AYUCh. F.1 - Prob. 65AYUCh. F.1 - Prob. 66AYUCh. F.1 - Prob. 67AYUCh. F.1 - Prob. 68AYUCh. F.1 - Poverty Threshold Poverty thresholds are...Ch. F.1 - Prob. 70AYUCh. F.1 - Prob. 71AYUCh. F.1 - Write a paragraph that describes a Cartesian...Ch. F.2 - Solve the equation 2(x + 3) − 1 = − 7. (pp....Ch. F.2 - Prob. 2AYUCh. F.2 - Prob. 3AYUCh. F.2 - Prob. 4AYUCh. F.2 - Prob. 5AYUCh. F.2 - Prob. 6AYUCh. F.2 - Prob. 7AYUCh. F.2 - Prob. 8AYUCh. F.2 - Prob. 9AYUCh. F.2 - Prob. 10AYUCh. F.2 - In Problems 11–16, tell whether the given points...Ch. F.2 - Prob. 12AYUCh. F.2 - In Problems 11–16, tell whether the given points...Ch. F.2 - In Problems 11–16, tell whether the given points...Ch. F.2 - Prob. 15AYUCh. F.2 - Prob. 16AYUCh. F.2 - In Problems 17–28, find the intercepts and graph...Ch. F.2 - Prob. 18AYUCh. F.2 - Prob. 19AYUCh. F.2 - Prob. 20AYUCh. F.2 - Prob. 21AYUCh. F.2 - Prob. 22AYUCh. F.2 - Prob. 23AYUCh. F.2 - Prob. 24AYUCh. F.2 - Prob. 25AYUCh. F.2 - Prob. 26AYUCh. F.2 - Prob. 27AYUCh. F.2 - Prob. 28AYUCh. F.2 - Prob. 29AYUCh. F.2 - Prob. 30AYUCh. F.2 - Prob. 31AYUCh. F.2 - Prob. 32AYUCh. F.2 - Prob. 33AYUCh. F.2 - Prob. 34AYUCh. F.2 - Prob. 35AYUCh. F.2 - Prob. 36AYUCh. F.2 - Prob. 37AYUCh. F.2 - Prob. 38AYUCh. F.2 - Prob. 39AYUCh. F.2 - Prob. 40AYUCh. F.2 - Prob. 41AYUCh. F.2 - Prob. 42AYUCh. F.2 - Prob. 43AYUCh. F.2 - Prob. 44AYUCh. F.2 - Prob. 45AYUCh. F.2 - Prob. 46AYUCh. F.2 - Prob. 47AYUCh. F.2 - Prob. 48AYUCh. F.2 - Prob. 49AYUCh. F.2 - Prob. 50AYUCh. F.2 - Prob. 51AYUCh. F.2 - Prob. 52AYUCh. F.2 - Prob. 53AYUCh. F.2 - Prob. 54AYUCh. F.2 - Prob. 55AYUCh. F.2 - Prob. 56AYUCh. F.2 - Prob. 57AYUCh. F.2 - Prob. 58AYUCh. F.2 - Prob. 59AYUCh. F.2 - Prob. 60AYUCh. F.2 - Prob. 61AYUCh. F.2 - Prob. 62AYUCh. F.2 - Prob. 63AYUCh. F.2 - Prob. 64AYUCh. F.2 - Prob. 65AYUCh. F.2 - Prob. 66AYUCh. F.2 - Prob. 67AYUCh. F.2 - Prob. 68AYUCh. F.2 - Prob. 69AYUCh. F.2 - Prob. 70AYUCh. F.2 - Prob. 71AYUCh. F.2 - Prob. 72AYUCh. F.2 - Prob. 73AYUCh. F.2 - Prob. 74AYUCh. F.2 - Prob. 75AYUCh. F.2 - Prob. 76AYUCh. F.2 - Prob. 77AYUCh. F.2 - Prob. 78AYUCh. F.2 - Prob. 79AYUCh. F.2 - Prob. 80AYUCh. F.2 - Prob. 81AYUCh. F.2 - Prob. 82AYUCh. F.2 - Prob. 83AYUCh. F.2 - Prob. 84AYUCh. F.2 - Prob. 85AYUCh. F.2 - Prob. 86AYUCh. F.2 - Prob. 87AYUCh. F.2 - Prob. 88AYUCh. F.2 - Prob. 89AYUCh. F.2 - Prob. 90AYUCh. F.2 - Prob. 91AYUCh. F.2 - Prob. 92AYUCh. F.2 - Prob. 93AYUCh. F.2 - Prob. 94AYUCh. F.2 - Prob. 95AYUCh. F.2 - Prob. 98AYUCh. F.3 - The slope of a vertical line is __________; the...Ch. F.3 - For the line 2x+ 3y = 6, the x-intercept is _____...Ch. F.3 - True or False The equation 3x + 4y = 6 is written...Ch. F.3 - Prob. 4AYUCh. F.3 - Prob. 5AYUCh. F.3 - Prob. 6AYUCh. F.3 - Prob. 7AYUCh. F.3 - Prob. 8AYUCh. F.3 - Prob. 9AYUCh. F.3 - Prob. 10AYUCh. F.3 - Prob. 11AYUCh. F.3 - Prob. 12AYUCh. F.3 - In Problems 13–16, (a) find the slope of the line...Ch. F.3 - In Problems 13–16, (a) find the slope of the line...Ch. F.3 - Prob. 15AYUCh. F.3 - Prob. 16AYUCh. F.3 - In Problems 17-24, plot each pair of points and...Ch. F.3 - Prob. 18AYUCh. F.3 - Prob. 19AYUCh. F.3 - Prob. 20AYUCh. F.3 - Prob. 21AYUCh. F.3 - Prob. 22AYUCh. F.3 - Prob. 23AYUCh. F.3 - Prob. 24AYUCh. F.3 - In Problems 25–32, graph the line that contains...Ch. F.3 - In Problems 25–32, graph the line that contains...Ch. F.3 - In Problems 25–32, graph the line that contains...Ch. F.3 - In Problems 25–32, graph the line that contains...Ch. F.3 - In Problems 25–32, graph the line that contains...Ch. F.3 - Prob. 30AYUCh. F.3 - Prob. 31AYUCh. F.3 - Prob. 32AYUCh. F.3 - Prob. 33AYUCh. F.3 - Prob. 34AYUCh. F.3 - Prob. 35AYUCh. F.3 - Prob. 36AYUCh. F.3 - Prob. 37AYUCh. F.3 - Prob. 38AYUCh. F.3 - In Problems 39–46, find an equation of the line...Ch. F.3 - Prob. 40AYUCh. F.3 - In Problems 39–46, find an equation of the line...Ch. F.3 - In Problems 39–46, find an equation of the line...Ch. F.3 - In Problems 39–46, find an equation of the line...Ch. F.3 - Prob. 44AYUCh. F.3 - In Problems 39–46, find an equation of the line...Ch. F.3 - Prob. 46AYUCh. F.3 - Prob. 47AYUCh. F.3 - Prob. 48AYUCh. F.3 - In Problems 47–72, find an equation for the line...Ch. F.3 - Prob. 50AYUCh. F.3 - In Problems 47–72, find an equation for the line...Ch. F.3 - Prob. 52AYUCh. F.3 - Prob. 53AYUCh. F.3 - Prob. 54AYUCh. F.3 - Prob. 55AYUCh. F.3 - Prob. 56AYUCh. F.3 - Prob. 57AYUCh. F.3 - Prob. 58AYUCh. F.3 - Prob. 59AYUCh. F.3 - Prob. 60AYUCh. F.3 - Prob. 61AYUCh. F.3 - Prob. 62AYUCh. F.3 - Prob. 63AYUCh. F.3 - Prob. 64AYUCh. F.3 - Prob. 65AYUCh. F.3 - Prob. 66AYUCh. F.3 - In Problems 47-72, find an equation for the line...Ch. F.3 - Prob. 68AYUCh. F.3 - Prob. 69AYUCh. F.3 - Prob. 70AYUCh. F.3 - Prob. 71AYUCh. F.3 - Prob. 72AYUCh. F.3 - Prob. 73AYUCh. F.3 - Prob. 74AYUCh. F.3 - Prob. 75AYUCh. F.3 - Prob. 76AYUCh. F.3 - Prob. 77AYUCh. F.3 - Prob. 78AYUCh. F.3 - In Problems 73–92, find the slope and y-intercept...Ch. F.3 - Prob. 80AYUCh. F.3 - Prob. 81AYUCh. F.3 - Prob. 82AYUCh. F.3 - Prob. 83AYUCh. F.3 - Prob. 84AYUCh. F.3 - Prob. 85AYUCh. F.3 - Prob. 86AYUCh. F.3 - Prob. 87AYUCh. F.3 - Prob. 88AYUCh. F.3 - Prob. 89AYUCh. F.3 - Prob. 90AYUCh. F.3 - Prob. 91AYUCh. F.3 - Prob. 92AYUCh. F.3 - Prob. 93AYUCh. F.3 - Prob. 94AYUCh. F.3 - Prob. 95AYUCh. F.3 - Prob. 96AYUCh. F.3 - Prob. 97AYUCh. F.3 - Prob. 98AYUCh. F.3 - Prob. 99AYUCh. F.3 - Prob. 100AYUCh. F.3 - Prob. 101AYUCh. F.3 - Prob. 102AYUCh. F.3 - Prob. 103AYUCh. F.3 - Prob. 104AYUCh. F.3 - Prob. 105AYUCh. F.3 - Prob. 106AYUCh. F.3 - Prob. 107AYUCh. F.3 - Prob. 108AYUCh. F.3 - Prob. 109AYUCh. F.3 - Prob. 110AYUCh. F.3 - Prob. 111AYUCh. F.3 - Prob. 112AYUCh. F.3 - Prob. 113AYUCh. F.3 - Prob. 114AYUCh. F.3 - Prob. 115AYUCh. F.3 - Prob. 116AYUCh. F.3 - Prob. 117AYUCh. F.3 - Cost Equation The fixed costs of operating a...Ch. F.3 - Prob. 119AYUCh. F.3 - Prob. 120AYUCh. F.3 - Prob. 121AYUCh. F.3 - Prob. 122AYUCh. F.3 - Prob. 123AYUCh. F.3 - Prob. 124AYUCh. F.3 - Prob. 125AYUCh. F.3 - Prob. 126AYUCh. F.3 - Prob. 127AYUCh. F.3 - Prob. 128AYUCh. F.3 - Prob. 129AYUCh. F.3 - Prob. 130AYUCh. F.3 - Prob. 131AYUCh. F.3 - Prob. 132AYUCh. F.3 - Prob. 133AYUCh. F.3 - Prob. 134AYUCh. F.3 - Prob. 138AYUCh. F.3 - Prob. 139AYUCh. F.3 - Prob. 140AYUCh. F.3 - What can you say about two lines with the same...Ch. F.3 - Prob. 142AYUCh. F.3 - Prob. 143AYUCh. F.3 - Prob. 144AYUCh. F.3 - Prob. 145AYUCh. F.4 - Prob. 1AYUCh. F.4 - Prob. 2AYUCh. F.4 - Prob. 3AYUCh. F.4 - Prob. 4AYUCh. F.4 - Prob. 5AYUCh. F.4 - Prob. 6AYUCh. F.4 - Prob. 7AYUCh. F.4 - Prob. 8AYUCh. F.4 - Prob. 9AYUCh. F.4 - Prob. 10AYUCh. F.4 - Prob. 11AYUCh. F.4 - Prob. 12AYUCh. F.4 - Prob. 13AYUCh. F.4 - Prob. 14AYUCh. F.4 - Prob. 15AYUCh. F.4 - Prob. 16AYUCh. F.4 - Prob. 17AYUCh. F.4 - Prob. 18AYUCh. F.4 - Prob. 19AYUCh. F.4 - Prob. 20AYUCh. F.4 - Prob. 21AYUCh. F.4 - Prob. 22AYUCh. F.4 - Prob. 23AYUCh. F.4 - Prob. 24AYUCh. F.4 - Prob. 25AYUCh. F.4 - Prob. 26AYUCh. F.4 - Prob. 27AYUCh. F.4 - Prob. 28AYUCh. F.4 - Prob. 29AYUCh. F.4 - Prob. 30AYUCh. F.4 - Prob. 31AYUCh. F.4 - Prob. 32AYUCh. F.4 - Prob. 33AYUCh. F.4 - Prob. 34AYUCh. F.4 - Prob. 35AYUCh. F.4 - Prob. 36AYUCh. F.4 - Prob. 37AYUCh. F.4 - Prob. 38AYUCh. F.4 - Prob. 39AYUCh. F.4 - Prob. 40AYUCh. F.4 - Prob. 41AYUCh. F.4 - Prob. 42AYUCh. F.4 - Prob. 43AYUCh. F.4 - Prob. 44AYUCh. F.4 - Prob. 45AYUCh. F.4 - Prob. 46AYUCh. F.4 - In Problems 45–48, match each graph with the...Ch. F.4 - Prob. 48AYUCh. F.4 - Prob. 49AYUCh. F.4 - Prob. 50AYUCh. F.4 - Prob. 51AYUCh. F.4 - Prob. 52AYUCh. F.4 - Prob. 53AYUCh. F.4 - Prob. 54AYUCh. F.4 - Prob. 55AYUCh. F.4 - Prob. 56AYUCh. F.4 - Prob. 57AYUCh. F.4 - Prob. 58AYUCh. F.4 - Prob. 59AYUCh. F.4 - Prob. 60AYUCh. F.4 - Prob. 61AYUCh. F.4 - Prob. 62AYUCh. F.4 - Prob. 63AYUCh. F.4 - Prob. 64AYU
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