Introductory and Intermediate Algebra for College Students (5th Edition)
Introductory and Intermediate Algebra for College Students (5th Edition)
5th Edition
ISBN: 9780134178141
Author: Robert F. Blitzer
Publisher: PEARSON
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Concept explainers

Maximization
Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.
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Textbook Question
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Chapter 11.3, Problem 90ES

In Exercises 90—91, find the axis of symmetry for each parabola whose equation is given. Use the axis of symmetry to find a second point on the parabola whose y-coordinate is the same as the given point.

90. f ( x )   =   3 x   +   2 2   −   5 ;   − 1 ,   − 2

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Chapter 11 Solutions

Introductory and Intermediate Algebra for College Students (5th Edition)

Ch. 11.1 - Prob. 1CAVCCh. 11.1 - Prob. 2CAVCCh. 11.1 - Prob. 3CAVCCh. 11.1 - Prob. 4CAVCCh. 11.1 - Prob. 5CAVCCh. 11.1 - Prob. 6CAVCCh. 11.1 - Prob. 7CAVCCh. 11.1 - Prob. 8CAVCCh. 11.1 - Prob. 9CAVCCh. 11.1 - Prob. 10CAVC
Ch. 11.1 - Prob. 11CAVCCh. 11.1 - Prob. 12CAVCCh. 11.1 - Prob. 13CAVCCh. 11.1 - Prob. 1ESCh. 11.1 - Prob. 2ESCh. 11.1 - Prob. 3ESCh. 11.1 - Prob. 4ESCh. 11.1 - Prob. 5ESCh. 11.1 - Prob. 6ESCh. 11.1 - Prob. 7ESCh. 11.1 - Prob. 8ESCh. 11.1 - Prob. 9ESCh. 11.1 - Prob. 10ESCh. 11.1 - Prob. 11ESCh. 11.1 - Prob. 12ESCh. 11.1 - Prob. 13ESCh. 11.1 - Prob. 14ESCh. 11.1 - Prob. 15ESCh. 11.1 - Prob. 16ESCh. 11.1 - Prob. 17ESCh. 11.1 - Prob. 18ESCh. 11.1 - Prob. 19ESCh. 11.1 - Prob. 20ESCh. 11.1 - Prob. 21ESCh. 11.1 - Prob. 22ESCh. 11.1 - Prob. 23ESCh. 11.1 - Prob. 24ESCh. 11.1 - Prob. 25ESCh. 11.1 - Prob. 26ESCh. 11.1 - Prob. 27ESCh. 11.1 - Prob. 28ESCh. 11.1 - Prob. 29ESCh. 11.1 - Prob. 30ESCh. 11.1 - Prob. 31ESCh. 11.1 - Prob. 32ESCh. 11.1 - Prob. 33ESCh. 11.1 - Prob. 34ESCh. 11.1 - Prob. 35ESCh. 11.1 - Prob. 36ESCh. 11.1 - Prob. 37ESCh. 11.1 - Prob. 38ESCh. 11.1 - Prob. 39ESCh. 11.1 - Prob. 40ESCh. 11.1 - Prob. 41ESCh. 11.1 - Prob. 42ESCh. 11.1 - Prob. 43ESCh. 11.1 - Prob. 44ESCh. 11.1 - Prob. 45ESCh. 11.1 - 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Prob. 94ESCh. 11.1 - Prob. 95ESCh. 11.1 - Prob. 96ESCh. 11.1 - Prob. 97ESCh. 11.1 - Prob. 98ESCh. 11.1 - In Exercises 99—102, solve each quadratic equation...Ch. 11.1 - Prob. 100ESCh. 11.1 - Prob. 101ESCh. 11.1 - Prob. 102ESCh. 11.1 - Prob. 103ESCh. 11.1 - Prob. 104ESCh. 11.1 - Prob. 105ESCh. 11.1 - Prob. 106ESCh. 11.1 - Prob. 107ESCh. 11.1 - Prob. 108ESCh. 11.1 - Prob. 109ESCh. 11.1 - Prob. 110ESCh. 11.1 - Prob. 111ESCh. 11.1 - Prob. 112ESCh. 11.1 - Prob. 113ESCh. 11.1 - Prob. 114ESCh. 11.1 - Prob. 115ESCh. 11.1 - Prob. 116ESCh. 11.1 - Prob. 117ESCh. 11.1 - Prob. 118ESCh. 11.1 - Prob. 119ESCh. 11.1 - Prob. 120ESCh. 11.1 - Prob. 121ESCh. 11.1 - Prob. 122ESCh. 11.1 - Prob. 123ESCh. 11.1 - Prob. 124ESCh. 11.1 - Prob. 125ESCh. 11.1 - Prob. 126ESCh. 11.1 - Prob. 127ESCh. 11.1 - Prob. 128ESCh. 11.1 - Prob. 129ESCh. 11.1 - Prob. 130ESCh. 11.1 - Prob. 131ESCh. 11.1 - Prob. 132ESCh. 11.1 - Prob. 133ESCh. 11.1 - Prob. 134ESCh. 11.1 - Prob. 135ESCh. 11.1 - Prob. 136ESCh. 11.1 - Prob. 137ESCh. 11.1 - Prob. 138ESCh. 11.1 - In Exercises 136-139, determine whether each...Ch. 11.1 - Prob. 140ESCh. 11.1 - Prob. 141ESCh. 11.1 - Prob. 142ESCh. 11.1 - Prob. 143ESCh. 11.1 - Prob. 144ESCh. 11.1 - Prob. 145ESCh. 11.1 - Prob. 146ESCh. 11.1 - Prob. 147ESCh. 11.1 - Prob. 148ESCh. 11.1 - Prob. 149ESCh. 11.2 - Prob. 1CAVCCh. 11.2 - Prob. 2CAVCCh. 11.2 - Prob. 3CAVCCh. 11.2 - Prob. 4CAVCCh. 11.2 - Prob. 5CAVCCh. 11.2 - Prob. 6CAVCCh. 11.2 - Prob. 7CAVCCh. 11.2 - Prob. 8CAVCCh. 11.2 - Prob. 9CAVCCh. 11.2 - Prob. 10CAVCCh. 11.2 - Prob. 11CAVCCh. 11.2 - Prob. 12CAVCCh. 11.2 - Prob. 1ESCh. 11.2 - Prob. 2ESCh. 11.2 - Prob. 3ESCh. 11.2 - Prob. 4ESCh. 11.2 - Prob. 5ESCh. 11.2 - Prob. 6ESCh. 11.2 - Prob. 7ESCh. 11.2 - Prob. 8ESCh. 11.2 - Prob. 9ESCh. 11.2 - Prob. 10ESCh. 11.2 - Prob. 11ESCh. 11.2 - Prob. 12ESCh. 11.2 - Prob. 13ESCh. 11.2 - Prob. 14ESCh. 11.2 - Prob. 15ESCh. 11.2 - Prob. 16ESCh. 11.2 - Prob. 17ESCh. 11.2 - Prob. 18ESCh. 11.2 - Prob. 19ESCh. 11.2 - Prob. 20ESCh. 11.2 - Prob. 21ESCh. 11.2 - Prob. 22ESCh. 11.2 - Prob. 23ESCh. 11.2 - Prob. 24ESCh. 11.2 - Prob. 25ESCh. 11.2 - Prob. 26ESCh. 11.2 - Prob. 27ESCh. 11.2 - Prob. 28ESCh. 11.2 - Prob. 29ESCh. 11.2 - Prob. 30ESCh. 11.2 - Prob. 31ESCh. 11.2 - Prob. 32ESCh. 11.2 - Prob. 33ESCh. 11.2 - Prob. 34ESCh. 11.2 - Prob. 35ESCh. 11.2 - Prob. 36ESCh. 11.2 - Prob. 37ESCh. 11.2 - Prob. 38ESCh. 11.2 - Prob. 39ESCh. 11.2 - Prob. 40ESCh. 11.2 - Prob. 41ESCh. 11.2 - Prob. 42ESCh. 11.2 - Prob. 43ESCh. 11.2 - Prob. 44ESCh. 11.2 - Prob. 45ESCh. 11.2 - Prob. 46ESCh. 11.2 - Prob. 47ESCh. 11.2 - Prob. 48ESCh. 11.2 - Prob. 49ESCh. 11.2 - Prob. 50ESCh. 11.2 - Prob. 51ESCh. 11.2 - Prob. 52ESCh. 11.2 - Prob. 53ESCh. 11.2 - Prob. 54ESCh. 11.2 - Prob. 55ESCh. 11.2 - Prob. 56ESCh. 11.2 - Prob. 57ESCh. 11.2 - Prob. 58ESCh. 11.2 - Prob. 59ESCh. 11.2 - Prob. 60ESCh. 11.2 - Prob. 61ESCh. 11.2 - Prob. 62ESCh. 11.2 - Prob. 63ESCh. 11.2 - Prob. 64ESCh. 11.2 - Prob. 65ESCh. 11.2 - Prob. 66ESCh. 11.2 - Prob. 67ESCh. 11.2 - Prob. 68ESCh. 11.2 - Prob. 69ESCh. 11.2 - Prob. 70ESCh. 11.2 - Prob. 71ESCh. 11.2 - Prob. 72ESCh. 11.2 - Prob. 73ESCh. 11.2 - Prob. 74ESCh. 11.2 - Prob. 75ESCh. 11.2 - Prob. 76ESCh. 11.2 - Prob. 77ESCh. 11.2 - Prob. 78ESCh. 11.2 - Prob. 79ESCh. 11.2 - Prob. 80ESCh. 11.2 - Prob. 81ESCh. 11.2 - Prob. 82ESCh. 11.2 - Prob. 83ESCh. 11.2 - Prob. 84ESCh. 11.2 - Prob. 85ESCh. 11.2 - Prob. 86ESCh. 11.2 - Prob. 87ESCh. 11.2 - Prob. 88ESCh. 11.2 - Prob. 89ESCh. 11.2 - Prob. 90ESCh. 11.2 - Prob. 91ESCh. 11.2 - Prob. 92ESCh. 11.2 - Prob. 93ESCh. 11.2 - Prob. 94ESCh. 11.2 - Prob. 95ESCh. 11.2 - Prob. 96ESCh. 11.2 - Prob. 97ESCh. 11.2 - Prob. 98ESCh. 11.2 - Prob. 99ESCh. 11.2 - Prob. 100ESCh. 11.2 - Prob. 101ESCh. 11.2 - Prob. 102ESCh. 11.2 - In Exercises 102-105, determine whether each...Ch. 11.2 - Prob. 104ESCh. 11.2 - Prob. 105ESCh. 11.2 - Prob. 106ESCh. 11.2 - A rectangular swimming pool is 12 meters long and...Ch. 11.2 - Prob. 108ESCh. 11.2 - Prob. 109ESCh. 11.2 - Prob. 110ESCh. 11.2 - Prob. 111ESCh. 11.2 - Prob. 112ESCh. 11.2 - Prob. 113ESCh. 11.2 - Prob. 114ESCh. 11.3 - Prob. 1CAVCCh. 11.3 - Prob. 2CAVCCh. 11.3 - Prob. 3CAVCCh. 11.3 - Prob. 4CAVCCh. 11.3 - Prob. 5CAVCCh. 11.3 - Prob. 6CAVCCh. 11.3 - Prob. 7CAVCCh. 11.3 - Prob. 1ESCh. 11.3 - Prob. 2ESCh. 11.3 - Prob. 3ESCh. 11.3 - Prob. 4ESCh. 11.3 - Prob. 5ESCh. 11.3 - Prob. 6ESCh. 11.3 - Prob. 7ESCh. 11.3 - Prob. 8ESCh. 11.3 - Prob. 9ESCh. 11.3 - Prob. 10ESCh. 11.3 - Prob. 11ESCh. 11.3 - Prob. 12ESCh. 11.3 - Prob. 13ESCh. 11.3 - Prob. 14ESCh. 11.3 - Prob. 15ESCh. 11.3 - Prob. 16ESCh. 11.3 - Prob. 17ESCh. 11.3 - Prob. 18ESCh. 11.3 - Prob. 19ESCh. 11.3 - Prob. 20ESCh. 11.3 - Prob. 21ESCh. 11.3 - Prob. 22ESCh. 11.3 - Prob. 23ESCh. 11.3 - Prob. 24ESCh. 11.3 - Prob. 25ESCh. 11.3 - Prob. 26ESCh. 11.3 - Prob. 27ESCh. 11.3 - Prob. 28ESCh. 11.3 - Prob. 29ESCh. 11.3 - Prob. 30ESCh. 11.3 - Prob. 31ESCh. 11.3 - Prob. 32ESCh. 11.3 - Prob. 33ESCh. 11.3 - Prob. 34ESCh. 11.3 - Prob. 35ESCh. 11.3 - Prob. 36ESCh. 11.3 - Prob. 37ESCh. 11.3 - Prob. 38ESCh. 11.3 - Prob. 39ESCh. 11.3 - Prob. 40ESCh. 11.3 - Prob. 41ESCh. 11.3 - Prob. 42ESCh. 11.3 - Prob. 43ESCh. 11.3 - Prob. 44ESCh. 11.3 - Prob. 45ESCh. 11.3 - Prob. 46ESCh. 11.3 - Prob. 47ESCh. 11.3 - Prob. 48ESCh. 11.3 - Prob. 49ESCh. 11.3 - Prob. 50ESCh. 11.3 - Prob. 51ESCh. 11.3 - Prob. 52ESCh. 11.3 - Prob. 53ESCh. 11.3 - Prob. 54ESCh. 11.3 - Prob. 55ESCh. 11.3 - Prob. 56ESCh. 11.3 - 57. A person standing close to the edge on the top...Ch. 11.3 - Prob. 58ESCh. 11.3 - Prob. 59ESCh. 11.3 - Prob. 60ESCh. 11.3 - Prob. 61ESCh. 11.3 - Prob. 62ESCh. 11.3 - Prob. 63ESCh. 11.3 - Prob. 64ESCh. 11.3 - Prob. 65ESCh. 11.3 - Prob. 66ESCh. 11.3 - Prob. 67ESCh. 11.3 - Prob. 68ESCh. 11.3 - Prob. 69ESCh. 11.3 - Prob. 70ESCh. 11.3 - Prob. 71ESCh. 11.3 - Prob. 72ESCh. 11.3 - Prob. 73ESCh. 11.3 - Prob. 74ESCh. 11.3 - Prob. 75ESCh. 11.3 - Prob. 76ESCh. 11.3 - Prob. 77ESCh. 11.3 - Prob. 78ESCh. 11.3 - Prob. 79ESCh. 11.3 - Prob. 80ESCh. 11.3 - Prob. 81ESCh. 11.3 - Make Sense? In Exercises 82-85, determine whether...Ch. 11.3 - Prob. 83ESCh. 11.3 - Prob. 84ESCh. 11.3 - Prob. 85ESCh. 11.3 - Prob. 86ESCh. 11.3 - Prob. 87ESCh. 11.3 - Prob. 88ESCh. 11.3 - Prob. 89ESCh. 11.3 - In Exercises 90—91, find the axis of symmetry for...Ch. 11.3 - Prob. 91ESCh. 11.3 - Prob. 92ESCh. 11.3 - Prob. 93ESCh. 11.3 - Prob. 94ESCh. 11.3 - Prob. 95ESCh. 11.3 - Prob. 96ESCh. 11.3 - Prob. 97ESCh. 11.3 - Prob. 98ESCh. 11.3 - Prob. 99ESCh. 11.3 - Prob. 100ESCh. 11.3 - Prob. 101ESCh. 11.4 - Prob. 1CAVCCh. 11.4 - Prob. 2CAVCCh. 11.4 - Prob. 3CAVCCh. 11.4 - Prob. 4CAVCCh. 11.4 - Prob. 5CAVCCh. 11.4 - Prob. 1ESCh. 11.4 - Prob. 2ESCh. 11.4 - Prob. 3ESCh. 11.4 - Prob. 4ESCh. 11.4 - Prob. 5ESCh. 11.4 - Prob. 6ESCh. 11.4 - Prob. 7ESCh. 11.4 - Prob. 8ESCh. 11.4 - Prob. 9ESCh. 11.4 - Prob. 10ESCh. 11.4 - Prob. 11ESCh. 11.4 - Prob. 12ESCh. 11.4 - Prob. 13ESCh. 11.4 - Prob. 14ESCh. 11.4 - Prob. 15ESCh. 11.4 - Prob. 16ESCh. 11.4 - Prob. 17ESCh. 11.4 - Prob. 18ESCh. 11.4 - Prob. 19ESCh. 11.4 - Prob. 20ESCh. 11.4 - Prob. 21ESCh. 11.4 - Prob. 22ESCh. 11.4 - Prob. 23ESCh. 11.4 - Prob. 24ESCh. 11.4 - Prob. 25ESCh. 11.4 - Prob. 26ESCh. 11.4 - Prob. 27ESCh. 11.4 - Prob. 28ESCh. 11.4 - Prob. 29ESCh. 11.4 - Prob. 30ESCh. 11.4 - Prob. 31ESCh. 11.4 - Prob. 32ESCh. 11.4 - Prob. 33ESCh. 11.4 - Prob. 34ESCh. 11.4 - Prob. 35ESCh. 11.4 - Prob. 36ESCh. 11.4 - Prob. 37ESCh. 11.4 - Prob. 38ESCh. 11.4 - Prob. 39ESCh. 11.4 - Prob. 40ESCh. 11.4 - Prob. 41ESCh. 11.4 - Prob. 42ESCh. 11.4 - Prob. 43ESCh. 11.4 - Prob. 44ESCh. 11.4 - Prob. 45ESCh. 11.4 - Prob. 46ESCh. 11.4 - Prob. 47ESCh. 11.4 - Prob. 48ESCh. 11.4 - Prob. 49ESCh. 11.4 - Prob. 50ESCh. 11.4 - Prob. 51ESCh. 11.4 - Prob. 52ESCh. 11.4 - Prob. 53ESCh. 11.4 - Prob. 54ESCh. 11.4 - Prob. 55ESCh. 11.4 - Prob. 56ESCh. 11.4 - Prob. 57ESCh. 11.4 - Prob. 58ESCh. 11.4 - Prob. 59ESCh. 11.4 - Prob. 60ESCh. 11.4 - Prob. 61ESCh. 11.4 - Prob. 62ESCh. 11.4 - Prob. 63ESCh. 11.4 - Prob. 64ESCh. 11.4 - Prob. 65ESCh. 11.4 - Prob. 66ESCh. 11.4 - Prob. 67ESCh. 11.4 - Prob. 68ESCh. 11.4 - Prob. 69ESCh. 11.4 - Prob. 70ESCh. 11.4 - Prob. 71ESCh. 11.4 - Prob. 72ESCh. 11.4 - Prob. 73ESCh. 11.4 - Prob. 74ESCh. 11.4 - Prob. 75ESCh. 11.4 - Prob. 76ESCh. 11.5 - Prob. 1CAVCCh. 11.5 - Prob. 2CAVCCh. 11.5 - Fill in each blank so that the resulting statement...Ch. 11.5 - Prob. 4CAVCCh. 11.5 - Prob. 5CAVCCh. 11.5 - Prob. 1ESCh. 11.5 - Prob. 2ESCh. 11.5 - Prob. 3ESCh. 11.5 - Prob. 4ESCh. 11.5 - Prob. 5ESCh. 11.5 - Prob. 6ESCh. 11.5 - Prob. 7ESCh. 11.5 - Prob. 8ESCh. 11.5 - Prob. 9ESCh. 11.5 - Prob. 10ESCh. 11.5 - Prob. 11ESCh. 11.5 - Prob. 12ESCh. 11.5 - Prob. 13ESCh. 11.5 - Prob. 14ESCh. 11.5 - Prob. 15ESCh. 11.5 - Prob. 16ESCh. 11.5 - Prob. 17ESCh. 11.5 - Prob. 18ESCh. 11.5 - Prob. 19ESCh. 11.5 - Prob. 20ESCh. 11.5 - Prob. 21ESCh. 11.5 - Prob. 22ESCh. 11.5 - Prob. 23ESCh. 11.5 - Prob. 24ESCh. 11.5 - Prob. 25ESCh. 11.5 - Prob. 26ESCh. 11.5 - Prob. 27ESCh. 11.5 - Prob. 28ESCh. 11.5 - Prob. 29ESCh. 11.5 - Prob. 30ESCh. 11.5 - Prob. 31ESCh. 11.5 - Prob. 32ESCh. 11.5 - Prob. 33ESCh. 11.5 - Prob. 34ESCh. 11.5 - Prob. 35ESCh. 11.5 - Prob. 36ESCh. 11.5 - Prob. 37ESCh. 11.5 - Prob. 38ESCh. 11.5 - Prob. 39ESCh. 11.5 - Prob. 40ESCh. 11.5 - Prob. 41ESCh. 11.5 - Prob. 42ESCh. 11.5 - Solve each rational inequality in Exercises 41-56...Ch. 11.5 - Prob. 44ESCh. 11.5 - Prob. 45ESCh. 11.5 - Prob. 46ESCh. 11.5 - Prob. 47ESCh. 11.5 - Prob. 48ESCh. 11.5 - Prob. 49ESCh. 11.5 - Prob. 50ESCh. 11.5 - Prob. 51ESCh. 11.5 - Prob. 52ESCh. 11.5 - Prob. 53ESCh. 11.5 - Prob. 54ESCh. 11.5 - Prob. 55ESCh. 11.5 - Prob. 56ESCh. 11.5 - Prob. 57ESCh. 11.5 - Prob. 58ESCh. 11.5 - Prob. 59ESCh. 11.5 - Prob. 60ESCh. 11.5 - Prob. 61ESCh. 11.5 - Prob. 62ESCh. 11.5 - Prob. 63ESCh. 11.5 - Prob. 64ESCh. 11.5 - Prob. 65ESCh. 11.5 - Prob. 66ESCh. 11.5 - Prob. 67ESCh. 11.5 - Prob. 68ESCh. 11.5 - Prob. 69ESCh. 11.5 - Prob. 70ESCh. 11.5 - Prob. 71ESCh. 11.5 - Prob. 72ESCh. 11.5 - Prob. 73ESCh. 11.5 - Prob. 74ESCh. 11.5 - Prob. 75ESCh. 11.5 - Prob. 76ESCh. 11.5 - Prob. 77ESCh. 11.5 - Prob. 78ESCh. 11.5 - Prob. 79ESCh. 11.5 - 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