Explanation Given Information: Two numbers have a sum of 60 and their product is maximum. Formula used: The vertex of the graph of f ( x ) = a x 2 + b x + c (where a ≠ 0 ) is calculated by the vertex formula, ( − b 2 a , f ( − b 2 a ) ) . The vertex ( x , f ( x ) ) is calculated by the equations, x = − b 2 a f ( x ) = f ( − b 2 a ) Calculation: Two numbers have a sum 60 . Consider x as the first number then other number is 60 − x . According to the problem, that the product of the numbers is maximum. Consider y ( x ) is the function defining the product of the two numbers

Beginning and Intermediate Algebra (6th Edition)

6th Edition

ISBN: 9780321969163

Author: Margaret L. Lial, John Hornsby, Terry McGinnis

Publisher: PEARSON

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Chapter 11.7, Problem 40E

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Chapter 11.7, Problem 39E

Chapter 11.7, Problem 41E

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Chapter 11 Solutions

Beginning and Intermediate Algebra (6th Edition)

Ch. 11.1 - Concept Check Answer each question. 1. Which of...Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Solve each equation using the zero-factor...Ch. 11.1 - Prob. 6E Ch. 11.1 - Solve each equation using the zero-factor...Ch. 11.1 - Prob. 8E Ch. 11.1 - Solve each equation using the zero-factor...Ch. 11.1 - Prob. 10E

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The pair of number whose sum is 60 and whose product in a maximum.

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