Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 8 - Section 8.6 - Further Graphing of Quadratic Functions - Exercise Set - Page 527: 60

Answer

5.5 and 5.5

Work Step by Step

The two numbers are $x$ and $11-x$. The product is $(x)(11-x)$, and we want this to be as large as possible. This product is as large as possible as the vertex. $x*(11-x)$ $11x-x^2$ $y=-x^2+11x$ $a=-1$, $b=11$, $c=0$ Vertex: $x=-b/2a$ $x=-11/2*-1$ $x=-11/-2$ $x=5.5$ $x*(11-x)$ $5.5*(11-5.5)$ $5.5*5.5$ $30.25$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.