Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - Review Exercises - Page 301: 25



Work Step by Step

Let's compare $f(x)=2x^2+12x$ to $f(x)=ax^2+bx+c$. We can see that a=0.055, b=-120, c=70000. a>0, hence the graph opens up, hence its vertex is a minimum. The minimum value is at $x=-\frac{b}{2a}=-\frac{-120}{2\cdot 0.055}\approx1091.$
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