Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter R - Section R.3 - Exponents, Roots, and Order of Operations - R.3 Exercises: 90

Answer

$-\frac{15}{16}$

Work Step by Step

We are given the expression $xy-x^{2}$. We can plug in the given values to solve for the given expression. $xy-x^{2}=(-\frac{3}{4})(\frac{1}{2})-(-\frac{3}{4})^{2}=\frac{-3\times1}{4\times2}-(-\frac{3}{4}\times-\frac{3}{4})=-\frac{3}{8}-(\frac{9}{16})=-\frac{3\times2}{8\times2}-\frac{9}{16}=-\frac{6}{16}-\frac{9}{16}=\frac{-6-9}{16}=\frac{-15}{16}=-\frac{15}{16}$
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