Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.5 Add and Subtract Rational Expressions - 8.5 Exercises - Problem Solving - Page 587: 42

Answer

See below.

Work Step by Step

$R_t=\frac{1}{\frac{1}{R_1}+\frac{1}{R_2}}=\frac{1}{\frac{R_2}{R_1R_2}+\frac{R_1}{R_1R_2}}=\frac{1}{\frac{R_1+R_2}{R_1R_2}}=\frac{R_1R_2}{R_1+R_2}$ Plugging in the given values we get: $R_t=\frac{(2000)(5600)}{2000+5600}\approx1473.7$
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