College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.7 - Rational Expressions - R.7 Assess Your Understanding - Page 72: 96

Answer

See below.

Work Step by Step

If we multiply both sides by $R\cdot R_1 R_2 R_3$ we get: $R_1 R_2 R_3=R R_2 R_3+R_1 R R_3+R_1 R_2 R=R(R_2 R_3+R_1 R_3+R_1 R_2)$. Thus $R=\frac{R_1 R_2 R_3}{R_2 R_3+R_1 R_3+R_1 R_2}$. Here this is $R=\frac{(5)(4)(10)}{(4)(10)+(5)(10)+(5)(4)}=\frac{200}{40+50+20}=\frac{20}{11}$
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