Select all of the following for which there exist nonzero constants which can be substituted into the equation to make it true. [Hint: For at least one of these you may want to compare the left and right side as x approaches -5.] 10 (x - 10)(x + 5) (x - 10)(x + 5) (x-10) (x + 5) 6 None of the Above B x-10 b x-10*x+5 b x - 10 x+5 X

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Select all of the following for which there exist **nonzero** constants which can be substituted into the equation to make it true. [Hint: For at least one of these you may want to compare the left and right side as *x* approaches -5.]

- [ ] \(\frac{a}{(x-10)(x+5)} = \frac{b}{x-10}\)
- [x] \(\frac{a}{(x-10)(x+5)} = \frac{b}{x-10} + \frac{c}{x+5}\)
- [x] \(\frac{a}{(x-10)(x+5)} = \frac{b}{x-10} + \frac{c}{x+5} + \frac{1}{6}\)
- [ ] None of the Above
Transcribed Image Text:Select all of the following for which there exist **nonzero** constants which can be substituted into the equation to make it true. [Hint: For at least one of these you may want to compare the left and right side as *x* approaches -5.] - [ ] \(\frac{a}{(x-10)(x+5)} = \frac{b}{x-10}\) - [x] \(\frac{a}{(x-10)(x+5)} = \frac{b}{x-10} + \frac{c}{x+5}\) - [x] \(\frac{a}{(x-10)(x+5)} = \frac{b}{x-10} + \frac{c}{x+5} + \frac{1}{6}\) - [ ] None of the Above
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