f (x) = -2x, g(x) = |x+ 2], (-5) = ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 63RE
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Evaluate the function for the given value of x.
33) f(x) = -2x, g(x) = x + 2],
|(-5) = ?
Transcribed Image Text:Evaluate the function for the given value of x. 33) f(x) = -2x, g(x) = x + 2], |(-5) = ?
Solve the problem.
38) A trough at the end of a gutter spout is meant to direct water away from a house.
The homeowner makes the trough from a rectangular piece of aluminum that is
24 in. long and 8 in. wide. He makes a fold along the two long sides a distance of
x inches from the edge.
24 in.
8 - 2x
a. Write a function to represent the volume in terms of x.
b. What value of x will maximize the volume of water that can be carried by the
gutter?
Transcribed Image Text:Solve the problem. 38) A trough at the end of a gutter spout is meant to direct water away from a house. The homeowner makes the trough from a rectangular piece of aluminum that is 24 in. long and 8 in. wide. He makes a fold along the two long sides a distance of x inches from the edge. 24 in. 8 - 2x a. Write a function to represent the volume in terms of x. b. What value of x will maximize the volume of water that can be carried by the gutter?
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