Find the point on the graph of the given function at which the slope of the tangent line is the given slope. f(x) = 8x +3x-9; slope of the tangent line = - 4

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 28E: Find two points on the line and use slope formula to find the slope of the line. f(x)=5x8
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Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
f(x) = 8x +3x- 9; slope of the tangent line = - 4
The point at which the slope of the tangent line is -4 is
(Simplify your answer. Type an ordered pair.)
Transcribed Image Text:Find the point on the graph of the given function at which the slope of the tangent line is the given slope. f(x) = 8x +3x- 9; slope of the tangent line = - 4 The point at which the slope of the tangent line is -4 is (Simplify your answer. Type an ordered pair.)
The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the function
f(x) =
2(1-x)
%3D
where x is a quantity between 0 and 1 known as the traffic intensity. Find the rate of change of the number of vehicles
in line with respect to the traffic intensity for x = 0.4.
The rate of change for x 0.4 is .
(Simplify your answer. Type an integer or decimal rounded to four decimal places as needed.)
Transcribed Image Text:The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the function f(x) = 2(1-x) %3D where x is a quantity between 0 and 1 known as the traffic intensity. Find the rate of change of the number of vehicles in line with respect to the traffic intensity for x = 0.4. The rate of change for x 0.4 is . (Simplify your answer. Type an integer or decimal rounded to four decimal places as needed.)
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