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The shaded region between the graphs of y 2.x +20 and y= 3x- 15 is displayed below in 25 - 40 orange. The shaded region lies between x = and r = A typical rectangle is shown in the diagram located at position x. What is the height of this rectangle, in terms of x? Now find the total area of the orange shaded region. A = Question Help: Message instructor Add Work

The shaded region between the graphs of y 2.x +20 and y= 3x- 15 is displayed below in 25 - 40 orange. The shaded region lies between x = and r = A typical rectangle is shown in the diagram located at position x. What is the height of this rectangle, in terms of x? Now find the total area of the orange shaded region. A = Question Help: Message instructor Add Work

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 40E
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The shaded region between the graphs of y 2.x +20 and y= 3x- 15 is displayed below in 25 - 40 orange. The shaded region lies between x = and x = A typical rectangle is shown in the diagram located at position x. What is the height of this rectangle, in terms of x? Now find the total area of the orange shaded region. A = Question Help: Message instructor Add Work
Transcribed Image Text:The shaded region between the graphs of y 2.x +20 and y= 3x- 15 is displayed below in 25 - 40 orange. The shaded region lies between x = and x = A typical rectangle is shown in the diagram located at position x. What is the height of this rectangle, in terms of x? Now find the total area of the orange shaded region. A = Question Help: Message instructor Add Work
Expert Solution
Step 1

Given:-

The Shaded region between the graphs of y = - 2x2 + 20 and y = 3x - 15

Now, - 2x2 + 20 = 3x - 15

2x2 + 3x - 20 - 15 = 0

2x2 + 3x - 35 = 0

2x2 + 10x - 7x - 35 = 0

2x (x + 5) - 7 (x + 5) = 0

(x + 5) (2x - 7) = 0

x + 5 = 0 ; x = -5

2x - 7 = 0 ; x = 7/2 = 3.5

So, The shaded region lies between x = -5 and x = 3.5

 

 

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