Answer:
The diagram reprents the 3 sets and the universal set . The shaded portion clearly can be seen as :

Shaded region = 
Try to understand some what complex
Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6
Step-by-step explanation:
Given equation of line is:

The coefficient of x is the slope of the line so the slope of given line is: -0.75
As parallel lines have equal slopes so the required equation of line will have the same slope.
The slope-intercept form is:

Putting the value of the slope

To find the value of b, putting the point in the equation

Putting the values of m and b, we get

Hence,
Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6
Keywords: Equation of line, Slope-intercept form
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Answer:
I got B) ; 54m2
Step-by-step explanation:
the above diagram is a trapezium.
the area is gotten by; 1/2 (a+b)h
a = shortest side.
b = the longer side that is directly opposite to (a).
h = height.
1/2(3 + 9)9
1/2 by 12 by 9
to get 54
Answer:
absolute max is 120 and absolute min is -8
Step-by-step explanation:
Find critical numbers
f'(x) = 3x^2 - 12x + 9 = 0
= 3(x^2 - 4x + 3) = 0
3(x-3)(x-1) = 0
(x-3) = 0 or (x-1)=0
x = 1,3
Test them!
x<1 Sign of f' on this interval is positive
1<x<3 Sign of f' on this interval is negative
x>3 Sign of f' on this interval is positive
f(x) changes from positive to negative at x = 1 which means there is a relative maximum here.
f(x) changes from negative to positive at x = 3 which means there is a relative minimum here.
Test the endpoints to find the absolute max and min.
f(-1) = -8
f(1) = 12
f(3) = 8
f(7) = 120
The absolute maximum value of f is 120 and the absolute minimum value of f is -8.