Average rate of change is just the slope between the 2 points
we can do this the long way or the smart way
long way, find the 2 points and find the slope between them
when x=-5, f(-5)=-2(-5)+1=10+1=11
when x=1, f(1)=-2(1)+1=-2+1=-1
so the points are (-5,11) and (1,-1)
the slope between them is (-1-11)/(1-(-5))=(-12)/(1+5)=-12/6=-2
the answer is B, -2
smart way
recognize that that is a linear equation and the slope between any 2 points will be the m in y=mx+b
f(x)=-2x+1
the slope is -2
the average rate of change is -2
answer is B. -2
Answer:
72 cubic inches
Step-by-step explanation:
The volume of a rectangular prism shape, such as a brick, is the product of its dimensions:
V = LWH
V = (8 in)(4 in)(2.25 in) = 72 in^3
The volume of each brick is 72 cubic inches.
The cubic inches left is 20.05 cubic inches.
<h3 /><h3>Description of the glass </h3>
A glass has the shape of a cylinder. In order to determine which glass is left, the volume of the glass has to be determined. Then what is drank would be subtracted from the volume of the glass.
<h3>
Volume of the cylinder. </h3>
Volume of a cylinder = nr^2h
- n = 22/7
- r = radius= 2.5 / 2 = 1.25
22/7 x 1.25^2 x 5 = 24.55 cubic inches
<h3>Determination of what is left </h3>
24.55 - 4.5 = 20.05 cubic inches
To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219
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