The average rates of change of f(x) and their corresponding intervals are given as:
Interval Rate of Change
[-5, -1] -8
[-4, -1] -7
[-3, 1] -4
[-2, 1] -3.
<h3>What is the explanation for the above?
</h3>
Step 1 - See Table Attached
Step 2 - State the formula for rate of change
The formula for rate of change is given as:
= [change in f(x)] / [change in x]
a) For interval [5, -1] ⇒
Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]
= [-1 - 35] / [-1+5]
= -36 / 4
= - 8
b) For interval [-4, -1] ⇒
rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]
= [3 - 24] / [-1 + 4]
= -21/3
= - 7
c) interval [-3,1] ⇒
rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]
= [-1 - 15] / [1 + 3]
= -16/4
= - 4
d) interval [-2,1] ⇒
rate of change = [f (1) - f(-2)] / [1 - (-2)]
= [ -1 - 8] / [1 + 2]
= -9/3
= -3
Learn more about rate of change at:
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Answer:
They are both identical cubes which makes it much easier.
Work out the volume for just one first.
The formula for volume is:
l x w x h
However, since it is a cube, all lengths are the same.
3 x 3 x 3 = 27
Now multiply it by 2 to get the volume of both combined:
27 x 2 = 54.
In short, your answer is 54cm 3
Hope This Helps You!
Good Luck :)
Step-by-step explanation:
Answer:
4032 different tickets are possible.
Step-by-step explanation:
Given : At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the first two races. If the first race runs 9 horses and the second runs 8.
To find : How many different tickets are possible ?
Solution :
In the first race there are 9 ways to pick the winner for first and second place.
Number of ways for first place -
Number of ways for second place -
In the second race there are 8 ways to pick the winner for first and second place.
Number of ways for first place -
Number of ways for second place -
Total number of different tickets are possible is
Therefore, 4032 different tickets are possible.
Step-by-step explanation:
first u must find the area of the rectangle.after that,find the area of the square.then you have tu subtract it so that u can get the orange area.