By definition, the average rate of change is given by:

We evaluate each of the functions in the given interval.
We have then:
For f (x) = x ^ 2 + 3x:
Evaluating for x = -2:

Evaluating for x = 3:

Then, the AVR is:




For f (x) = 3x - 8:
Evaluating for x =4:

Evaluating for x = 5:

Then, the AVR is:



For f (x) = x ^ 2 - 2x:
Evaluating for x = -3:

Evaluating for x = 4:

Then, the AVR is:




For f (x) = x ^ 2 - 5:
Evaluating for x = -1:

Evaluating for x = 1:

Then, the AVR is:




Answer:
from the greatest to the least value based on the average rate of change in the specified interval:
f(x) = x^2 + 3x interval: [-2, 3]
f(x) = 3x - 8 interval: [4, 5]
f(x) = x^2 - 5 interval: [-1, 1]
f(x) = x^2 - 2x interval: [-3, 4]
Answer:
the number of additional she needed is 135
Step-by-step explanation:
The computation is shown below:
GIven that
40 flowers of 16%
So for 100% it would be
= 40 ×100 ÷ 16
= 250
Now she needs to make is
= 70% - 16%
= 54%
Now the additional would be
= 250 × 54%
= 135
Hence, the number of additional she needed is 135
Hmm... well, here ya go.
1.50 ÷ 0.05 = 30
So, the total is $30
As for the tax rate, including the total, it would be $31.50.
Hope I helped.
Answer:
26
Step-by-step explanation:
Distance between (-2,5) and (-2,1) is 5
Distance between (-2,5) and (6,5) is 8
Distance between (6,5) and (6,1) is 5
Distance between (6,1) and (-2,1) is 8
5+8+5+8=26