Answer:
-27.4
Step-by-step explanation:
All the triangles are isosceles meaning that they have to sides that are equal
Using it's concept, it is found that the average rate of change of the function during the interval from 0 to 2 seconds is given by:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
<h3>What is the average rate of change of a function?</h3>
The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

In this problem, the function is given by:
f(t) = -16t² + 100.
The outputs are given as follows:
- f(0) = -16(0)² + 100 = 100.
- f(0) = -16(2)² + 100 = 36.
Hence the average rate of change is given by:
r = (36 - 100)/(2 - 0) = -32 ft/s.
And the correct option is:
B. -32 ft/s; the average change in altitude of the ball each second over that interval.
More can be learned about the average rate of change of a function at brainly.com/question/24313700
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Answer:
The numbers are 23 and 7
Step-by-step explanation:
1. Set up the equations
Let x = the greater number
and y = the smaller number. Then
(1) x - y = 16
4y = 4 times the smaller number and
4y - 5 = 5 less than 4 times the smaller number. Then
(2) x = 4y - 5
You have a system of two equations:

2. Solve the equations

The larger number is 23; the smaller number is 7.
3. Check

OK.