Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>
The average rate of change of a function over the interval ![[a,b]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D)
is equal to 
, hence:
Therefore, the average rate of change of 
over the interval ![[5,9]](https://tex.z-dn.net/?f=%5B5%2C9%5D)
is 
.
<u>Part B</u>
Do the same thing as in Part A:
Therefore, the average rate of change of 
over the interval ![[0.25,1]](https://tex.z-dn.net/?f=%5B0.25%2C1%5D)
is 
.
<u>Part C</u>
To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).
There are 5280 feet in a mile
There are 3600 seconds in an hour
to get 40 miles per hour
we multiply 40 by 5280 and divide by 3600
40 * 5280 / 3600
this gets us 58.666666...
but since they want us to round to the nearest whole number, our answer would be 59 feet per second
Plotting the 4 points and doing visual inspection will tell us if the quadrilateral is a parallelogram. We can also do analytical techniques which are to determine the slope and the distance between the points. Doing either of these two will give us
<span>B. Yes,TUVW quadrilateral s a parallelogram because there are two pairs of parallel sides.
</span>
Answer: -3
Step-by-step explanation:
The common ratio of the geometric sequence –4, 12, -36,... is -3.
12/(-4) =-3
-36/(12) = -3
They both multiply -3 for the next number.
