Answer:
The average rate of change of the function over the interval is of 6.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function h(x) over an interval [a,b] is given by:

In this question:
Over the interval [-9,-2], so 
The function is:



Then

The average rate of change of the function over the interval is of 6.
Answer:
The circumference of the circle = 26π unit.
Step-by-step explanation:
Given:
Radius of the circle, r = "x+6"
Diameter of the circle, d = "3(x)+5"
We have to find the circumference of the circle in terms of pi.
Formula to be used:
Circumference of a circle = 2πr or πd
As we know that:
Radius = Half of diameter
So,
⇒ 
⇒
⇒ 
⇒ 
⇒
...<em>Arranging variables and constants. </em>
⇒
Plugging x = 7 we will find the radius and the diameter.
⇒ Radius = "x+6" = "7+6" = 13
⇒ Diameter = "3(x)+5" = 3(7)+5 =26
Lets find the circumference of the circle.
⇒ Circumference =
Or
⇒ Circumference =
The circumference of the circle = 26π unit.
C is the answer...............................
Answer:
B
Step-by-step explanation:
Then, since the area of the figure is halved, you would multiply the area of the figure by 1/2 as well.