Answer:
The equation for the following graph:

Step-by-step explanation:
- You first need to find the slope by using the <u>slope formula</u>:

(where
is the first point and
is the second point)
-Use the given points
and
from the graph for the formula:

Then, you solve:


After you have found the slope, use the slope
and the first point
for the <u>point-slope formula:</u>

<u>(</u>where
is the slope and
is the first point)

Then, you solve:




So, the equation for the following graph is
.
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 3, 5 ]
From the table of values
f(b) = f(5) = 32
f(a) = f(3) = 8
Hence
average rate of change =
=
= 12
Since the remander is 0 the answer is 2x²+5x+2
Answer:
Area of the shaded region= 
Step-by-step explanation:
Area of the shaded region=Area of the rectangle-Area of the circle
Area of rectangle= 

Area is:

Area of the circle = 

As, 
Area of the Circle is :

Area of the Shaded region:
Area of the shaded region