Answer:
y = 10x^2 + x +21
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given
--- Volume
--- Diameter
Required
Find the volume
First, we calculate the radius, r

Substitute 23 for D


Substitute 11.5 for r in 





Answer:
2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 0, 2 ], thus
f(b) = f(2) = -(2)² + 4)(2) + 2 = - 4 + 8 + 2 = 6
f(a) = f(0) = 2
average rate of change =
=
= 2

The degree of f(x) is 4. Also the leading coefficient is 1 and it is positive
So as x approaches infinity then y approaches infinity
as x approaches -infinity then y approaches infinity
The first and fourth graph goes up and it satisfies the above . so we ignore the second and third graph.
Now we check the x intercepts of the first graph
x intercepts of first graph is -4 and 2
Plug in -4 for x in f(x) and check whether we get 0


Now plug in 2 for x and check

So -4 and 2 are the x intercepts that satisfies f(x)
Hence first option is the graph of 