Answer:
A
Step-by-step explanation:
Compare the images to 90°, which is right angle, and forms an L. A is just past 90°, B is past 270°, and C is less than 90°.
There are 1728 cubic inches in a cubic foot... not sure bout the sketch part.
Answer:
b.
Step-by-step explanation:
We have to look at sign changes in f(x) to determine the possible positive real roots.

There is only one sign change here, between the -8x and the +4. So that means there is only 1 possible real positive root.
Now we have to look at sign changes in f(-x) to determine the possible negative real roots.

There are 3 sign changes here. That means there are either 3 negative roots or 3-2 = 1 negative root. So we have:
1 positive
3 or 1 negative
We need to pair them up now with all the possible combinations.
If we have 1 positive and 1 negative, we have to have 2 imaginary
If we have 1 positive and 3 negative, we have to have 0 imaginary
Keep in mind that the total number or roots--positive, negative, imaginary--have to add up to equal the degree of the polynomial. This is a 4th degree polynomial, so we will have 4 roots.
Answer:
see explanation
Step-by-step explanation:
The solutions to the systems of equations are at the points of intersection of the 2 graphed functions.
1
There are 2 points of intersection , so 2 solutions at
(0, - 3 ) and (4, 5 )
2
There is 1 point of intersection, so 1 solution at
(- 2, 5 )
3
There are no points of intersection , so no solution
The average rate of change for the function f(x) can be calculated from the following equation

By applying the last formula on the given equations
(1) the first function f
from the table f(3π/2) = -2 and f(2π) = 0
∴ The average rate of f =

(2) the second function g(x)
from the graph g(3π/2) = -2 and g(2π) = 0
∴ The average rate of g =

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h =
By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>
So, the correct answer is option <span>
C) h(x)</span>