Find the value of r(q(4)), so first you need to find the value of q(4).
q(4), this means that x = 4, so substitute/plug it into the equation to find the value of q(x) when x = 4:
q(x) = -2x - 1 Plug in 4 into "x" since x = 4
q(4) = -2(4) - 1
q(4) = -8 - 1
q(4) = -9
Now that you know the value of q(4), you can find the value of r(x) when x = q(4)
r(x) = 2x² + 1
r(q(4)) = 2(q(4))² + 1 Plug in -9 into "q(4)" since q(4) = -9
r(q(4)) = 2(-9)² + 1
r(q(4)) = 2(81) + 1
r(q(4)) = 163 163 is the value of r(q(4))
Answer:
<em>The difference quotient of f is 8. </em><em>Option C</em>
Explanation:
<u>Difference Quotient</u>
Given a function f(x), the difference quotient is defined as

The function provided in the question is

Find f(x+h) by substituting x by x+h:


Now compute:

Operating:

Simplifying:

d=8
A. Incorrect.
This choice is different from the answer.
B. Incorrect.
This choice is different from the answer.
C. Is correct
The difference quotient is 8 as explained above.
D. Incorrect.
This choice is different from the answer.
The square root of 430 is about 20.493
Well we can find the perimeter by using the formula P=2L + 2W
P=2(30) + 2(18) P=60+36 P=96
I believe we can divide the perimeter by 18 to find the total amount of lights needed.
96÷18=5.333333
So we know at least 5 lights are needed.
I'm not sure if I'm correct, but I hope this helped anyways :)
Answer:
We conclude that:
Step-by-step explanation:
Given
The product of 6g² and -2g³ can be determined by multiplying each other such as:

Apply the rule: a(-b) = -ab

Apply exponent rule: 



Therefore, we conclude that: