Answer:
B
if f(x-4) then we should put x-4 where the x is spouse to be so;
-2(x-4)-1 =
-2x + 8 - 1 =
-2x + 7
Answer:
There are a total of
functions.
Step-by-step explanation:
In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.
The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words
Answer:
Part a) The equation for the volume of the film canister is
Part b) The radius of the film canister is 
Step-by-step explanation:
<u><em>The complete question is</em></u>
A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.
a. Write an equation for the volume of the film canister.
b. What is the radius of the film canister?
Part a) Write an equation for the volume of the film canister
we know that
The volume of a cylinder is equal to

where
r is the radius of the circular base
h is the height of the cylinder
we have


substitute
----> equation for the volume of the film canister
Part b) What is the radius of the film canister?
we have


Simplify
Divide by 8π both sides

square root both sides

The correct answer would be 9
Last one
<span>f(x) = 4x and g(x) = 3x
</span><span> (fog)(x)
</span>you need take value of g(x), 3x, and put 3x instead of x in f(x) function
(fog)(x)=4*(3x)=12x