Answer:
Explanation:
fg(x) = (x+2)(3x^2 - 1)
= 3x^3 - x + 6x^2 - 2
= 3x^3 + 6x^2 - x - 2
gf(x) = (3x^2 - 1)(x + 2)
= 3x^3 + 6x^2 - x - 2
As you can see:
fg(x) = gf(x)
3x^3 + 6x^2 - x - 2 = 3x^3 + 6x^2 - x - 2
The given equation is:
We have to find, which of the given set of parametric equations given in the options, result in the above equation:
The correct answer would be option A.
The equations in option A are:
From first equation we can see that 5t is equal to x. Using the value of 5th in second equation, we get the equation as:
Therefore, the correct answer is option A
Answer:
The length is 12 inches.
Step-by-step explanation:
The volume of a rectangular prism is given by:
V=LBH
It was given that; the rectangular prism has a volume of 600 cubic inches.
The height of the prism is 5 inches and the width is 10 inches.
We want to find the length of the rectangular prism.
We substitute V=600, H=5,and W=10 into the formula:
600=5×10×L
600=20L
Given the circle has a radius of 64, to get the value of the radius,r we shall proceed as follows.
Area=πr^2
Thus;
64=πr^2
64/π=r^2
r^2=20.3718
r=sqrt(20.3718)
r=4.5135
Therefore the length of radius,r=4.5135 units