Answer: C & D
Step-by-step explanation:
<h3>
Answer: 41</h3>
Work Shown:
f(x) = 6x^2 - 13
f(x) = 6(x)^2 - 13
f(-3) = 6(-3)^2 - 13 ... replace every x with -3; use PEMDAS to simplify
f(-3) = 6(9) - 13
f(-3) = 54 - 13
f(-3) = 41
Answer:
The answer is B
Step-by-step explanation:
The area of a rectangle is the product of its dimensions
The dimensions of the rectangle are:
and ![\mathbf{Width = a^2 + 5a + 25}](https://tex.z-dn.net/?f=%5Cmathbf%7BWidth%20%3D%20a%5E2%20%2B%205a%20%2B%2025%7D)
The area is given as:
![\mathbf{Area = a^3 - 125}](https://tex.z-dn.net/?f=%5Cmathbf%7BArea%20%3D%20a%5E3%20-%20125%7D)
Express 125 as 5^3
![\mathbf{Area = a^3 - 5^3}](https://tex.z-dn.net/?f=%5Cmathbf%7BArea%20%3D%20a%5E3%20-%205%5E3%7D)
Apply difference of cubes
![\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}](https://tex.z-dn.net/?f=%5Cmathbf%7BArea%20%3D%20%28a%20-%205%29%28a%5E2%20%2B%205a%20%2B%205%5E2%29%7D)
![\mathbf{Area = (a - 5)(a^2 + 5a + 25)}](https://tex.z-dn.net/?f=%5Cmathbf%7BArea%20%3D%20%28a%20-%205%29%28a%5E2%20%2B%205a%20%2B%2025%29%7D)
The area of a rectangle is:
![\mathbf{Area = Length \times Width}](https://tex.z-dn.net/?f=%5Cmathbf%7BArea%20%3D%20Length%20%5Ctimes%20Width%7D)
So, by comparison:
![\mathbf{Length = a -5}](https://tex.z-dn.net/?f=%5Cmathbf%7BLength%20%3D%20a%20-5%7D)
![\mathbf{Width = a^2 + 5a + 25}](https://tex.z-dn.net/?f=%5Cmathbf%7BWidth%20%3D%20a%5E2%20%2B%205a%20%2B%2025%7D)
Read more about areas at:
brainly.com/question/3518080
Inches
centimeters would be too small
Good luck!