Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
63/240 seats or 21/80
The greatest common denominator is 3, so you would divide both by 3.
Answer:
1lb
Step-by-step explanation:
He bought two lbs of ground beef and used a pound to make hamburgers therefore he has a pound left over.
Answer:
Step-by-step explanation:
The given function are;
f(x) = x² - 3·x - 12, and g(x) = -x - 12
Therefore;
g(-8) = -(-8) - 12 = 8 - 12 = -4
∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16
Therefore;
Answer:
This is a system of equations, meaning there are two equations you will need to use. The first equation would be d + n = 35, where d = dimes and n = nickels. The second equation would be 10d + 5n = 250, since each dime is 10 cents and each nickel is 5 cents totaling at 250 cents. To solve for nickels, solve one equation for dimes and substitute the answer into the d in the other equation. If you need any more help with this one I am happy to help.
Step-by-step explanation:
