f(x) = 64x³ - 125
Multiply each term in the second factor by each term in the first factor
= 4x(16x² + 20x + 25) - 5(16x² + 20 x + 25)
=64x³ + 80x² + 100x - 80x² - 100x - 125
= 64x³ - 125 ← difference of cubes
Answer:
a i the answer
Step-by-step explanation:
l ≤ 12
2l + 2w < 30
Answer:
yes, they are
Step-by-step explanation:
3;5 = 6;10
Answer:
I'm going to lay this out in a chart so it's a little easier to see:
F(x) = f(g(x))
x | f (x) | f ' (x) | g (x) | g ' (x)
--------------------------------------
-2 | 8 | 4 |
5 | | 3 | -2 | 6
Remember the chain rule, which says
(f (g (x))) ' = g ' (x) f ' (g (x))
When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.
Using the chain rule, that's
F ' (5) = g ' (5) f ' (g (5))
We can simplify using the numbers provided.
F ' (5) = (6) f ' (-2)
F ' (5) = (6) (4)
F ' (5) = 24
I hope that helps!
by jannat <33
