Answer:
x = 11
distributive law
additive law
multiplication property
Step-by-step explanation:
Given in the question an equation
4(x-7) = 2x-6
Distributive law
a(b+c) = ab +ac
4x - 4(7) = 2x - 6
4x -28 = 2x - 6
Use the addition property of equality to reduce the 2x on the right.
4x - 2x - 28 = 2x - 2x -6
4x -2x -28 = -6
Use the addition property of equality to reduce -28 to zero on the left.
4x - 2x- 28 + 28 = -6 + 28
2x = 22
Use the multiplication property of equality to reduce 2x to just x
2x2 = 22/22
x = 22/2
x = 11
Slope: 3/2.
Y intercept: -3
Equation: Y=3/2x-3
Maybe try dividing 1092 by 21 I got 52
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