Answer:
-2(2x +5)² = -8x² -40x -50
Step-by-step explanation:
Evaluate from the inside out, according to the order of operations.
h(g(f(x))) = h(g(2x +5)) = h((2x +5)²) = -2(2x +5)² = -2(4x² +20x +25)
= -8x² -40x -50
I personally prefer the factored form, but that is not considered "simplified."
You use FOIL (first, outer, inner, last) to check your answer. Eg: (x-4)(x+3)then distribute by using FOIL to get 2 2
x +3x -4x -12 then simplify to get x -x -12
Answer:
c This is the direct variation
Step-by-step explanation:
The equation for direct variation is y= kx
Solving this for k
y/x =k
So y/x must be a constant
a. 9/3 =3
2/7 does not =3 so this is not a direct variation
b 1/2 = .5
-3/6 = -.5
This is not the same so this is not a direct variation
c. 27/9 =3
18/6 =3
9/3 =3
This is a direct variation with a constant of 3
d 5/-7 = -5/7
1/-3 = -1/3
This is not the same so this is not a direct variation
The answer to the question
Answer:
Step-by-step explanation:
(3(18)+2(3.99)+45)(1.08)=(106.98)(1.08)=$115.54 (rounded to nearest cent)