Answer:
f(g(x)) = 3(2x^3 -2)^2 - 4x + 2, and f(g(3)) = 3[2(3)^3 -2]^2 -4*3 -2 = 8102
Step-by-step explanation:
because for f(g(x)), the g(x) is the input of f(x), so put 2x^3 -2 into 3x^2 -4x +2, and you will get f(g(x)). because g(3) is the input of f(x), so find g(3) first, the answer is 52, and then put it back into f(x) which will be f(52) =[3(52)^2 - 4(3) +2], then the answer should be 8102.
Answer:
A
Step-by-step explanation:
rational numbers are numbers that can be expressed as fractions.
e.g. 1 , 1/2, 2/7
Answer:
The answer is 6x -7y = 21
Step-by-step explanation:
Im taking the diagnostic
LW = 45
L + 2W = 19
L = 19-2W
substituting for L :-
W(19-2W) = 45
-2W^2 + 19W = 45
2W^2 - 19W + 45 = 0
W = 5 or 4.5
If W = 5, L = 9
If W = 4.5, L = 10
So there are 2 possible answers.
Answer:
22
Sarah's age is best represented by M-24 or as the question used x-24 where the mother's age is best represented by M where the question used x.
Step-by-step explanation:
We are given that Sarah (S) is 24 years younger than her mother (M).
So S=M-24.
We are given that Sarah (S) and her mom's age adds up to 68.
So S+M=68.
We are going to solve this system by substitution since one of the variables is solved for. I'm going to plug first equation into second like so:
(M-24)+M=68 I replaced S with M-24.
M+M-24=68 Put like terms together.
2M-24 =68 Combined the like terms.
2M = 92 Added 24 on both sides.
M = 92/2 Divided 2 on both sides.
M = 46 Simplified the 92/2.
So her mother's age is 46.
We know that S=M-24 so S=46-24=22.
Sarah is 22 years old.
