Answer:
We conclude that:
f(g(3)) = 2
Hence, option B is correct.
Step-by-step explanation:
Given the f(x) table
x 2 3 4 5
f(x) 0 1 2 3
Given the g(x) table
x 1 2 3 4
g(x) 1 2 4 8
We need to determine f(g(3)).
In order to determine f(g(3)), first, we need to determine g(3)
It is clear from the table of g(x),
at x = 3, g(3) = 4
so
f(g(3)) = f(4)
Now, we need to check the value of f(4) at x = 4 using the table f(x)
It is clear from the table of f(x),
at x = 4, f(4) = 2
Thus,
f(g(3)) = f(4) = 2
Therefore, we conclude that:
f(g(3)) = 2
Hence, option B is correct.
7 is the leases common I’m pretty sure
There's an app called photo math that can really help you with your problem
Answer:
8x^3-46x^2-5x+18
Step-by-step explanation:
The volume of a rectangular prism is L*W*H where
L=length
W=width
H=height.
So we want to probably find the standard form of this multiplication because writing (4x+3)(x-6)(2x-1) is too easy.
Let's multiply (4x+3) and (x-6), then take that result and multiply it to (2x-1).
(4x+3)(x-6)
I'm going to use FOIL here.
First: 4x(x)=4x^2
Outer: 4x(-6)=-24x
Inner: 3(x)=3x
Last: 3(-6)=-18
---------------------------Add.
4x^2-21x-18
So we now have to multiply (4x^2-21x-18) and (2x-1).
We will not be able to use FOIL here because we are not doing a binomial times a binomial.
We can still use distributive property though.
(4x^2-21x-18)(2x-1)
=
4x^2(2x-1)-21x(2x-1)-18(2x-1)
=
8x^3-4x^2-42x^2+21x-36x+18
Now the like terms are actually already paired up we just need to combine them:
8x^3-46x^2-5x+18
It depends. If it's .5 or above, round up.
If it's .4, round down
