Answer:
f(g(x)) = 2(x^2 + 2x)^2
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Step-by-step explanation:
Given;
f(x) = 2x^2
g(x) = x^2 + 2x
To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).
f(g(x)) = 2(g(x))^2
f(g(x)) = 2(x^2 + 2x)^2
Expanding the equation;
f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)
f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)
f(g(x)) = 2(x^4 + 4x^3 + 4x^2)
f(g(x)) = 2x^4 + 8x^3 + 8x^2
Hope this helps...
Answer:
Should be 4.0(Not sure tho. my thought process is complicated but to me it makes sense)
Step-by-step explanation:
If y=10 and x =2.5, if y were to = 20, then x would equal 5. so you take that ratio, and say 6 is 3/5's the way to 10, so you also divide 2.5 by 3/5
you get 1.5, you add that to x already and you get 4.0
so if y=16, x should =4.0
Answer:
9
Step-by-step explanation:
I think what they are asking is to subtract the 3 tokens from 21 tokens he already has giving us 18. and since it says "Twice the number of tokens" I'm assuming you divide 2 from 18 giving you 9 tokens.
Answer:
I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.
Step-by-step explanation:
So, for the chart you just mulitply and evauluate
Time (min) | 2 | 3 | 4 | 5 | 6 |
Water used (gal) | 8 | 12 | 16 | 20 | 24 |
