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...
I assume that the numbers are: 4,4,6,1,5,2,6
If so, then the MAD is 1.43
To find the MAD, you first find the mean of the list. It is 4.
Then find the absolute difference of each number from the mean.
Those values are: 0,0,2,3,1,2,2
Now find the mean of those numbers and you have about: 1.43
Answer: 40 mi/h
Step-by-step explanation:
it goes up 80 and over 2, so the rate of change is 80/2 = 40 mi/h
<span>
<span>We can
use the Pythagorean Theorem (A² + B² = C²) to solve for the lengths of the
sides. We know that the diagonal, C, is 30 meters long, so C² = 900 meters.
We know that since the park is square, A² + B² = 2A² = 2B²
900 = 2A²
A^2 = 450
Taking the square root of 450, we find that the lengths of A and B are
roughly 21.2 meters.</span>
</span>
Answer: x=-10
Step-by-step explanation:
