Answer:
I would love it :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given f(x) = 2x²+16
g(x) = √5x³
First is to get the composite function f(g(x))
f(g(x)) = f(√5x³)
To get f(√5x³), we will replace x in f(x) with √5x³ as shown:
f(√5x³) = 2(√5x³)²+16
f(√5x³) = 2(5x³)+16
f(√5x³) = 10x³+16
Hence f(g(x)) = 10x³+16
f(g(x)) will be the function of amount earned by Raul for the total number hour he works
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
<h3>Trigonometry identity</h3>
Trigonometry identities are expressed as a function of cosine, sine and tangent.
Given the trigonometry expression shown
4cos2θ+9=−14cosθ
Equate to zero
4cos2θ+9 + 14cosθ = 0
According to trig identity
cos2θ = 2cos²θ - 1
Substitute to have:
4(2cos²θ - 1)+9 + 14cosθ = 0
Expand
8cos²θ - 4 + 9 + 14cosθ = 0
8cos²θ+ 14cosθ + 5 = 0
let P = cosθ to have;
8P² + 14P + 5 = 0
Factorize the result
8P² + 10P + 4P + 5 = 0
2P(4P+5)+1(4P+5)=0
(2P+1) = 0 and 4P+5 = 0
2P = -1 and P = -5/4
P = -1/2 and -5/4
Recall that P = cosθ
If P = -1/2
cosθ = -1/2
θ = -60
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
Learn more on trigonometry identity here: brainly.com/question/24349828
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The answer is 11.25$;75*25%
