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
The answer is 450 ml.
First, we need to solve x (the amount of orange juice):
<span>x + (x + 100) + one half x = 1850
</span>x + x + 100 + 1/2 x = 1850
We can represent 1/2 as 0.5:
2x + 100 + 0.5x = 1850
2.5x = 1850 - 100
2.5x = 1750
x = 1750 ÷ 2.5
x = 700.
Thus, in the fruit punch, there is 700 ml of orange juice.
<span>The amount of pineapple juice combined was 100 ml more than the amount of orange juice. Therefore, there is 800 ml of pineapple juice (700 ml of orange juice + 100 ml more).
</span>
The amount of strawberry juice was half the amount of orange juice. Therefore, there is 350 ml of strawberry juice (700 ml of orange juice ÷ 2).
<span>The difference in the amounts of pineapple juice and strawberry juice Martin combined is 450 ml:
</span>the amounts of pineapple juice - the amounts of strawberry juice =
800 ml of pineapple juice - <span>350 ml of strawberry juice = 450 ml.
</span>
You got it right because you solved it correctly
(p + 6)/8 = (p - 6)/7
7(p + 6) = 8(p - 6)
7p + 42 = 8p - 48
8p - 7p = 42 + 48
p = 90
