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BabaBlast [244]
3 years ago
6

Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, wher

e x is the number of gallons of ice cream he makes. The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x^{2} + 4
g(x) = \sqrt{3x^{3}
Mathematics
1 answer:
Sliva [168]3 years ago
4 0

The value of f(g(x)) is 6x^{3} +4

Explanation:

The function f(x) is given by

f(x)=2x^{2} +4

The function g(x) is given by

g(x)=\sqrt{3x^{3} }

To determine the value of f(g(x)), let us first substitute the value of g(x).

Thus, we get,

f(g(x))=f(\sqrt{3x^{3} } )

Now, substituting for x=\sqrt{3x^{3} } in the function f(x), we get,

f(g(x))=2(\sqrt{3x^{3} } )^2+4

Simplifying, the expression, we get,

f(g(x))=2({3x^{3} } )+4

Multiplying the term within the bracket, we have,

f(g(x))=6x^{3} +4

Thus, the value of f(g(x)) is 6x^{3} +4

Hence, the value of f(g(x)) represents the total amount of money that Barrett earns for working x hours.

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Charra [1.4K]

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Step-by-step explanation:

1. n = -199 - 219 = \boxed{-418}.

2. m = 438 - (-290) = 438 + 290 = \boxed{728}.

3. 128 - (-318) = 128 + 318 = \boxed{446}.

4. The sum of 429 and 429 is 429+429 = 858. We need to subtract this from 429, so 429 - 858 = \boxed{-429}.

5. The sum of 510 and 319 is 510+319 = 829. Subtracting -330, we get 829 - (-330) = 829 + 330 = \boxed{1159}.

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4 0
2 years ago
Suceción numerica 265 250 235 220 ____ ____ 175 ____ 145 130 ____ ____ ____ y aqui otra 4 12 36 ____ ____ ____ 2916 8748 ____ __
alina1380 [7]

Respuesta:

A la primera le vas a quitar 15 con cada número. A la segunda, todo lo multiplicas por 3 cada vez que vas avanzando.

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3 years ago
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Answer:

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Step-by-step explanation:

as lines are parallel.

external alternate angles are equal.

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