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tino4ka555 [31]
3 years ago
8

Given the definitions of f(x) and g(x) below, find the value of (gºf)(-5).

Mathematics
1 answer:
jolli1 [7]3 years ago
5 0

Answer:

(g ○ f)(- 5) = 4

Step-by-step explanation:

evaluate f(- 5) then substitute the value obtained into g(x)

f(- 5) = (- 5)² + 6(- 5) + 3 = 25 - 30 + 3 = - 2 , then

g(- 2) = 2(- 2) + 8 = - 4 + 8 = 4

(g ○ f)(- 5) = 4

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How many gallons of a 20% acid solution should be mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solut
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Answer:

30 gallons of 20% acid solution should be mixed.

Step-by-step explanation:

Let x gallons of a 20% acid solution was mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solution.

Therefore, final volume of the solution will be (x + 30) gallons.

Now concept to solve this question is

20%.(x) + 40%.(30) = 30%.(x + 30)

0.20(x) + 0.40(30) = 0.30(x + 30)

0.20x + 12 = 0.30x + 9

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x = \frac{3}{0.1}

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