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makvit [3.9K]
4 years ago
7

Please help its due tomorrow f(x)=4x^2+5x+3 g(x)=5x-7 find g(f(x))

Mathematics
1 answer:
nalin [4]4 years ago
7 0

Answer:

20x²  + 25 x + 8

Step-by-step explanation:

f(x) = 4x² + 5x + 3

g(x) = 5x -7

Then:

g(f(x)) = 5(4x² + 5x + 3) -7

g(f(x)) = 20x² + 25x + 15 - 7

g(f(x)) = 20x² + 25x + 8

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It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}

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