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4 years ago

Given the functions f(x) = 10x + 25 and g(x) = x+8, which of the following functions represents f(g(x)] correctly?

Mathematics

1 answer:

victus00 [196]4 years ago

3 0

Answer:

g(x + 8) = 10x + 105 wherever you see it among your answers.

Step-by-step explanation:

I think I have enough here that I can answer the question, but you should always put in your givens.

f(x) = 10x + 25 Put g(x) where you see x in f(x)

f(g(x)) = 10(g(x) + 25 Put the value for g(x) where you see g(x)

f(x+8) = 10(x + 8) + 25 This might be the answer

From here it is a guess.

f(x+8) = 10x + 80 + 25 Combine the like terms

f(x+8) = 10x + 105

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Helga [31]

To help vegetables stay fresh longer, Volume of storage of 951 cubic feet is equal to 26.929 $m^3$

<u>Solution:</u>

Given that to help vegetables stay fresh longer, Liam’s family maintains storage.

Total volume of root cellar that is storage is 951 cubic feet.

Also given that 1 foot = 0.3048 meters

need to find the volume of storage in cubic meter that is $m^3$

$\begin{array}{l}{\text { As } 1 \text { foot }=0.3048 \mathrm{m}} \\\\ {\Rightarrow 1 \text { foot } \times 1 \text { foot }=0.3048 \mathrm{m} \times 0.3048 \mathrm{m}} \\\\ {\Rightarrow 1 \text { foot } \times 1 \text { foot } \times 1 \text { foot }=0.3048 \mathrm{m} \times 0.3048 \mathrm{m} \times 0.3048 \mathrm{m}} \\\\ {=1 \mathrm{foot}^{3}=0.0283 \mathrm{m}^{3}} \\\\ {\Rightarrow 1 \text { cubic feet }=0.0283 \mathrm{m}^{3}}\end{array}$

$\text { So } 951 \text { cubic feet }=951 \times 0.0283 \mathrm{m}^{3}=26.929 \mathrm{m}^{3}$

Hence volume of storage of 951 cubic feet is equal to 26.929 $m^3$

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