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Lady_Fox [76]
3 years ago
14

What is the value for ƒ(x) = 42x - 100 when x = 2 ?

Mathematics
1 answer:
Anton [14]3 years ago
3 0
F(2)=42(2)-100
f(2)= -16
f(2)/-16= -8
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s = hours it takes the small pipe on its own.


L = hours it takes the large pipe on its own.


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well, if it takes 11 hours to do the whole thing, in 1 hour it has done only 1/11 of the whole job.


we know both pipes working together can do it in 6 hours flat. So in 1 hour only, both of them have done only 1/6 of the whole thing.


in that 1 hour, how much has the large one done? well, it has only done 1/L of the job.


\bf \stackrel{\textit{how much has it been done by both in 1 hour}}{\stackrel{\stackrel{small}{rate}}{\cfrac{1}{s}}+\stackrel{\stackrel{large}{rate}}{\cfrac{1}{L}}~~=~~\stackrel{job}{\cfrac{1}{6}}} \\\\\\ \cfrac{1}{11}+\cfrac{1}{L}=\cfrac{1}{6}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{66L}}{6L+66=11L}\implies 66=5L \\\\\\ \cfrac{66}{5}=L\implies 13\frac{1}{5}=L\impliedby \textit{13 hours and 12 minutes}


and you can round that up as needed.

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Step-by-step explanation:

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First, distribute the (1/2) into (4x+12) by multiplying them.

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Hope this helped, if not i can do the problem again :)!

3 0
3 years ago
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