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3 years ago

Given ƒ(x) = −10x + 45, find x when ƒ(x) = 15.

Mathematics

1 answer:

Temka [501]3 years ago

5 0

Answer:

x = 3

Step-by-step explanation:

Given

f(x) = - 10x + 45 and f(x) = 15, then equating gives

- 10x + 45 = 15 ( subtract 45 from both sides )

- 10x = - 30 ( divide both sides by - 10 )

x = 3

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$\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{\underline{N} is inversely proportional to \underline{A}}\qquad N=\cfrac{k}{A}
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\begin{cases}
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\end{cases}\implies 16=\cfrac{k}{3}\implies 16\cdot 3=k
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