Inverse of t = (120r)/(r+120)

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08-01-2021
Mathematics

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Inverse of t = (120r)/(r+120)

Sagot :

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Sqdancefanidn Sqdancefanidn · Answer 1 · 2021-01-09T18:59:17-05:00

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Answer:

r = 120t/(120 -t)

Step-by-step explanation:

Given t = f(r), solve for r.

[tex]t(r+120)=120r \qquad\text{multiply by $r+120$}\\\\rt+120t=120r \qquad\text{eliminate parentheses}\\\\rt-120r=-120t \qquad\text{subtract $120t+120r$}\\\\r(t-120)=-120t \qquad\text{factor}\\\\r=\dfrac{-120t}{t-120} \qquad\text{divide by $t-120$}\\\\\boxed{r=\dfrac{120t}{120-t}} \qquad\text{negate numerator and denominator}[/tex]

Sagot :

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