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grandymaker [24]
3 years ago
11

I need to know what y is equal to. 3/4 = 5/6 + y

Mathematics
2 answers:
irina1246 [14]3 years ago
7 0
Well let’s make it a decimal.

.75 = .84 + Y

So if .84 is more than .75 then subtract
.75 from .84 and you have your answer then convert to fraction
Hoochie [10]3 years ago
7 0

Answer:

y=-1/12

Step-by-step explanation:

3/4 = 5/6 + y

y=3/4 - 5/6

y= 9-10/12

y=-1/12

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Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?
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\frac{1}{x} +\frac{1}{y} = 5\\\\x^{-1}+y^{-1}=5\\

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}
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