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2 years ago

Variables x and y are directly proportional and y=2 when x=3. What is the y when x = 9

Mathematics

1 answer:

Bingel [31]2 years ago

4 0

Y should equal 6 because you multiplied the 3 by 3 to get 9 so you have to multiply 2 by 3 to get 6

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Answer:

Step-by-step explanation:

If the pieces were similar, the scale factor would be 16 / 8 = 2 so therefore, b = 5 * 2 = 10.

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2 years ago

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Help me please. Solve this equation with the steps. -5•10^x=-31. Thank you

Sonbull [250]

Answer:

$x=0.79$

Step-by-step explanation:

we have

$-5(10^{x})=-31$

step 1

Divide by -5 both sides

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step 2

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step 3

Applying Property of logarithms

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2 years ago

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3 years ago

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IgorC [24]

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Step-by-step explanation:

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3 years ago

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How to find the derivative of x + y2 = ln(x/y) ? please show all workings and simplify!

qwelly [4]

Answer:

Step-by-step explanation:

If your function is

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$x+y^2=ln(x)-ln(y)$

Take the derivative of x terms like "normal", but taking the derivative of y with respect to x has to be offset by dy/dx. Doing that gives you:

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Collect the terms with dy/dx on one side and everything else on the other side:

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

Now factor out the common dy/dx term, leaving this:

$\frac{dy}{dx}(2y+\frac{1}{y})=\frac{1}{x}-1$ Now divide on the left to get dy/dx alone:

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

Simplify each set of fractions to get:

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

Bring the lower fraction up next to the top one and flip it upside down to multiply:

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Simplifying that gives you the final result:

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