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Vera_Pavlovna [14]
3 years ago
9

What is the unit rate for one fourth cup of 2/3 serving?

Mathematics
1 answer:
ad-work [718]3 years ago
6 0
2/3 serving = 1/4 cup
1 serving = 1/4 / 2/3 = 3/8 cup

Therefore, the unit rate is 3/8 cup per serving.
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Please help! I will mark as brainliest IF answer is right. &lt;3
lana66690 [7]
<h2>Answer:</h2><h2></h2>

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Please find the derivative of <img src="https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Be%5E%7B%5Cfrac%7B3%7D%7Bx%7D%7D%7D%7
sesenic [268]

Hello! :)

\large\boxed{\frac{-e^{\frac{3}{x}}  (3 + 2x )}{x^{4}}}

Find the derivative using the quotient rule:

\frac{f(x)}{g(x)} = \frac{g(x) * f'(x) - f(x) * g'(x)}{(g(x))^{2}}

In this instance:

f(x) = e^{\frac{3}{x} }\\\\g(x) = x^{2}

Use the following properties to find the derivative of f(x) and g(x):

e^{u} = u' * e^{u}\\\\x^{n} = nx^{n-1}

Use the quotient rule:

\frac{x^{2} * (e^{\frac{3}{x}} * (-3x^{-2})) - e^{\frac{3}{x}} * 2x  }{(x^{2} )^{2}}

Simplify the numerator:

\frac{(e^{\frac{3}{x}} * (-3)) - e^{\frac{3}{x}} * 2x  }{(x^{2} )^{2}}

Factor out e^{\frac{3}{x}}

\frac{e^{\frac{3}{x}}  (-3 - 2x )}{x^{4}}

Factor out -1 from the numerator:

\frac{-e^{\frac{3}{x}}  (3 + 2x )}{x^{4}}

And we're done! Thanks for posting the question to my 1000th answer!

7 0
3 years ago
Read 2 more answers
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