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ladessa [460]
3 years ago
10

John worked "x" hours this week and Shanique worked eight hours less than John. Write an algebraic expression for the number of

hours that Shanique worked this week.
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Answer:

X>8

Step-by-step explanation:

X>8

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Answer:

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Step-by-step explanation:

given

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using the property of log \log_ab=\frac{log_cb}{log_ca}, and if c =e,\log_ab=\frac{ln{b}}{ln{a}}, we can rewrite our function as:

y = \dfrac{\ln{\left (x^{2} + 6 x \right )}}{\ln{\left (10 \right )}}

now we can easily differentiate:

\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{d}{dx}(\ln{(x^{2} + 6x)})\right)

\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{2x+6}{x^{2} + 6x}\right)

\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}

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