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Rainbow [258]
3 years ago
12

√x + x+13 =? domain

Mathematics
1 answer:
hram777 [196]3 years ago
7 0

\sqrt{x}+x+13}\\\\\sqrt{x}\ exist\ for\ x\geq0.\\\\Therefore\ the\ domain:\\\\x\geq0\to x\in\mathbb{R^+}\cup\{0\}\to x\in\left[0,\ \infty\right)

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Paul and Matt will take
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EXPLANATION

First, calculate Paul's rate, which is

= \frac{1}{18}

Next, calculate Matt's rate, which is,
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Let us assume that, Paul and Matt took
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Then, the rate of working together is,

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Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

\frac{1}{18} + \frac{1}{22} = \frac{1}{x}

Simplify the left hand side

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We reciprocate both sides to get (You could have also done cross multiplication).

\frac{198}{20} = \frac{x}{1}

x = 9.9 \: hours
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