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natima [27]
3 years ago
13

A cab company charges $2 per cab ride, plus an additional $3 per mile driven. How long is a cab ride that costs $47? Write and s

olve an equation to find the answer.
Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0

Answer:15 miles

Step-by-step explanation:

Subtract 2 from 47 because each ride is $2 then divide 3 from 45 to get 15 miles $3 per mile to check you could multiply to 15 to get 45.

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
wlad13 [49]

Answer:

\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

f(x)=\frac{u(x)}{v(x)}\\, the derivative is express as

\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }

from y=lnx/x^{2}

we assign u(x)=lnx and v(x)=x^2

and the derivatives

\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\.

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e y=lnx\\\frac{dy}{dx}=\frac{1}{x}

If we substitute values into the quotient expression we arrive at

\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}

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3 years ago
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tester [92]

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anygoal [31]

Answer:

2 ; 10

Step-by-step explanation:

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(12 - B) - B = 8

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Answer:

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The base of triangle A is half of the base of triangle B so it is 4 cm.

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