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polet [3.4K]
3 years ago
14

Jennys lawn is 1/3 of an acre. after mowing 1/2 of the lawn, how much of an acre has she mowed

Mathematics
1 answer:
Nostrana [21]3 years ago
8 0
Jenny has mowed 1/6 of her lawn
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Which pair of expressions represents inverse functions
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Answer: C. \dfrac{x+3}{4x-2} and \dfrac{2x+3}{4x-1}


Step-by-step explanation: if a function f(x) has g(x) as its inverse then it satisfies fog(x)=x and gof(x)=x

C. f(x)=\dfrac{x+3}{4x-2} and g(x)=\dfrac{2x+3}{4x-1}

   fog(x)=f(\dfrac{2x+3}{4x-1})

              =\dfrac{\dfrac{2x+3}{4x-1}+3 }{\dfrac{4(2x+3)}{4x-1}-2 }

               =x

   gof(x)=g(\dfrac{x+3}{4x-2})

              =\dfrac{\dfrac{2(x+3)}{4x-2} +3}{\dfrac{4(x+3)}{4x-2}-1 }

               =x

hence C. is the pair of inverse functions


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Given the function f(x) = 4x - 2, explain and show how to find the average rate of change between x = 2 and x = 4.
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Answer:

The average rate of change between x = 2 and x = 4 is of 4.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b)-f(a)}{b-a}

In this question:

f(x) = 4x - 2, b = 4, a = 2

Thus:

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Average rate of change:

A = \frac{f(b)-f(a)}{b-a}

A = \frac{14-6}{4-2}

A = \frac{8}{2}

A = 4

The average rate of change between x = 2 and x = 4 is of 4.

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Answer:

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Step-by-step explanation:

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