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amm1812
3 years ago
9

Determine the average rate of change from 0 to 4 for the function f(x)=2^x-3

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0
If the question meant f(x)=2^(x) -3 then the answer should be 1 over 4 or 1/4
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A parallelogram has an area of 300 square kilometers and a height of 20 kilometers. What is the length of the base?
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Answer: the length of the base is 15 kilometers.

Step-by-step explanation:

formula : Area of parrallelogram  = Length of base x height

Given: Area of parallelogram = 300 square kilometers

height = 20 kilometers

Substituting values in the formula , we get

300 = Length of base x 20

Length of base  = \frac{300}{20}

= 15 kilometers

Hence, the length of the base is 15 kilometers.

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The length of a rectangle is 4 centimeters more than twice its width of the perimeter of the rectangle is 86centimeters find the
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Answer:

Width= 13 cm

length=30cm

Step-by-step explanation:

Let the length of the rectangle be 'L'

And the width of the rectangle be 'W'

Perimeter= 86 cm

According to the statement:

        Length= 2*Width+4\\L=2W+4

Perimeter of a rectangle= 2(Length+Width)

86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm

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3 years ago
Y=-4x-41 that passes through (-2,7)
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Answer:

Parallel: y=-4x-1

Perpendicular: y=-4x+13/2

Step-by-step explanation:

For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:

  • If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-7)=-4(x--2)


y-7=-4x-8


y=-4x-1

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(y-7)=1/4(x--2)


y-7=1/4x-1/2


y=-4x+13/2


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