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denpristay [2]
3 years ago
6

What is an equation of the line that passes through the points (-4, -2) and (8, 1)? Put your answer in fully reduced form.

Mathematics
1 answer:
Alexxx [7]3 years ago
8 0

Answer:

y=1/4x-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-(-2))/(8-(-4))

m=(1+2)/(8+4)

m=3/12

m=1/4

y-y1=m(x-x1)

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

y+2=1/4(x+4)

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

y=1/4x+1-2

y=1/4x-1

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Answer:

R'(20) = 2000

Step-by-step explanation:

We are given the following in the question:

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This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.

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This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.

We have to find R'(20)

Differentiating the above expression, we have,

R'(p) = \displaystyle\frac{d(R(p))}{dp} = \frac{d(pf(p))}{dp} = f(p) + pf'(p)

Putting the values, we get,

R'(p) = f(p) + pf'(p)\\\\R'(20) = f(20) + 20(f'(20))\\\\R'(20) = 13000 + 20(-550) = 2000

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