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Anna [14]
3 years ago
6

NEED HELP PLEASE ASAP! please only answer if your actually going to help :(

Mathematics
1 answer:
vlabodo [156]3 years ago
5 0

Answer:a = -5 and b = -7

Step-by-step explanation:

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The marginal price per pound (in dollars) at which a coffee store is willing to supply x pounds of Jamaican Blue Mountain coffee
il63 [147K]

Answer:

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

Step-by-step explanation:

We are given the following information in the question:

The marginal price per pound (in dollars) is given by:

p'(x) = \displaystyle\frac{208}{(x+7)^2}

where x is the supply in pounds.

P(x) = \displaystyle\int p'(x)~dx =\displaystyle\int\displaystyle\frac{208}{(x+7)^2}~dx\\\\P(x) = \frac{-208}{(x+7)} + c\\\\\text{where c is the constant of integration.}

The coffee shop is willing to supply 9 pounds per week at a price of $7 per pound.

Thus, we are given that

P(9) = 7

Putting the values, we get,

P(x) = \displaystyle\frac{-208}{(x+7)} + c\\\\P(9) = 7\\\\\displaystyle\frac{-208}{(9+7)} + c = 7\\\\c = 7 + \frac{208}{16} = 20

P(x) = \displaystyle\frac{-208}{(x+7)} + 20

Now, we have to find how many pounds it would be willing to supply at a price of $4 per pound.

P(x) = 4

P(x) = \displaystyle\frac{-208}{(x+7)} + 20 = 4\\\\\frac{-208}{x+7} = -16\\\\x + 7 = 13\\x = 6

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

3 0
3 years ago
What is x when 2(x+3)=x-4
denpristay [2]

Answer:

x=-10

Step-by-step explanation:

First, use distribution to simplify

2(x+3)=x-4\\2x+6=x-4

Then, simplify further by combining like terms

2x+6=x-4\\2x+10=x\\10=-1x

Solve

10=-1x\\x=-10\\

8 0
2 years ago
Can someone help please
Phoenix [80]

9514 1404 393

Answer:

  16x +8h

Step-by-step explanation:

Use the given function arguments and simplify.

  \dfrac{f(x+h)-f(x)}{h}=\dfrac{8(x+h)^2-8x^2}{h}=\dfrac{8(x^2+2hx+h^2)-8x^2}{h}\\\\=\dfrac{8x^2 +16xh+8h^2-8x^2}{h}=\dfrac{16xh+8h^2}{h}=\boxed{16x +8h}

7 0
3 years ago
The price of a
RideAnS [48]

Answer:

$31.5

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
In a bag of trail mix, there are 5 cups of nuts for every 2 cups of chocolate candies. If there are 12 cups of nuts in a bag of
Katyanochek1 [597]

Answer:

5

Step-by-step explanation:

7 0
2 years ago
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