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3 years ago

(3b-5)^2-c^2 how do I factor this using grouping?

Mathematics

1 answer:

klemol [59]3 years ago

3 0

So you see it is the difference of 2 perfect squares
a^2-b^2=(a+b)(a-b)
so
(3b-5)^2-c^2=(3b-5+c)(3b-5-c)

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Charlotte reads 8 1/2 pages in 10 minutes. What is her average reading rate in pages per minute?

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Answer:

0.85 pages per minute

Step-by-step explanation:

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3 years ago

Suppose that a monopolist

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Answer:

The monopolist's net profit function would be:

$N(y)=198\,y\,-\,2.5\,y^2$

Step-by-step explanation:

Recall that perfect price discrimination means that the monopolist would be able to get the maximum price that consumers are willing to pay for his products.

Therefore, if the demand curve is given by the function:

$P(y)=200-2y$

P stands for the price the consumers are willing to pay for the commodity and "y" stands for the quantity of units demanded at that price.

Then, the total income function (I) for the monopolist would be the product of the price the customers are willing to pay (that is function P) times the number of units that are sold at that price (y):

$I(y)=y*P(y)\\I(y)=y\,(200-2y)\\I(y)= 200y-2y^2$

Therefore, the net profit (N) for the monopolist would be the difference between the Income and Cost functions (Income minus Cost):

$N(y)=I(y)-C(y)\\N(y)=(200\,y-2y^2)-(2y+0.5y^2)\\N(y)=198\,y\,-\,2.5\,y^2$

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

A cliff diver jumps from a cliff that is 96 feet above the water. His jump can be modeled by a quadratic equation, h= -16t(expon

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Answer:

The diver will take 2.449 seconds to enter the water.

Step-by-step explanation:

We have been given that quadratic equation for the diver jumps is

$h=-16t^2+96$

We have to find the time taken for the diver to enter the water. When the diver enters the water, the height becomes zero.

$0=-16t^2+96\\\\16t^2=96\\\\t^2=6\\\\t=\sqrt6\\\\t=2.449\text{ seconds}$

Therefore, the diver will take 2.449 seconds to enter the water.

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3 years ago