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Artist 52 [7]
3 years ago
11

(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?
adelina 88 [10]

Answer:

0.85 pages per minute

Step-by-step explanation:

8 1/2 ÷ 10 = 8.5 ÷ 10 = 0.85

5 0
3 years ago
Suppose that a monopolist
daser333 [38]

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

5 0
3 years ago
PLEASE ANSWER, NEW! <br><br> If someone is 17 and someone is 13 how big is the age gap?
tatuchka [14]

Answer: 4

Step-by-step explanation:

8 0
3 years ago
Pls help will give brainiest!!!
Artist 52 [7]

Answer:

ikaw mag sagut nyan tiba may utak ka? Tanga kaya mo na yan

Step-by-step explanation:

She's imperfect but she tries

She is good but she lies

She is hard on herself

She is broken and won't ask for help

She is messy but she's kind

She is lonely most of the time

She is all of this mixed up

And baked in a beautiful pie

She is gone but she used to be mine

8 0
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
ladessa [460]

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
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