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3 years ago

Find the least common denominator for these two rational expressions. x²/x²+2x+1 and 5/x²+4x+3

1 answer:

5 0

Factor each denominator:

x^2 + 2x + 1 = (x+1)^2

x^2 + 4x + 3 = (x+3)(x+1)

Now take the common and non common factors with the highest exponents and multiply them.

(x+3).(x+1)^2 is the least common denominator.

If you expand that product you will get x^3 + 5x^2 + 7x +3

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У = 3х – 1 у = 3y= -13

Elina [12.6K]

Answer:

y=1/3x-1/3

Step-by-step explanation:

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3 years ago

Help me asap show work

STatiana [176]

We want to find out how much it costs for each pound of feed

For chicken feed 12 divided by 8.40

$1.43 for 1 pound of chicken feed

For goat feed 75 divided by 60

$1.25 for 1 pound of goat feed

For dog feed 50 divided by 37.50

$1.33 for 1 pound of dog feed

For pig feed 80 divided by 62.80

$1.27 for 1 pound of pig feed

When reviewing all the answers per pound for feed, chicken feed is the most expensive per pound.

Hope this helps:)

5 0

3 years ago

Joshua places the letters in the word SNOWMAN in a bag. A letter is drawn randomly and not replaced. Then another letter is sele

oksano4ka [1.4K]

Answer:

13/42

Step-by-step explanation:

1/7 + 1/6

13/42

7 0

2 years ago

A landlord owns 3 condominiums, a 1-bedroom condo, a 2-bedroom condo, and a 3-

marusya05 [52]

Answer:

I bedroom condo = $280

2 bedroom condo = $400

3 bedroom condo = $560

Step-by-step explanation:

Given that :

Total rental cost for all 3 condos = $1240

Let :

I bedroom condo = b

2 bedroom condo = c

3 bedroom condo = 2b

Hence,

b + c + 2b = 1240

3b + c = 1240 - - - (1)

REPAIR COST :

Total repair cost = $276

1 bedroom = 10% of b = 0.1b

2 bedroom = 20% of c = 0.2c

3 bedroom = 30% of 2b = 0.3 * 2b = 0.6b

Hence,

0.1b + 0.2c + 0.6b = 276

0.7b + 0.2c = 276 - - - (2)

From (2)

0.7b + 0.2c = 276

0.7b = 276 - 0.2c

b = (276 - 0.2c) / 0.7

Substitute b = (276 - 0.2c) / 0.7 into (1)

3(276/0.7 - 0.2c/0.7) + c = 1240

1182.8571 - 0.8571428c + c = 1240

1182.8571 + 0.1428571c = 1240

0.1428571c = 1240 - 1182.8571

0.1428571c = 57.1429

c = 57.1429 / 0.1428571

c = 400

3b + c = 1240

3b + 400 = 1240

3b = 1240 - 400

3b = 840

b = 840/3

b = 280

Hence,

I bedroom condo = $280

2 bedroom condo = $400

3 bedroom condo = 2(280) = $560

6 0

2 years ago

In throwing a die what is the probability of getting even or prime number

Julli [10]

die number : 1 2 3 4 5 6

probability of getting even number : 3/6

because the number 2,4,6 are even number

the number 3 is 'how many even number?'

while 6 is the total number in throwing a die

probability of getting prime number : 2/6

because the number 3,5 are only prime number

the number 2 is 'how many prime number?'

while 6 is the total number in throwing a die

the question ask : getting even OR prime number

this means that we have to add the probability of even and prime number

3/6 + 2/6 = 5/6 (answer)

5 0

3 years ago