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2 years ago

Simplify completely ((x2-4x+4)/(x2+10x+25)) x ((x+5)/(x2+3x-10)) ...?

1 answer:

3 0

First of all you'll have to
Factor x^2-4x+4 = (x-2)^2
Factor x^2+10x+25 = (x+5)^2
Factor x^2+3x-10 = (x+5)(x-2)

So you'll have (x-2)^2/(x+5)^2 X (x+5)/(x+5)(x-2)
Then cancel the (x-2) and (x+5) on both sides

Thus getting the answer of x-2/(x+5)^2
or x-2/x+10+25

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If f (x) = x and g(x) = 3x + 1 are two real functions. Find (f + g) (x)

romanna [79]

Answer:

4x + 1

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= x + 3x + 1 ← collect like terms

= 4x + 1

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3 years ago

Show what you know: work out the problems below and submit a photo of your work to receive full credit.

Alexxandr [17]

The model for representing the ratio of the number of orange and green rolls are $\dfrac{3}{2}$ .

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G

<h3>What is ratio?</h3>

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.

A model that represents the ratio of different colored streamers.

$\dfrac{O}{G}=\dfrac{3}{2}$

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.

D=3O and D=2G

3O=2G

Hence the models are $\dfrac{O}{G}=\dfrac{3}{2}$ and 3O=2G.

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1 year ago

Determine the slopes of the following equation using their intercepts

Olin [163]

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Step-by-step explanation:

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2 years ago

Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. How many gallons can Joe's tank hold?

Korolek [52]

Answer:

Amount of gas that can be hold by Joe's tank = 16 gallons.

Step-by-step explanation:

Given that Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. Now we need to find about how many gallons can Joe's tank hold.

So let's find change that happened after filling the gas.

Change = (5/8 full) - (1/4 full)

Change = (5/8 - 1/4) full

Change = (5/8 - 2/8) full

Change = (5 - 2)/8 full

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So that means 3/8 full happens in 6 gallons

then 1 full will happen in 6/(3/8) gallons = 6*(8/3) gallons = 48/3 gallons = 16 gallons

So the amount of gas that can be hold by Joe's tank = 16 gallons.

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3 years ago

In a class if 20 students, 60% are girls. How many Students are girls?

seropon [69]

12 students are girls and 8 are boys.

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3 years ago