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MA_775_DIABLO [31]
3 years ago
14

I need help with this

Mathematics
1 answer:
andre [41]3 years ago
8 0

Answer:

  f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}

Step-by-step explanation:

Each vertical asymptote corresponds to a zero in the denominator. When the function does not change sign from one side of the asymptote to the other, the factor has even degree. The vertical asymptote at x=-4 corresponds to a denominator factor of (x+4). The one at x=2 corresponds to a denominator factor of (x-2)², because the function does not change sign there.

__

Each zero corresponds to a numerator factor that is zero at that point. Again, if the sign doesn't change either side of that zero, then the factor has even multiplicity. The zero at x=1 corresponds to a numerator factor of (x-1)².

__

Each "hole" in the function corresponds to numerator and denominator factors that are equal and both zero at that point. The hole at x=-3 corresponds to numerator and denominator factors of (x-3).

__

Taken altogether, these factors give us the function ...

  \boxed{f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}}

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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.

To know more about Ratios follow

brainly.com/question/4931057

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6 0
1 year ago
What is 90 divided by 12???? <br> pls help i need to get my grades up
Andrew [12]

Answer:

7.5

Step-by-step explanation:

cant u just  g oogle it?

5 0
2 years ago
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Write each number as a product of the GCF and another sum. Then use the Distributive Property to rewrite the sum. 45 + 30 = (15
Lorico [155]

Answer:

x=5/2

Step-by-step explanation:

Calculate, rewrite, remove the paretheses

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3 0
3 years ago
Can the side lengths of 8, 9, and 12 form a triangle?
Rama09 [41]

Answer:

No

Step-by-step explanation:

The formula you could do to check would be 8^2+9^2=12^2.

In this instance, 8^2 + 9^2 = 145 but 12^2 equals 144

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Plsssssssss Help!!!!!!
Paraphin [41]

Answer:

16

Step-by-step explanation:

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m wrong this is just how I was taught )

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2 years ago
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