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mash [69]
3 years ago
7

Reduce the fraction: x-y/x^2-1 times x-1/x^2-y^2

Mathematics
2 answers:
Dominik [7]3 years ago
8 0

Answer:

l

Step-by-step explanation:

erik [133]3 years ago
7 0

Answer: \frac{1}{(x+1)(x+y)}

Step-by-step explanation:

Given the expression:

(\frac{x-y}{x^2-1})(\frac{x-1}{x^2-y^2})

The first step is to multiply the numerator of the first fraction by the numerator of the second fraction and the denominator of the first fraction by the denominator of the second fraction. Then:

=\frac{(x-y)(x-1)}{(x^2-1)(x^2-y^2)}

Since (x^2-1) and (x^2-y^2) are perfect squares, you can factorize them in the form:

a^2-b^2=(a+b)(a-b)

Then:

=\frac{(x-y)(x-1)}{(x+1)(x-1)(x+y)(x-y)}

Simplifying, you get:

=\frac{1}{(x+1)(x+y)}

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3 years ago
The city manager made a scatter plot of the number of retail stores in a
emmainna [20.7K]

Answer:

There were 89 retail stores in 1997.

Step-by-step explanation:

You know:

y =  11*x + 12

where y is the total number of stores and x is the number of years after 1990.

Being this a linear function (Linear functions are those functions that have the form y = mx + b as it happens in this case), to know the total number of stores and, then you must know the value of x, that is, the number of years after 1990, and replace that value in the given function.

To find out how many retail stores there were in 1997, then since 1990 7 years have passed, calculated by subtracting: 1997 - 1990 = 7

So, 7 is the number of years after 1990, then x=7

Replacing in the function y=11*x + 12 you get:

y=11*7+12

Solving:

y=77+12

y=89

<u><em>There were 89 retail stores in 1997.</em></u>

<u><em></em></u>

6 0
4 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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Answer:

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Factor out -4y^2 from the expression

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