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scoray [572]
3 years ago
7

HELP WITH THIS QUESTION??

Mathematics
1 answer:
NikAS [45]3 years ago
7 0

Answer:

Step-by-step explanation:

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What is the difference? StartFraction x Over x squared minus 16 EndFraction minus StartFraction 3 Over x minus 4 EndFraction Sta
katovenus [111]

Answer:

The option "StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction" is correct

That is \frac{-2(x+6)}{(x+4)(x-4)}

Therefore \frac{x}{x^2-16}-\frac{3}{x-4}=\frac{-2(x+6)}{(x+4)(x-4)}

Step-by-step explanation:

Given problem is StartFraction x Over x squared minus 16 EndFraction minus StartFraction 3 Over x minus 4 EndFraction

It can be written as below :

\frac{x}{x^2-16}-\frac{3}{x-4}

To solve the given expression

\frac{x}{x^2-16}-\frac{3}{x-4}

=\frac{x}{x^2-4^2}-\frac{3}{x-4}

=\frac{x}{(x+4)(x-4)}-\frac{3}{x-4}  ( using the property a^2-b^2=(a+b)(a-b) )

=\frac{x-3(x+4)}{(x+4)(x-4)}

=\frac{x-3x-12}{(x+4)(x-4)} ( by using distributive property )

=\frac{-2x-12}{(x+4)(x-4)}

=\frac{-2(x+6)}{(x+4)(x-4)}

\frac{x}{x^2-16}-\frac{3}{x-4}=\frac{-2(x+6)}{(x+4)(x-4)}

Therefore \frac{x}{x^2-16}-\frac{3}{x-4}=\frac{-2(x+6)}{(x+4)(x-4)}

Therefore the option "StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction" is correct

That is \frac{-2(x+6)}{(x+4)(x-4)}

5 0
3 years ago
Read 2 more answers
Predict the change in the graph from f(x) to g(x). Then graph both lines to check your prediction.
Y_Kistochka [10]
Photo has everything you need

4 0
2 years ago
Find the slope of the line that passes through<br> (10, 1) and (5,2)
Brilliant_brown [7]

Answer:

-5

Step-by-step explanation:

2 - 1 = 1

5 - 10 = -5

-5 divided by 1 = -5

4 0
3 years ago
Find the slope of the lines joining each of the following pair of points.<br> (1,7) and (4,2)
Damm [24]

Answer:

-5/3

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

  = ( 2-7)/(4-1)

  -5/3

8 0
3 years ago
Juliana made one container of berry punch and served it to her friends at a picnic. The container served 8 people. What would be
LiRa [457]

Answer:64 ounces

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average is 8 ounces per serving

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