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MakcuM [25]
4 years ago
12

Solve these equations. Show solutions on a number line. |x+26| = -5 (2 answers)

Mathematics
1 answer:
Evgen [1.6K]4 years ago
4 0

Answer:

Step-by-step explanation:

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Which of the following is the graph of the rational function? y=x^2+2x-8/x^2-9
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Notice that we can simplify both numerator and denominator of our rational function. In the numerator we have a quadratic expression of the form ax^2+bx+c. To to simplify it, we are going to find tow numbers that add to 2 and multiply to -8; those numbers are 4 and -2.
x^2+2x-8=(x+4)(x-2)
In the denominator we have a difference of squares:
x^2-9=x^2-3^2=(x+3)(x-3)

Now we can rewrite our function:
y= \frac{x^2+2x-8}{x^2-9} = \frac{(x+4)(x-2)}{(x+3)(x-3)}

From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at x=3 and x-3

We can conclude that the graphic of our rational function is: 

7 0
3 years ago
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