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aivan3 [116]
2 years ago
8

Which of the following rational functions is graphed below?

Mathematics
1 answer:
Zepler [3.9K]2 years ago
3 0

Answer:

  D.  F(x) = 1/(x +5)²

Step-by-step explanation:

The vertical asymptote at x=-5 tells you that x=-5 will be a zero of the denominator. The only equation with a denominator factor of (x+5) is ...

  F(x) = 1/(x +5)²

_____

<em>Additional comment</em>

The fact that the value of F(x) does not change sign at the vertical asymptote tells you the denominator factor will be of even degree. That is taken for granted here, as all denominators are squares in the answer choices.

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K + 9 = 17<br><br> What does k value?<br> k=8<br> k=9<br> k=17 <br> k=26
belka [17]

Answer:

8

Step-by-step explanation:

k + 9 = 17

subtract 9 from both sides:

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Jen has 6 yards of fabric and wants to make a new dress and shorts she used 3 1/3 yards of the fabric on her new dress how much
kodGreya [7K]

Answer:

2\frac{2}{3}\ yards

Step-by-step explanation:

we know that

To find out how much fabric Jen has left for the shorts, subtract the yards of fabric used in her new dress from the total yards of fabric Jen has.

so

6-3\frac{1}{3}

Convert mixed number to an improper fraction

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substitute

6-3\frac{1}{3}=6-\frac{10}{3}=\frac{8}{3}\ yards

Convert to mixed number

\frac{8}{3}\ yards=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}\ yards

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3 years ago
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If x = 1 is a common root of ax² +ax + 2 = 0 and x² + x + b = 0 , then ab =
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Answer:

ab = 2

Step-by-step explanation:

Given equations

ax² +ax + 2 = 0

x² + x + b = 0

root of both the equation

x= 1

then we can plug in x = 1 in both the equation

ax² +ax + 2 = 0                        x² + x + b = 0

a*1² +a*1 + 2 = 0                        1² + 1 + b = 0

a +a + 2 = 0                                 1 + 1 + b = 0

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2a = -  2                                         b = -2

a = -2/2 = -1

Thus,

a = -1

b = -2

a*b = -1*-2 = 2

ab = 2

6 0
3 years ago
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