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Dvinal [7]
2 years ago
9

How can you tell from the equation of a rational function if the function has a hole in the graph ( a removable discontinuity) a

t x, rather than a vertical asymptote? Give an example​
Mathematics
1 answer:
Eva8 [605]2 years ago
5 0

Consider that,

x^2+4x+4 = (x+2)(x+2)

x^2+7x+10 = (x+2)(x+5)

Dividing those expressions leads to

(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)

The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.

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Andreyy89

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6 0
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Andreas93 [3]

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4 0
3 years ago
Read 2 more answers
7/30+9/20 what is the answer pls hurry im so confused
Svetradugi [14.3K]

Here is your answer:

  • \frac{7}{30} + \frac{9}{20}
  • Find common denominator:
  • 30 \times 20 = 60 /20 \times 30 = 60
  • Common denominator is 60:
  • \frac{7}{30} + \frac{9}{20} = \frac{140}{60} + \frac{270}{60}
  • 140 + 270 = 410
  • = \frac{410}{60}
  • \frac{410}{60} \div 2 = \frac{205}{30} \div 5 = \frac{41}{6}
  • = \frac{41}{6} or 6\frac{5}{6}

Hope this helps!

8 0
2 years ago
Can someone help me I’m stuck on this question
Luba_88 [7]
Multiply the 2 numbers by how long she spoke
4 0
3 years ago
Please do this correct if inappropriate then report and no LINKS and also will do brainly
Nuetrik [128]
Mean=87.5
Median=88
Mode=79,85,86,90,92,93 so technically all the numbers show are the mode cause they all repeat 1 time but if there were two of the same number that would be the mode cause there’s two and not one so you always go by which one repeats more!
4 0
2 years ago
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