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zaharov [31]
3 years ago
11

Sketch the asymptotes and graph the function y=6/(x-2)+4

Mathematics
2 answers:
lana [24]3 years ago
6 0
There will be a vertical asymptote when the denominator approaches zero. So the vertical asymptote is about the line x=2.

There will be a horizontal asymptote as x approaches ±oo where the y value will approach 4.  So the horizontal asymptote is about the line y=4
lorasvet [3.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

We have to sketch the asymptotes of the given function y = 6/(x -2) + 4

1) For horizontal asymptotes

In the given function y = 6/(x -2) is in the form of y = \frac{6x^{0} }{(x^{1}-2)}

Degree of x in numerator is lower than denominator therefore horizontal asymptote is y = 0

Since y = 6/(x -2) is shifted 4 upwards so horizontal asymptote for the shifted function will be y = 0+4 = 4

2) For vertical asymptotes

We will put the denominator of the function equal to the zero.

(x - 2) = 0

x = 2 is the vertical asymptote.

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Answer:

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Step-by-step explanation:

The given expression is;

(\frac{a^3+a^2b}{5a})(\frac{25}{3b+3a} )

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(\frac{a^2(a+b)}{5a})(\frac{25}{3(b+a)} )

Cancel out the common factors;

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Simplify;

\frac{5a}{3}

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spayn [35]
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     Given Time = 3 hours 40 minutes = 220 minutes   = (220/60) h = (11/3) h                      Time = Distance/Speed
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Masja [62]

Given the number of the people attending the football game, the percentage supporters for the home team is 37%.

<h3>What is Percentage?</h3>

Percentage is simply number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given the data in the question;

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For we determine the total number of people attending the football game;

nT = nH + nV

nT = 1369 + 2331

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PH = ( nH/ nT) × 100%

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PH = 37%

Therefore, given the number of the people attending the football game, the percentage supporters for the home team is 37%.

Learn more about Percentages here: brainly.com/question/24159063

#SPJ1

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