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densk [106]
2 years ago
9

Give an example of a rational function that has a horizontal asymptote of y = 2/9..

Mathematics
2 answers:
Ann [662]2 years ago
7 0
The horizontal asymptote of a rational function tells us the limiting value of that function as it approaches infinity.

For a rational function to have a horizontal asymptote of
\frac{2}{9}
then,the highest degree of x in the numerator must be equal to the highest degree of x in the denominator.

The second condition is that,
the coefficient of the highest degree in the numerator and the coefficient of the highest degree in the denominator should be in the ratio 2:9.

Example are given in the graph above.

Here are some other examples,

y = \frac{2x - 1}{9x + 2}


y = \frac{1 - 6 {x}^{3} }{5x - 27 {x}^{3} }

Monica [59]2 years ago
7 0
The answer to your question to give an example of a rational function that has a horizontal asymptote of y = 2/9 is this one example: f (x) = 2x^2 + 4x + 1  / 9x^2 + x + 1. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help.  
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leon purchased a t shirt for 25.50 and a pair of pants for 35.75.he recived 3.75 from the sales clerck
Nikolay [14]
Leon paid with 65 dollars to buy the clothing, he got $3.75 in change!

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6 0
3 years ago
PICK THE CARD AT RANDOM 1 2 3 WHAT IS THE P(FACTOR OF 54)
Aliun [14]

Using it's concept, the probability that a card is a factor of 54 is given by:

P(Factor of 54) = 1.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, we have that there are 3 total outcomes, which are the cards 1, 2 and 3.

The factors of 54 are given as follows:

{1, 2, 3, 6, 9, 18, 27, 54}.

All the three cards are factors of 54, hence the probability that a card is a factor of 54 is given by:

P(Factor of 54) = 1.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

5 0
1 year ago
A horse is shown in the scale drawing the height of the horse in the drawing is 4.5 inches the scale that maps the drawing to th
sladkih [1.3K]

Answer: 6.75 feet.

Step-by-step explanation: 4.5 x 1.5

5 0
2 years ago
Read 2 more answers
please help me with this: Suppose a teacher gives 10 points for putting your name on a 100 point test. The minimum score on that
sukhopar [10]
Suppose there are n observations in a data set consisting of the observations x1, x2, x3, ..., xn.

Rounding rule: round to one more decimal place than the highest number of decimal places contained in the data.

The formula can also be represented as sigma * xi / n.

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Mu = POPULATION MEAN

n= sample size
N= POPULATION SIZE

The sum of the deviations from the mean is always equal to 0.

The mean will always be pulled towards any outliers.

Ex: the average price of similar televisions at different stores. This is quantitative data that does not have outliers since the TVs at the different stores are similar
3 0
2 years ago
A rectangular prism has a length of 4 1/2 centimeters, a width of 4 1/2 centimeters, and a height of 6 centimeters. Sally has a
n200080 [17]

Step-by-step explanation:

volume of prism = 4 1/2 × 4 1/2 × 6

= 9/2 × 9/2 × 6

= 121.5 cm³

storage container = 143 cm³

Difference = 143 - 121.5 = 21.5 cm³

5 0
2 years ago
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