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stich3 [128]
3 years ago
14

Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction?

Mathematics
2 answers:
morpeh [17]3 years ago
8 0

Answer:

B. The graph approaches 0 as x approaches infinity.

Step-by-step explanation:

Daniel [21]3 years ago
3 0

Answer:

  • <u><em>Second option: the graph approaches 0 as x approaches infinity.</em></u>

Explanation:

The function f(x) is:

f(x)=\frac{2x}{1-x^2}

  • When x approach infinity the term x² grows rapidly (more rapid than x), thus 1 - x², which is in the denominator will decrease, become a large negative more rapid than the x in the numerator. Thus you can expect that the function approaches zero.

To prove that in a more analytical way, divide both numerator and denominator by x and simplifiy:

\lim_{x \to \infty} \frac{2x}{1-x^2}\\\\  \lim_{x \to \infty} \frac{2x/x}{(1-x^2)/x}\\\\  \lim_{x \to \infty} \frac{2}{1/x-x}\\\\\lim_{x \to \infty} \frac{2}{0-x}\\  \\ \lim_{x \to \infty} \frac{2}{-x}\\  \\ \lim_{x \to \infty} -\frac{2}{x}=0

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Mai biked 6\frac{3}{4} miles today, and Noah biked 4\frac{1}{2} miles.
Alinara [238K]

It was 1.5 times the length of Noah's bike ride as Mai’s bike ride.

The problem we dealing with is related to mixed numbers which are referred to as mixed numbers and could be the whole number, and a proper division spoke together. It for the most part speaks to a number between any two whole numbers.

Since we are providing mai's rate which is  6 3/4  miles and Noah's  rate of 4 1/2 miles, So in  order to find the time the length of Noah's ride is compared to Mal's, we just need to divide the given rates by each other

=> 6 3/4 divided by 4 1/2,  

=> 27/4 divided by 9/2, (The result is an improper fractions)

=> 27/4 X 2/9

=>3/2

=> 1.5

To know more about mixed numbers refer to the link  brainly.com/question/24137171?referrer=searchResults.

#SPJ1

3 0
1 year ago
0.2x+2.7x−8.1=6.9+1.1x<br> plz help<br> 25 points on the line
ololo11 [35]

Answer:

Step-by-step explanation:

0.2x + 2.7x - 8.1 = 6.9 + 1.1x

0.2x + 2.7x - 1.1x = 6.9 + 8.1

1.8x = 15

x = 15/1.8

x = 8.33

6 0
3 years ago
5 men take 45hours to build a wall.how long will it take 9men working at the same wall?​
Karolina [17]

Answer:

<u>25 hours</u>

Step-by-step explanation:

It takes 5 men 45 hours to build a wall.

So, if no. of men increases by 1.8 [∴ 5 x 1.8 = 9],

then time taken reduces by that same amount.

=> 45 hours / 1.8

=> 45 / (9/5)

=> 45 x 5 / 9

=> 5 x 5

=> <u>25 hours</u>

7 0
2 years ago
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Tema [17]
If the number on the right of the number you're trying to round is greater than 5, round it up. If the number on the right of the number you're trying to round is less than 5, round down.
So you're trying to round to the nearest whole number, look on the number on the right, it's bigger than 5, it's a 7. Therefore, round the whole number up so it would be 7.
7 0
3 years ago
Read 2 more answers
A mural inspired by photo graph measures 107 inches by 180 inches.the scale factor is 12.what are the dimensions of the photogra
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5 0
3 years ago
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