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puteri [66]
2 years ago
13

Show all work to identify the asymptotes and end behavior of the function f(x)= 5x/x-25.

Mathematics
1 answer:
jeyben [28]2 years ago
3 0

Considering the given function and the asymptote concept, we have that:

  • The vertical asymptote is of x = 25.
  • The horizontal asymptote is of y = 5.
  • The end behavior is that as x \rightarrow \infty, f(x) \rightarrow 5.

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. Hence it also gives the end behavior of the function.

In this problem, the function is:

f(x) = \frac{5x}{x - 25}.

The vertical asymptote is found as follows:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5.

Hence the end behavior is that as x \rightarrow \infty, f(x) \rightarrow 5.

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

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Taya2010 [7]

Answer:

12 ....10....11....13 THATS THE CORRECT ORDER

Step-by-step explanation:


7 0
3 years ago
Dyna has ran 3 km of her race. If she is 65% of the way done. how long is the race altogether? Round to the nearest tenth.
Eddi Din [679]

Lets say the race is x km long.

That means she ran 65% of x.

And that also means that 65% of x = 3

So 65%*x=3

65/100x=3

x=3*100/65

x=300/65

x=4.62

6 0
3 years ago
SOMEONE PLEASE PLEASE HELP I NEED THE ANSWERS YO BOTH PF THESE PLEASE
ella [17]

Answer:

1. c; 2. d

Step-by-step explanation:

1. 2*3 = 6

2. (1.43*1000)p + (2.2*1000) = (-4.001*1000)

8 0
2 years ago
I am so confused plz no spam answers or I will report them and there are not any answer choices
GalinKa [24]
This problem is a multi step problem. All you have to do is break it down into parts to make it easier. We can start by finding the diameter of the inner circle. 

1. circumference = πd   (Since the circumference is given as 44, and we know to use 22/7 for π, divide 44 by 22/7 to get d.) 
         44 / 22/7 = about 14.0 when rounded

2. Now add +8 to the 14 since we know that there are 4 ft. on both sides of the small inner circle. 
         14 + 8 = 22

3) The last step gave us the diameter of the bigger outer circle. Now, we have to plug in the 22 for d in the formula for circumference to find the circumference of the outer circle. 
         c = πd  →  c = 22 * 22/7 = 484/7 (484/7 = about 69 when rounded as a decimal)

4) The last step now is to subtract the circumferences, since the problem was asking for how much greater the outer circle's circumference is than the inner circle. 
       69 - 44 = 25

Your answer should be about 25 ft.

********** Note the answer they are looking for may be slightly different depending on whether they were looking for a fraction or decimal answer and where they rounded. ********************************************************



6 0
3 years ago
A typical construction worker makes $120 in eight hour work day in Arizona. How much do they make per hour?
son4ous [18]

Answer:

$15

Step-by-step explanation:

Simply divide 120 by 8 to get your answer.

6 0
3 years ago
Read 2 more answers
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