Using it's concepts, it is found that for the function
:
- The vertical asymptote of the function is x = 25.
- The horizontal asymptote is y = 5. Hence the end behavior is that
when
.
<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. They also give the end behavior of a function.
In this problem, the function is:
![f(x) = \frac{5x}{x - 25}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B5x%7D%7Bx%20-%2025%7D)
For the vertical asymptote, it is given by:
x - 25 = 0 -> x = 25.
The horizontal asymptote is given by:
![y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = 5](https://tex.z-dn.net/?f=y%20%3D%20%5Clim_%7Bx%20%5Crightarrow%20%5Cinfty%7D%20f%28x%29%20%3D%20%5Clim_%7Bx%20%5Crightarrow%20%5Cinfty%7D%20%5Cfrac%7B5x%7D%7Bx%20-%2025%7D%20%3D%20%5Clim_%7Bx%20%5Crightarrow%20%5Cinfty%7D%20%5Cfrac%7B5x%7D%7Bx%7D%20%3D%205)
More can be learned about asymptotes at brainly.com/question/16948935
#SPJ1
<u>To find the constant of proportionality:</u>
⇒ must define constant of proportionality
⇒ <em>Constant of Proportionality: ratio of two proportional values at a </em>
constant value
⇒ (in this case) two proportional values are x and y
<u>The ratio between x and y is equal to</u>
![\frac{y}{x} =\frac{66}{1.2}=55](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%20%3D%5Cfrac%7B66%7D%7B1.2%7D%3D55)
<u>Answer:</u> <u>55</u> or <u>Choice 1</u>
<u></u>
Hope that helps!
Answer:
thank you for the points
Step-by-step explanation:
fr
1. expand using place value.
337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0
Next, we will use exponents:
300,000 = 3 * 10^5
30,000 = 3 * 10^4
7,000 = 7 * 10^3
000 = 0 * 10^2
60 = 6 * 10
0 = 0 * 10^0
then after combing these exponents, we can write the number as:
337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 0 * 10^2 + 6 * 10 + 0 * 10^0
Finally, removing the meaningless zeroes, we would end up with:
337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 6 * 10
Answer:A
Step-by-step explanation: In exponents,
a
1
m
=
m
√
a
Hence
x
1
2
=
2
√
x