Answer:
Option a)
Step-by-step explanation:
To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.
![\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Cto%5C%5C2%7D%5Cfrac%7Bx%5E3%7D%7B%28x-2%29%5E4%7D%20%5C%5C%5C%5C%5C%5Clim_%7Bx%5Cto%5C%5C2%7D%5Cfrac%7B2%5E3%7D%7B%282-2%29%5E4%7D%5C%5C%5C%5C%5Clim_%7Bx%5Cto%5C%5C2%7D%5Cfrac%7B2%5E3%7D%7B%280%29%5E4%7D%20%3D%20%5Cinfty)
Then. x = 2 it's a vertical asintota.
To obtain the horizontal asymptote of the function take the following limit:
![\lim_{x \to \infty}\frac{x^3}{(x-2)^4}](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%5Cfrac%7Bx%5E3%7D%7B%28x-2%29%5E4%7D)
if
then y = b is horizontal asymptote
Then:
![\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%5Cfrac%7Bx%5E3%7D%7B%28x-2%29%5E4%7D%20%5C%5C%5C%5C%5C%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%5Cfrac%7B1%7D%7B%28%5Cinfty%29%7D%20%3D%200)
Therefore y = 0 is a horizontal asymptote of f(x).
Then the correct answer is the option a) x = 2, y = 0
The answer is B because you multiply 14 days (2 weeks) to 5 which is 70 then you add the other 22cm and that's how you would end up with 92cm
By the converse of the Pythagorean Theorem, if 8.6 ^2 = 8.1 ^2 + 2.6 ^2 , then the triangle is right. 73.96 is not equal to 72.37 so the triangle is not a right triangle.
8.6^2 is greater than (8.1^2 + 2.6^2) which means that the triangle is obtuse.
The obtuse angle is opposite the 8.6 side.
Answer:
Critical value is -1.98.
Step-by-step explanation:
Given:
The value of alpha is, ![\alpha=0.024](https://tex.z-dn.net/?f=%5Calpha%3D0.024)
Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.
The probability of critical value is given as:
![P(critical)=1-\alpha=1-0.024=0.976](https://tex.z-dn.net/?f=P%28critical%29%3D1-%5Calpha%3D1-0.024%3D0.976)
So, from the z-score table, the value of z-score for probability 0.976 is 1.98.
Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.
So, the z-score for critical value 0.024 in a left tailed test is -1.98.
September 19 , 2018 is the answer