0.14x + 25 = 0.19x
25 = 0.05x
x = 500
the costs of the two plans will be equal after 500 minutes
Answer:
110
Step-by-step explanation:
Im not sure but the GCF of 10 and 11 should be 110. I hope this helps.
The assumptions required for making inference about a population using sample data include ;
- The 10% condition, sample size must not be more than 10% of the population size
- Data should be approximately normal with sample size, n being greater than 30 (n ≥ 30).
- The sample selection must be independent, as the outcome of a certain trial must not depend on the outcome of another.
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The vertical asymptote of f(x) is (A) x = 0, –9.
<h3>
What is a function?</h3>
- A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable).
- Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
To find the vertical asymptote of f(x):
The vertical asymptotes of a function are the zeroes of the denominator of a rational function
The function is given as: ![f(x) = \frac{(x-9)}{(x^{3} -81x)}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%28x-9%29%7D%7B%28x%5E%7B3%7D%20-81x%29%7D)
Set the denominator to 0:
Factor out x:
Express 81 as 9^2:
Express the difference between the two squares:
Split,
or
or
.
Solve for x:
Therefore, the vertical asymptote of f(x) is (A) x = 0, –9.
(See attachment for the graph of f(x))
Know more about functions here:
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The complete question is given below:
Consider the function f(x)=(x-9)/(x^3-81x) . find the vertical asymptote(s) of f(x).
A) x = 0, –9
B) x = –9
C) x = 0, 9
D) x = 9