Enter an expression into each box to create a true equation 30x + __=6(_

Write a rational function with the given characteristics.

Maurinko [17]

According to the question, to express the rational function for the vertical asymptote whose equation is $x=8$ and horizontal asymptote whose equation is at $y=0.$

As per the question, the function 'f(x)' is vertical at $x=8$ . Therefore, the denominator be $(x-8)$

$f(x)=\frac{g(x)}{(x-8)}$

The function 'g(x)' should have same degree as the denominator function has and it is defined as $y=0$

The rational function can be written as:

Rational function = $\frac{y}{(X-8)}$

What is rational function?

Rational function is a function whose numerator and denominator terms are in polynomials. Basically, it is a ratio of polynomials. The important condition for these type of function is that denominator should be of degree one.

To learn more about rational function from the given link:

<u>brainly.com/question/19044037</u>

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6 0

1 year ago

One inlet pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 20 hours. How long will it take the pipe to

Andrei [34K]

<span>30 hours For this problem, going to assume that the actual flow rate for both pipes is constant for the entire duration of either filling or emptying the pool. The pipe to fill the pool I'll consider to have a value of 1/12 while the drain that empties the pool will have a value of 1/20. With those values, the equation that expresses how many hour it will take to fill the pool while the drain is open becomes: X(1/12 - 1/20) = 1 Now solve for X X(5/60 - 3/60) = 1 X(2/60) = 1 X(1/30) = 1 X/30 = 1 X = 30 To check the answer, let's see how much water would have been added over 30 hours. 30/12 = 2.5 So 2 and a half pools worth of water would have been added. Now how much would be removed? 30/20 = 1.5 And 1 and half pools worth would have been removed. So the amount left in the pool is 2.5 - 1.5 = 1 And that's exactly the amount needed.</span>

6 0

3 years ago

8xy − 9x2 y − 5x + 6

givi [52]

Answer:

DOnt know

Step-by-step explanation:

dont know

4 0

2 years ago

Read 2 more answers

A colleague has been tutoring six students in 11th grade to prepare for the ACT. This colleague has asked you to evaluate the pe

marissa [1.9K]

We have been given that a colleague has been tutoring six students in 11th grade to prepare for the ACT. Student scores were as follows: 20, 18, 16, 15, 23, 20. We are asked to find the mean of the ACT scores.

We will use mean formula to solve our given problem.

$\text{Mean}=\frac{\text{Sum of terms}}{\text{Number of terms}}$