According to the question, to express the rational function for the vertical asymptote whose equation is 
and horizontal asymptote whose equation is at 
As per the question, the function 'f(x)' is vertical at . Therefore, the denominator be 
The function 'g(x)' should have same degree as the denominator function has and it is defined as
The rational function can be written as:
Rational function = 
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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Answer:
volume is 1570 cm³
mass is 12560 g
Step-by-step explanation:
1m = 100 cm
the volume is :
1/4 x 
x 6² x 100 - 1/4 x x 4² x 100
= 900 - 400 { v = 1/4 d²h }
= 500
= 500 x 3.14
= 1570 cm³
the mass of the pipe is:
1570 x 8 = 12560 grams
Answer:
If the ratio of one variable to the other is constant, then the two variables have a proportional relationship,
If x and y have a proportional relationship, the constant of proportionality is the ratio of y to x.
In this section, you will learn, how to find the constant of proportionality from a table which contains the values of x and y.
Step-by-step explanation:
I hope that helps, I'm so sorry if it doesn't
7a expression: 12 + (- 1) + (- 1) + 3
7b evaluate: 13 Solving:((12 + -1 = 11) + (-1 + 3 = 2) (11 + 2 = 13))
7c: At the end of the three days, the value of the stock was $13.
<span>Let x = represent the number of weeks of deposits
A = 120 + 5x the account balance after x weeks
The account balance is directly proportional to the number of weeks of deposits if:
A/x = constant
(120 + 5x)/x = 120/x + 5 is not a constant
For example:
After 1 week there will be: 120 + 1*5 = $125 on the account
After 2 week there will be: 120 + 2*5 = $130 on the account
After 3 week there will be: 120 + 3*5 = $135 on the account
But 125/1 <> 130/2 <> 135/3
The account balance is not proportional to the number of weeks of deposits.</span>
