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Alex Ar [27]
1 year ago
11

Write a rational function with the given characteristics.

Mathematics
1 answer:
Maurinko [17]1 year ago
6 0

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 asy=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>

#SPJ4

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Determine the number of solutions to a system of equations.
babunello [35]

Step-by-step explanation:

When we compare 2 system of equations (of the form y = mx + c), we take note of the following things:

  • If the values of m and c in both equations are the same, they have infinitely many solutions
  • If only the value of m is the same, they have no solutions
  • If neither is the same, they have 1 solution

Bearing this in mind, we have the following answers:

y = -6x - 2 and y = -6x - 2

=> Infinitely many solutions

y = 0.5x + 5 and y = 0.5x + 1

=> No solutions

y = 0.25x + 2 and y = 5x - 4

=> 1 solution

y = 2x + 3 and y = 4x - 1

=> 1 solution

y = 2x + 5 and y = 2x + 5

=> Infinitely many solutions

y = -x - 3 and y = -x + 3

=> No solutions

7 0
2 years ago
Can you help me with this?
Firdavs [7]
I don’t know this answer but I think it’s 81
3 0
3 years ago
The total price for 4 movie tickets is $46.40 . If each ticket costs the same amount, how much does one movie ticket cost?
Contact [7]

Answer:

$11.60

Step-by-step explanation:

4x = 46.4

x = 11.6

3 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cbf%20x-17%3D-25" id="TexFormula1" title="\bf x-17=-25" alt="\bf x-17=-25" align="absmiddle"
Sonbull [250]
To solve this, add 17 to both sides:
x = -25 + 17
x = -8
5 0
3 years ago
Read 2 more answers
A manufacturer of lawnmowers wanted to know the most important product attributes to consumers. The company's research team deve
stepladder [879]

Answer: Ordinal measurement scale

Step-by-step explanation:

In ordinal measurement scale the order of values or variables are very important. Just as in the case above, the rating from 1-3 is according to the order of it's importance.

Thanks

7 0
2 years ago
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