ANSWER
![f(x) = \frac{ {x}^{2} }{ {x}^{2} + 1 }](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%201%20%7D%20)
EXPLANATION
We write the function such that both the numerator and the denominator are prime.
An example of a rational function with no vertical asymptotes and no holes is
![f(x) = \frac{ {x}^{2} }{ {x}^{2} + 1 }](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%201%20%7D%20)
For the above rational function, the denominator is never zero, so there are no vertical asymptotes.
Also the highest common factor for the numerator and the denominator is 1 so there are no holes.
Let's find the total cost before the tax and tip.
14+16+2*1.25+2*4.25 = $41
The tip is added before the tax so let's calculate it first.
1.15 * 41 = $47.15
Now add the 7% tax.
1.07 * 47.15 = $50.45
Answer:
![2x(x+3)](https://tex.z-dn.net/?f=2x%28x%2B3%29)
Step-by-step explanation:
We'll start by doing simple things.
We see that there is a common factor of 2 so we will first take that out:
![2(x^2+3x)](https://tex.z-dn.net/?f=2%28x%5E2%2B3x%29)
Now we see that we can also take out an
:
![2x(x+3)](https://tex.z-dn.net/?f=2x%28x%2B3%29)
Now we can't take out anything else. Done!
The answer to number 7 is 7.5
Answer:
4 and 32
Step-by-step explanation: