-9m+81-m^2+9m = 81 - m^2 (final answer since -9m and 9m cancels each other out)
Answer:
C. . Gas for her car is not good to put in a certificate of deposit
Step-by-step explanation:
<h2>
Hello!</h2>
The answer is:
d) ![\frac{(x-1)(11x+1)}{(x-1)(x+2)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-1%29%2811x%2B1%29%7D%7B%28x-1%29%28x%2B2%29%7D)
<h2>Why?</h2>
A hole is a point where rational functions lose its continuity, meaning that in that point, there is a discontinuity condition.
We can find the hole of a rational function if there are similar terms on the numerator and the denominator by finding:
First (x-component): The values of x that makes the function equal to 0 in both numerator and denominator.
Second (y-component): Re-evaluating the same term in the other factors of the function to know the y-component.
Finding the x component we have:
![f(1)=\frac{(1-1)(11*1+1)}{(1-1)(1+2)}=\frac{(0)(12)}{(0)(3)}=\frac{0}{0}](https://tex.z-dn.net/?f=f%281%29%3D%5Cfrac%7B%281-1%29%2811%2A1%2B1%29%7D%7B%281-1%29%281%2B2%29%7D%3D%5Cfrac%7B%280%29%2812%29%7D%7B%280%29%283%29%7D%3D%5Cfrac%7B0%7D%7B0%7D)
So, the x-component is 1,
Then, re-evaluating the function:
![f(1)=\frac{(x-1)(11*1+1)}{(x-1)(1+2)}=\frac{(12)}{(3)}=\frac{12}{3}=4](https://tex.z-dn.net/?f=f%281%29%3D%5Cfrac%7B%28x-1%29%2811%2A1%2B1%29%7D%7B%28x-1%29%281%2B2%29%7D%3D%5Cfrac%7B%2812%29%7D%7B%283%29%7D%3D%5Cfrac%7B12%7D%7B3%7D%3D4)
Therefore, the y-component is 4,
Hence,
The function has a hole at (1,4)
Have a nice day!
So this time, multiply 105 by 2 to get the diameter. You will have it as 210 ft. Multiply this by 3.14 and the circumference is 659.4
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
ft.
There are eight different possibilities for outcomes of three tosses:
<span>1. Head, Head, Head
2. Head, Head, Tail
3. Head, Tail, Head
4. Head, Tail, Tail
5. Tail, Head, Head
6. Tail, Head, Tail
7. Tail, Tail, Head
8. Tail, Tail, Tail</span>
The 8th possibility will not give us at least 1 head so we will cross that one out. So there is a 1/7 possibility for at least 1 head.