X=-6 because yes and yes...NANI?!
Answer:
14/45
Step-by-step explanation:
So we have the fraction:
![0.3\bar1=0.31111...](https://tex.z-dn.net/?f=0.3%5Cbar1%3D0.31111...)
We can do this algebraically. Follow to following steps:
Let's let this number equal to n. Thus:
![0.31111...=n](https://tex.z-dn.net/?f=0.31111...%3Dn)
Since there is only 1 digit repeating, let's multiply everything by 10. So:
![3.1111...=10n](https://tex.z-dn.net/?f=3.1111...%3D10n)
Now, subtract n from both sides:
![3.1111-n=10n-n](https://tex.z-dn.net/?f=3.1111-n%3D10n-n)
On the left, substitute the number for n. On the right, combine like terms:
![3.1111...-0.31111...=9n](https://tex.z-dn.net/?f=3.1111...-0.31111...%3D9n)
All of the 1s will cancel. So:
![3.1-0.3=9n](https://tex.z-dn.net/?f=3.1-0.3%3D9n)
Subtract:
![2.8=9n](https://tex.z-dn.net/?f=2.8%3D9n)
Divide both sides by 9:
![n=2.8/9](https://tex.z-dn.net/?f=n%3D2.8%2F9)
Remove the decimal by multiplying both sides by 10:
![n=28/90](https://tex.z-dn.net/?f=n%3D28%2F90)
Reduce:
![n=14/45](https://tex.z-dn.net/?f=n%3D14%2F45)
And we're done!
Use a calculator to check:
![14/45\stackrel{\checkmark}{=}0.31111...](https://tex.z-dn.net/?f=14%2F45%5Cstackrel%7B%5Ccheckmark%7D%7B%3D%7D0.31111...)
Answer:
Step-by-step explanation:
K, but what's the question?
Answer:
The graph is stretched vertically by a factor of ½, translated left 5 units, and translated up 3 units.