Answer:

Step-by-step explanation:
Given the expression ![\frac{\sqrt[5]{b} }{\sqrt[]{b} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B5%5D%7Bb%7D%20%7D%7B%5Csqrt%5B%5D%7Bb%7D%20%7D)
![\frac{\sqrt[5]{b} }{\sqrt[]{b} } \\= \frac{b^{1/5}}{b^{1/2}} \\= b^{1/5-1/2}\\= b ^{2-5/10}\\= b^{-3/10}\\Compare \ b^n \ with \ b^{-3/10}\\\\n = -3/10](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B5%5D%7Bb%7D%20%7D%7B%5Csqrt%5B%5D%7Bb%7D%20%7D%20%5C%5C%3D%20%5Cfrac%7Bb%5E%7B1%2F5%7D%7D%7Bb%5E%7B1%2F2%7D%7D%20%5C%5C%3D%20b%5E%7B1%2F5-1%2F2%7D%5C%5C%3D%20b%20%5E%7B2-5%2F10%7D%5C%5C%3D%20b%5E%7B-3%2F10%7D%5C%5CCompare%20%5C%20b%5En%20%5C%20with%20%5C%20%20b%5E%7B-3%2F10%7D%5C%5C%5C%5Cn%20%3D%20-3%2F10)
Answer:
y=12x+10 or f(x)=12x+10
Step-by-step explanation:
If it costs $12 per month to rent as many movies as you want, then that can be represented as 12x
Since $10 is a flat fee and doesn't change, this gets added seperately to 12x
Thus, the final equation is y=12x+10 or f(x)=12x+10
Hope this helped!
Answer:
Step-by-step explanation:

Hence,
The radius of the circle is 4 units, coordinates of its centre are (4,-2).



Hello,
In this geometric sequence, the ratio is (1/3)/(1/2)=(1*2)/(3*1)=2/3
1/2*2/3=2/6=1/3
1/3*2/3=2/9
2/9*2/3=4/27
4/27*2/3=8/81