Answer:
Step-by-step explanation:
Here's how you convert:
![\sqrt[n]{x^m}=x^{\frac{m}{n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Em%7D%3Dx%5E%7B%5Cfrac%7Bm%7D%7Bn%7D)
The little number outside the radical, called the index, serves as the denominator in the rational power, and the power on the x inside the radical serves as the numerator in the rational power on the x.
A couple of examples:
![\sqrt[3]{x^4}=x^{\frac{4}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E4%7D%3Dx%5E%7B%5Cfrac%7B4%7D%7B3%7D)
![\sqrt[5]{x^7}=x^{\frac{7}{5}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E7%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B5%7D)
It's that simple. For your problem in particular:
![\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%7D)
is the exact same thing as ![\sqrt[3]{7^1}=7^{\frac{1}{3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%5E1%7D%3D7%5E%7B%5Cfrac%7B1%7D%7B3%7D)
X=6
y=7
6+7
= 13
1/2(6) + 7
= 3 +7
=10
Answer:
After 3 seconds
Step-by-step explanation:
Given
Required
Seconds to attain maximum height
The maximum of a quadratic function 
is calculated using:
So, we have:
Where:
and 
So:
Cancel out negatives
Answer:
I think is is 5.4
Step-by-step explanation:
what I did is divided the problem
Let M = marker cost
Let P = pencil cost
3 markers and 2 pencils cost 1.80 ==> 3M + 2P = 1.80
4 markers and 6 pencils cost 2.90 ==> 4M + 6P = 2.90
Multiply the first equation by (-3) and add it to the second equation
-9M - 6P = -5.40
4M + 6P = 2.90
-5M = -2.50
M = 0.50
Plug this value for M into the 1st equation and solve for P
3*(0.50) + 2P = 1.80
1.50 + 2P = 1.80
2P = 0.30
P = 0.15
So a marker costs 50 cents and a pencil costs 15 cents
