Answer:
y = 1/2x + 7
Step-by-step explanation:
Parallel lines have the same slope.
Therefore the new equation will have a slope(m) = 1/2
Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"
y = mx + b
6 = 1/2(-2) + b
6 = -1 + b
7 = b
The new equation: y = mx + b
y = 1/2x + 7
Number of students who play both baseball and basketball = 18+9+10-30 = 7
Probability that a student plays both sports = 7/30 = 0.233 = 23.3%
Answer:
![6^{\frac{1}{5} }=\sqrt[5]{6}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B6%7D)
![6^{\frac{7}{5} }=\sqrt[5]{6^7}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B7%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B6%5E7%7D)
![6^{\frac{1}{6} }=\sqrt[6]{6}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B1%7D%7B6%7D%20%7D%3D%5Csqrt%5B6%5D%7B6%7D)
![7^{\frac{1}{2} }=\sqrt[2]{7}](https://tex.z-dn.net/?f=7%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%3D%5Csqrt%5B2%5D%7B7%7D)
![7^{\frac{5}{2} }=\sqrt[2]{7^5}](https://tex.z-dn.net/?f=7%5E%7B%5Cfrac%7B5%7D%7B2%7D%20%7D%3D%5Csqrt%5B2%5D%7B7%5E5%7D)
![6^{\frac{9}{2} }=\sqrt[2]{6^9}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B9%7D%7B2%7D%20%7D%3D%5Csqrt%5B2%5D%7B6%5E9%7D)
Step-by-step explanation:
A radical is the root operation for n roots such as square root or cuberoot in the form
. A fraction exponent
can be converted to the radical form.
![6^{\frac{1}{5} }=\sqrt[5]{6}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B6%7D)
![6^{\frac{7}{5} }=\sqrt[5]{6^7}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B7%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B6%5E7%7D)
![6^{\frac{1}{6} }=\sqrt[6]{6}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B1%7D%7B6%7D%20%7D%3D%5Csqrt%5B6%5D%7B6%7D)
![7^{\frac{1}{2} }=\sqrt[2]{7}](https://tex.z-dn.net/?f=7%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%3D%5Csqrt%5B2%5D%7B7%7D)
![7^{\frac{5}{2} }=\sqrt[2]{7^5}](https://tex.z-dn.net/?f=7%5E%7B%5Cfrac%7B5%7D%7B2%7D%20%7D%3D%5Csqrt%5B2%5D%7B7%5E5%7D)
![6^{\frac{9}{2} }=\sqrt[2]{6^9}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B9%7D%7B2%7D%20%7D%3D%5Csqrt%5B2%5D%7B6%5E9%7D)