The mean of the combined group is 71.3 --- hope this helps
Answer:
Step-by-step explanation:
Answer:
![2\sqrt[3]{3}-\sqrt[3]{18}](https://tex.z-dn.net/?f=2%5Csqrt%5B3%5D%7B3%7D-%5Csqrt%5B3%5D%7B18%7D)
Step-by-step explanation:
We first rationalize the denominator. This means we multiply the numerator and denominator by a factor that will make the denominator a whole number.
Our denominator is
; this can also be written as
.
For 9 to be a whole number, its exponent must be a whole number. We want to add 2/3 to the exponent of 9 on the bottom; this means we multiply by
:
On the numerator, this gives us:
6(9^(2/3))-3(6^(1/3))(9^(2/3))
= ![6\sqrt[3]{9(9)} -3\sqrt[3]{2(3)}(\sqrt[3]{9(9)}) \\\\=6\sqrt[3]{3(3)(3)(3)}-3\sqrt[3]{2(3)(3)(3)(3)(3)}\\\\=6(3)\sqrt[3]{3}-3(3)\sqrt[3]{2(3)(3)}\\\\=18\sqrt[3]{3}-9\sqrt[3]{18}](https://tex.z-dn.net/?f=6%5Csqrt%5B3%5D%7B9%289%29%7D%20-3%5Csqrt%5B3%5D%7B2%283%29%7D%28%5Csqrt%5B3%5D%7B9%289%29%7D%29%20%20%5C%5C%5C%5C%3D6%5Csqrt%5B3%5D%7B3%283%29%283%29%283%29%7D-3%5Csqrt%5B3%5D%7B2%283%29%283%29%283%29%283%29%283%29%7D%5C%5C%5C%5C%3D6%283%29%5Csqrt%5B3%5D%7B3%7D-3%283%29%5Csqrt%5B3%5D%7B2%283%29%283%29%7D%5C%5C%5C%5C%3D18%5Csqrt%5B3%5D%7B3%7D-9%5Csqrt%5B3%5D%7B18%7D)
On the denominator, we will have:
(9^(1/3))(9^(2/3)) = 9^(3/3) = 9^1 = 9
This gives us:
![\frac{18\sqrt[3]{3}-9\sqrt[3]{18}}{9}\\\\=2\sqrt[3]{3}-\sqrt[3]{18}](https://tex.z-dn.net/?f=%5Cfrac%7B18%5Csqrt%5B3%5D%7B3%7D-9%5Csqrt%5B3%5D%7B18%7D%7D%7B9%7D%5C%5C%5C%5C%3D2%5Csqrt%5B3%5D%7B3%7D-%5Csqrt%5B3%5D%7B18%7D)
Answer:
A is your answer
Step-by-step explanation:
Answer:
(-5,-7)
Step-by-step explanation:
Set functions equal to each other.
2x+3= -4x-27
2x+4x = -3-27
6x=-30
x= -5
f(-5) = 2(-5) +3
f(-5) =-10+3 y= - 7
g(-5) = -4(-5) -27
g(-5) =20-27 y= -7
x=-5 y=-7
(-5,-7)