Answer:
See explanation
Step-by-step explanation:
1. Given the expression
![\dfrac{\sqrt[7]{x^5} }{\sqrt[4]{x^2} }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B7%5D%7Bx%5E5%7D%20%7D%7B%5Csqrt%5B4%5D%7Bx%5E2%7D%20%7D)
Note that
![\sqrt[7]{x^5}=x^{\frac{5}{7}} \\ \\\sqrt[4]{x^2}=x^{\frac{2}{4}}=x^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E5%7D%3Dx%5E%7B%5Cfrac%7B5%7D%7B7%7D%7D%20%5C%5C%20%5C%5C%5Csqrt%5B4%5D%7Bx%5E2%7D%3Dx%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
When dividing
by
we have to subtract powers (we cannot subtract 4 from 7, because then we get another expression), so

and the result is ![x^{\frac{3}{14}}=\sqrt[14]{x^3}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B3%7D%7B14%7D%7D%3D%5Csqrt%5B14%5D%7Bx%5E3%7D)
2. Given equation ![3\sqrt[4]{(x-2)^3} -4=20](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20-4%3D20)
Add 4:
![3\sqrt[4]{(x-2)^3} -4+4=20+4\\ \\3\sqrt[4]{(x-2)^3}=24](https://tex.z-dn.net/?f=3%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20-4%2B4%3D20%2B4%5C%5C%20%5C%5C3%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%3D24)
Divide by 3:
![\sqrt[4]{(x-2)^3} =8](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%28x-2%29%5E3%7D%20%3D8)
Rewrite the equation as:

Hence,

3 weeks = 21 days
Let Jerrad's vacation be X then Max's be 2X and Wesley's 4X
X+2X+4X=21
7X=21 devide by 7
X=3 so Jerrad had 3 days vacation
2*3= 6 Max had 6 days
4*3=12 Wesley had 12 days vacation
x=8
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
Answer: Sample. Points. A(2, 1). B(1, 3). C(3, 2). Segments ... and angle measures of the image of △ABC after a dilation with a scale factor of k? Dilating Lines ... Graph quadrilateral KLMN with vertices K(−3, 6), L(0, 6), M(3, 3), and N(−3, −3) ... Find the perimeter and area of the rectangle. b.
Step-by-step explanation:
Answer:
11/17
Step-by-step explanation:
slope between two points: slope = (y2 - y1) / (x2 - x1)
(x1, y1) = (-19, -6), (x2, y2) = (15, 16)
m = (16 - ( - 6)) / (15 - ( - 19))
refine
m = 11/17
sorry it is hard to follow... i am on my phone rn :/