Answer:
![\sqrt[6]{432}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B432%7D)
Step-by-step explanation:
![\sqrt[3]{4}\cdot\sqrt{3}=4^{\frac{1}{3}}\cdot3^\frac{1}{2}=(2^2)^\frac{1}{3}\cdot3^\frac{1}{2}=(2^\frac{4}{3})^\frac{1}{2}\cdot3^\frac{1}{2}=(2^\frac{4}{3}\cdot3)^\frac{1}{2}=(2^4\cdot27)^\frac{1}{6}=432^\frac{1}{6}=\sqrt[6]{432}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%7D%5Ccdot%5Csqrt%7B3%7D%3D4%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5Ccdot3%5E%5Cfrac%7B1%7D%7B2%7D%3D%282%5E2%29%5E%5Cfrac%7B1%7D%7B3%7D%5Ccdot3%5E%5Cfrac%7B1%7D%7B2%7D%3D%282%5E%5Cfrac%7B4%7D%7B3%7D%29%5E%5Cfrac%7B1%7D%7B2%7D%5Ccdot3%5E%5Cfrac%7B1%7D%7B2%7D%3D%282%5E%5Cfrac%7B4%7D%7B3%7D%5Ccdot3%29%5E%5Cfrac%7B1%7D%7B2%7D%3D%282%5E4%5Ccdot27%29%5E%5Cfrac%7B1%7D%7B6%7D%3D432%5E%5Cfrac%7B1%7D%7B6%7D%3D%5Csqrt%5B6%5D%7B432%7D)
Answer:
(-3,2)
Step-by-step explanation:
1) -2x+y=8
you need to leave the Y alone on one side. Then, the term -2x goes to the other side with its opposite sign which is +.
y=8+2x
2) y=2x/(5-8)
3) 8+2x=2x/(5-8)
now, you need the x value. for that, you need to leave x alone on one side.
8+2x=2x/(-3)
8+2x=-(2/3)x
8=-(2/3)x-2x
8=-(8/3)x
8/-(8/3)=x
-3=x
4) you now have the x value. you need the y value. for that, replace the x in one of the given equations. let´s use the 1st equation.
-2x+y=8
y=8+2x
y=8+2*(-3)
y=2
result:
x= -3
y=2
Not sure what you're asking!
Brenda has a blance of 38 dollars in her piggy bank. What exactly do you still need to learn / know?
She might have 3-$10 bills, 1-$5 bill and 3-$1 bills. Other combinations are possible.
Answer:
right
neither
straight
neither
Step-by-step explanation:
The first angle is a right angle. The box in the corner indicates a 90 degree angle
The second angle is less than 90 degrees so it is an acute angle
The third angle is a straight line so it is a straight angle.
The fourth angle is wider than 90 degrees it is an obtuse angle
Answer:
The solution is x = 10 and x = -6. This quadratic could be represented in factored form as (x - 10)(x + 6) or on a graph with x-intercepts at (10,0) and (-6,0).
Step-by-step explanation:
To solve the quadratic, write the quadratic in standard form and factor the equation.
x² - 4x = 60
x² - 4x - 60 = 0
(x - 10)(x + 6) = 0
x = 10 and x = -6
