Answer:
x = -9
Step-by-step explanation:
Multiply both sides by √(x - 6) to eliminate the fraction:
√(3x) = 3√(x - 6)
Now square both sides:
3x = 9(x - 6), or 3x = 9x - 54.
Combining the x terms results in -6x = -54, and thus x = 9.
You have a lot of questions here, I can help you with a few of them.
When you simplify the polynomials, you put together all of the terms that have the same degree. That means the variables have the same exponents. The number of terms are the items separated by plus and minus signs.
Here are the answers for the first three:
1)

2)

3)
Answer:
Pefect Squares but Not Perfect Cubes: 256, 361
Both Perfect Squares and Perfect Cubes: 1, 64
Perfect Cubes but Not Perfect Squares: 125
Step-by-step explanation:
256=16^2 ; 361=19^2
1=1^2=1^3 ; 64=8^2=4^3
125=5^3
96=6*16 (Not squares nor cubes)
200=2*100 (Not squares nor cubes)
333=37*9 (Not squares nor cubes)
Answer:
14 children
Step-by-step explanation:
If we know the ration, and we are given the adults, we can set up a proportion in order to solve for the amount of children there are.
5:2=35:x
5x=35*2
5x=70
x=14
There are 14 children