Since x and y are directly related, the equation for their comparison will look like
kx = y
where k is your constant. They give you an instance in the problem where x = 27 and y = 81. Plug this into the above equation and solve for k.
kx = y
k (27) = 81
k = 3
Thus, the constant of variation is 3.
Answer:
D. (-7)
Step-by-step explanation:
3(2 + f) = (-15)
(3 . 2) + (3 . f) = (-15)
6 + 3f = (-15)
3f = (-15) - 6
3f = (-21)
f = (-21)/3
f = (-7)
Therefore, cube root of 1000 is 10.
Step-by-step explanation:
= 3√1000
= 3√(10 × 10 × 10)
= 3√(103)
= 10
Answer:
Step-by-step explanation:
First we need to make sure that the leading coefficient is a 1. Ours is a 4, so we need to factor it out, leaving us with

To complete the square, take half the linear term, square it, then add it to both sides. But don't forget about that 4 hanging around out front, refusing to be ignored. Our linear term is 18. Half of 18 is 9, and 9 squared is 81. Add 81 into the parenthesis, but what we REALLY added in was 4*81 which is 324:

To solve this, we need to get the x terms all by themselves. So let's divide both sides by 4 to get

The process of completing the square created a perfect square binomial on the left. We will state this binomial now:

We isolate the x term by taking the square root of both sides:
x - 9 = ±9
From that we have 2 equations:
x - 9 = 9 and x - 9 = -9
Which means that x = 18 or x = 0