When we say that y varies <em>directly </em>with x, we mean that whatever value x is scaled up by, y will be scaled up by, too. The simplest kind of direct variation is one where y = x for all values of x. If you multiply x by some value, y must be multiplied by that same value.
More generally, though, you'll have something of the form y = kx, where the variable k here is referred to as the <em /><em>constant of proportionality.</em> Another way you can think of k is as the <em>ratio of y to x</em>.
In this problem, you're given a set of values for x and y, and you'll need to use those to find the constant of proportionality before you set up an equation relating x to y. Substituting our general equation y = kx for the given values, we have:
-5 = k(15)
To get k, simply divide both sides by 15 to obtain:
k = -5/15 = -1/3
So, our general equation, for <em>any x</em>, would be y = (-1/3)x
Answer:
6 seconds
Step-by-step explanation:
Given
y = - 12x(x - 6)
When the ball hits the ground then height of ball is zero
let y = 0 , that is
- 12x(x - 6) = 0
Equate each factor to zero and solve for x
- 12x = 0 ⇒ x = 0 ← when ball is first kicked
x - 6 = 0 ⇒ x = 6 ← when the ball hits the ground.
The ball hits the ground after 6 seconds
Answer:
watch the video
Step-by-step explanation:
Answer:
my bad yall, I seen the comments!! it's 12
Step-by-step explanation:
I'm so sorry!!
Answer:
a, d, f
Step-by-step explanation:
3 - 3= 0
6 = 2(3)
3^2 = 9
