Answer:
see explanation
Step-by-step explanation:
Given
8x - 6 > 12 + 2x ( subtract 2x from both sides )
6x - 6 > 12 ( add 6 to both sides )
6x > 18 ( divide both sides by 6 )
x > 3
Any value of x greater than 3 will be in the solution set
Answer:
-2.1
Step-by-step explanation:
Answer:
y = -3.84.
Step-by-step explanation:
(0.4y - 3)/(1.5y + 9) = -7/5
Cross multiply:
2y - 15 = -10.5y - 63
12.5y = -48
y = -3.84
The ball describes a parabola, as you can see in the attached picture. So, the point where the ball strike the ground is the point where the parabola meets the x axis. In fact, the x-axis is the set of points where y=0, which means that the ball has height 0 or -again- it hits the ground.
So, we have to set y=0 in our equation and look for the positive solution. We have

And the positive solution is

So that's the distance from the child where the ball strikes the ground.