You’re trying to dunk a basketball do you need to jump 2.5 feet in the air to dunk the ball the height that your feet are above the ground is given by the function h(t)=-16t^+12t

The jump never reaches the 2.5 feet above the ground.

Step-by-step explanation:

The equation for your height is h(t)=-16t^2+12t, lets find the time such

h(t) = 2.5 = -16t^2+12t

So we need to solve a quadratic equation now,

-16t^2+12t - 2.5 = 0

Before solving this, let's see the determinant to see if it has real solutions

D = 12^2 - 4*(-16)*(-2.5) = -16

So the determinant is a negative number, this means that we do not have real solutions, so there is not any moment in wich the jump reaches the 2.5 feet above the ground.

3201

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!