At a basketball game, members of the spirit club use a t-shirt cannon to launch team t-shirts to spectators in the stands. the equation below describes the height, h, of the t-shirt, t seconds after it is shot from the cannon c feet above the ground, at an initial velocity of v. h = -16t 2 + vt + c solve the equation for initial velocity, v.

The required equation is .

Step-by-step explanation:

The given equation is

where h is height of t-shirt after t seconds, c is initial height and v is initial velocity.

We have to solve the equation for initial velocity, v.

Subtract c from both the sides.

Add 16t² on both the sides.

Divide both sides by t.

Therefore the required equation is .

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204