At a basketball game, an air cannon launches T-shirts into the crowd. The function y=−1/8x^2 + 4x represents the path of a T-shirt. The function 3y =2x − 14 represents the height of the bleachers. In both functions, y represents vertical height (in feet) and x represents horizontal distance (in feet). At what height does the T-shirt land in the bleachers?

The T-shirt lands in the bleachers at a height of 14 feet.

Step-by-step explanation:

The point where they meet is the solution of the simultaneous system of equations:

...........................................(1)

..............................................(2)

From (2),

.................................................(3)

Substituting (3) in (1),

Multiply through by 24 (the LCM of 3 and 8, the denominators of the fractions)

                OR        

                      OR        

The value of y represents the height.

Substituting for x in (3)

We discard the negative answer.

Hence, the T-shirt lands in the bleachers at a height of 14 feet.

10000

step-by-step explanation: divide by 2,