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.

600,000,000,000, or 6e14

step-by-step explanation:

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2