A batter strikes a baseball. the equation y = -0.005^2 +0.7x + 3.5 models its path, where x is the horizontal distance, in feet, the ball travels and y is the height, in feet, of the ball. how far from the batter will the ball land? Round to the nearest tenth of afoot.

a. -4.8 feet

b. 4.8 feet

c. 145.9

d. 144.8

(D)144.8 feet

Step-by-step explanation:

Given the equation which models the path of the baseball

where x is the horizontal distance, in feet, the ball travels and y is the height, in feet, of the ball.

To determine how far from the batter the ball will land, we determine the distance x at which the height, y=0.

We use the quadratic formula to solve.

In the quadratic equation above, a=-0.005, b=0.7, c=3.5

Since x cannot be negative, x=144.8 feet to the nearest tenth of a foot.

The correct option is D.

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