The path of a baseball, hit 3 feet above ground, is modeled by the function f(x)=−0.01x2+x+3, where f(x) represents the vertical height of the ball and x is the horizontal distance. how far across the field, in feet, will the ball travel before hitting the ground? round to two decimal places.

102.92 feet

Step-by-step explanation:

x is the horizontal distance [what we want to find]

f(x) represents the vertical height

Since, we want the horizontal distance traveled [x] before hitting ground [vertical height is 0, so f(x) = 0]

We want:

We will use quadratic formula to solve this. Quadratic Formula is:

Where a is coefficient of x^2 and b is coefficient of x and c is the constant

Now, let's solve:

We disregard the negative solution [no neg distance] and take 102.92 feet as our answer