Supposed the path of a baseball follows the past graphed by the quadratic function f(d)= -0.6d^2+5.4d+0.8 where d is the horizontal distance the ball traveled in yards, and f(d) is the height, in yards of the ball at d horizontal yards. find the initial height and the initial velocity of the ball. a. initial height: 5.4 yards, initial velocity: 0.8 yards vertically/yard horizontally b. initial height: 0.8 yards, initial velocity: 5.4 yards vertically/yard horizontally c. initial height: 0.8 yards, initial velocity: 0.6 yards vertically/yard horizontally d. initial height: 0.6 yards, initial velocity: -5.4 yards vertically/yard horizontally

we are given

where

d is the horizontal distance the ball traveled in yards

f(d) is the height, in yards of the ball at d horizontal yards

Initial height:

For finding initial height , we can plug d=0

So, initial height is 0.8 yard

Initial Velocity:

We can find derivative

now, we can plug d=0

so, initial velocity is 5.4 yard vertically / yard horizontally

Hence , option-B.......Answer

i think the answer is b.

step-by-step explanation:

not 100% sure though.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.