This is the concept of trajectories;
We are required to calculate the time taken for the base ball whose distant to reach the maximum height has been modeled by h=-16t^2+64t+4.2 took to hit the ground. Here we proceed as follows;
At the time when the base ball hits the ground the height,h=0
Thus;
-16t^2+64t+4.2=0
this is a quadratic equation, to solve the quadratic equation we use the formula;
t=[-b+/- sqrt(b^2-4ac)]/(2a)
where;
a=-16,b=64, c=4.2
thus substituting the values in our formula we get:
t=[-64+/-sqrt(64^2-4*(-16)*4.2)]/(-16*2)
t=[-64+/- sqrt(4364.8)]/(-32)
t=[-64+/-66.1]/(-32)
t=4.1 or-0.1
thus the we take the positive value t=4.1 and we conclude that the time taken for the ball to hit the ground was 4.1 seconds
To find the inverse of the function, <span> f(x) = 1/4x-12, first interchange the variables of x and y
x=1/4y-12, now solve for y
1/4y=x+12, multiply by 4 on both sides
y=4x+48
Thus, the inverse of the function</span><span> f(x) = 1/4x-12 is 4x+48
Hope this helps!</span>
Answer:
4910.8672217
Step-by-step explanation:
I dont have a step by step, i am so sorry
