Step-by-step explanation: First, I did 3 x 1/4 (3/4) and with 3/4, I used the denominator (4) and multiplied both the numerator and denominator (with this I used 1/3) and multiplied 3 x 4 and 1 x 4 and got 4/12. Now I take the denominator of 3 (from 1/3) and multiply the numerator and denominator from the 3/4, and 3 x 3 and 3 x 4 which got me 9/12. Lastly, I did 9/12 and 4/12 and got 13/12 which is just 1 1/12
144t-16t^2= 16t(9-t) after 3 seconds (just substitute t=3): 16(3)(9-3)= 16(3)(6)= 16*18= 288 maximum height: find the average of the roots: the roots of 16t(9-t) are t=0 or t=9 since it's a parabola, the maximum is at t=4.5, at 324 ft if its height is 224 feet, the equation is 224=144t-16t^2 16t^2-144t+224=0 divide by 16: t^2-9t+14=0 this can be factored as (t-2)(t-7)=0 the roots are t=2 and t=7, so the ball has been in the air for either 2 seconds or 7 seconds the roots to 144t-16t^2 are 0 and 9, so the ball will hit the ground 9 seconds after being thrown