The function f(t)= -5t^2+20t+60 models the approximate height of an object
t seconds after it is launched. How many seconds does it take the object to hit the
ground?
please explain
Okay so first u want to pull out a gcf and since the first term is negative u want to pull out that negative sign. -5(t^2-4t-12) Then you want to make a cb chart and that is when u divide the c value into factors that will equal the b value. C=-12| B=-4 | | -6,2 = -4 ??? <-------✅ So then u divide those with the a value and make to separate parenthesis that are multiplied together and equal to 0 (t-6)(t+2) = 0 Then you solve for t in each separate parenthesis T=6 and t=-2 Since it's asking for when the ball hit the ground you can't have a negative number so in this case the answer would be 6 The ball reached the ground in 6 seconds.