here we have [tex] f(x) [/tex] is the height represented in feet.
we need to at when height is zero what will be the time taken to hit the ground.
which means [tex] f(x)=0 [/tex] we need to find x when f(x)=0.
[tex] -16(x^2-6x-16)=0 [/tex]
[tex] (x^2-6x-16)=\frac{0}{-16} =0 [/tex]
we need to use quadratic formula to find x. or factorisation.
if we factor out [tex] x^2-8x+2x-16=0 [/tex]
[tex] x(x-8)+2(x-8)=0 [/tex]
where [tex] (x+2)(x-8)=0 [/tex]
[tex] x=-2,8 [/tex]
where as time cannot be negative so x=8 is the time when height is zero.
Answer:
Its 8 seconds. Trust me.
Step-by-step explanation:
Ive done the quiz on ap3x