The ball hits the ground when the height h(t) = 0 , so
-16t^2 + 80t = 0
-16t(t - 5) = 0
t- 5 = 0 or -16t^2 = 0 ( here t = 0 which corresponds to when ball is thrown)
t - 5 = 0 gives:-
t = 5 seconds (answer)
Answer:
3) f(x) = 3(x + 2)^2 - 1.
Step-by-step explanation:
f(x) = 3x² + 12x +11
f(x) = 3(x^2 + 4x) + 11 Completing the square:
f(x) = 3[(x + 2)^2 - 4] + 11
f(x) = 3(x + 2)^2 -+3*-4 + 11
f(x) = 3(x + 2)^2 - 12 + 11
f(x) = 3(x + 2)^2 - 1.
Answer:
length=45 m (2 sides = 90m)
Step-by-step explanation:
5x +3x=144
8x=144
x=18 (each of the 8 parts of 144 measure 18m)
5(18) + 3(18)=144
90 +54=144
90/2=45 (1 length side)
54/2=27 (1 width side)
The rectangle= 45+45 +27+27 = 144
We have 1 green and 8 non-green.
We get a probability of 8/9 of a non-green for the first marble and a probably of 7/8 for the second being non green, so
p = (8/9)*(7/8) = 7/9
Answer: 7/9
