Answer:
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Step-by-step explanation:
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
Non-linear
The line should be an exponential function, as it halves in mass every time a certain amount of time has passed.
Answer:
4
Step-by-step explanation:
Nothing else rlly works besides 1,2,4 soo
Kono Dio Da!!!
Answer:
-49
Step-by-step explanation:
In order to fill in the given expression, we need to know ...
- f(-2) = -4
- f(-3) = 5
- f(-4) = 7
- g(0) = -7
- g(-3) = 3
Then the expression is ...
√(5 -(-4)) -(-7)² +7÷(-7)·(3) = √9 -49 +7/(-7)(3)
= 3 -49 +(-1)(3) = 3 -49 -3
= -46 -3 = -49
