1)v/4-3=5
v-12=20
v=32
2)u/5+3=1
u+15=5
u=-10
3)6+z/9=9
54+z=81
z=27
4)-7+f/2=-1
-14+f=-2
f=12
5)9+w/4=-5
36+w=-20
w=-56
6)e/7-3=-5
e-21=-35
e=-14
7)-8+d/5=2
-40+d=10
d=50
8)u/5+3=6
u+15=30
u=15
9)f/-3+5=8
f-15=-24
f=-9
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.".
<span>Proportional Relationship should be the correct answer.</span>
Answer:
6/5 miles per hour or 1.2 miles per hour
Step-by-step explanation:
If Natalie walked 3/5 miles in 1/2 hour, then in 1 hour she would have walker 6/5 miles(3/5 * 2). You can write 6/5 as 1.2 (6 divided by 5). Thus, Natalie walked 1.2 miles per hour
