Answer:
Step-by-step explanation:
Hello, because of the end behaviour it means that the leading coefficient is negative so we can construct such polynomial function as below.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
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.".
Answer:
Step-by-step explanation:
<em><u>Given:</u></em>
<em><u>Solve for:</u></em>
<em><u>Solution:</u></em>
(1) Let's move all of components that do not contain (our target) to the right side (notice the change of sign of 
from negative to positive):
(2) Let's divide both sides of equation by 4:
(3) Now, we simplify the left side:
This is the solution.
Hope this helps!
:)
Answer: B and C
Step-by-step explanation:
404 + 50 + 50 = 504
you are buying 144 magazines total
504/144 = cost of one magazine
cost of one = 3.50
you are paying $60 a year for 12 years
60 x 12 = 720
720/144 = 5
5 - 3.50 = 1.50
2.
120x + 180x = 1080
300x = 1080
x = 1080/300
x = 3.6
3.6 x 60 = 216
Answer:
-3
4 - 7 = -3.
-3 + 7 = 4.
They are in a fact family.
The answer is -3.
Hope it helps!
