Answer:
The height of the ball is the same after 1.5 seconds and 3.5 seconds. ⇒ (A)
Step-by-step explanation:
<em>The quadratic function is represented by a parabola</em>
- The parabola is symmetric about its vertex.
- The average of the x-coordinates of any opposite points (points have the same y-coordinates) on the parabola is equal to the x-coordinate of its vertex point.
- The axis of symmetry of it passes through the x-coordinate of its vertex point.
- The equation of its axis of symmetry is x = h, where h is the x-coordinate of its vertex point.
∵ The quadratic function modeling the height of a ball over time
∴ f(t) = at² + bt + c
→ t is the time in second, f(t) is the height of the ball after t seconds
∵ It is symmetric about the line t = 2.5
∴ The x-coordinate of its vertex is 2.5
→ That means the average of the x-coordinates of any two
opposite points belong to f(t) is 2.5
∵ The average of 1.5 and 3.5 = 
∴ 1.5 and 3.5 have the same value of f(t)
∴ 1.5 and 3.5 have the same height
The height of the ball is the same after 1.5 seconds and 3.5 seconds.
Answer:
I think its wrong. For g(5)=(5/5)^2=1 and in your graph is something close to 3. The correct graph for 
is
Answer:
the correct answer you are looking for is D
Step-by-step explanation:
Answer: 241
Step-by-step explanation:
This is a simple problem when using Pascal's triangle. First you look at 1 - 3, what is the difference in these 2 numbers? Its 2, then you look at 3 and 11, the difference is 8, then 11 and 35, the difference is 24. If you keep doing this you get; 2 8 24 64 142. Next you find out how these numbers are different. In the end you keep doing this until you get to the triangles point or the differences converge.
1 3 11 35 99 <u>241</u>
2 8 24 64 142
6 16 40 78
10 24 38
14 14
In the end we get 14 but there is no difference in the numbers so we cant go any farther. Hope this helps!
Answer:
Option C (1, 0)
Step-by-step explanation:
We have a system with the following equations:
The first equation is a parabola.
The second equation is a straight line
To solve the system, substitute the second equation in the first and solve for x.
Simplify
You must search for two numbers that when you add them, obtain as a result -2 and multiplying both results in 1.
These numbers are -1 and -1
Therefore
Finally the solutions are
