Answer:
The maximum height of the particle is 100 ft
A is correct
Step-by-step explanation:
A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second.
The standard equation of parabolic projectile.

where,



So, we get the parabolic equation of path.
The maximum value at vertex.


Maximum at t=0.5


Hence, The maximum height of the particle is 100 ft
Answer:
66 sweets
Step-by-step explanation:
all you need to do is multiply 11 by 6 to get your answer seeing that ⅙ of the jar is 11
Answer: The first number is 4
Explanation: Since the sum of the two numbers is ten, x + y = 10
Also, since the difference of the two numbers is two, then x - y = 2
Since x - y = 2, another way to write that is x = y + 2 and since x is exactly the same as y + 2, we can plug in "y + 2" in place of x in the first equation (x + y = 10) to get (y + 2) + y = 10. Then we solve this equation by combining like-terms.
2y + 2 = 10
2y = 8
y = 4
Since x = y + 2, x = 4 + 2 or x = 6
I hope this helped you!
Answer:
The answer will turn out to be y= 5 or y= -5.
Answer:
See below for answers and explanations (along with a graph)
Step-by-step explanation:
<u>Part A</u>
Set f(x)=0 and factor the expression by grouping:

Use the Zero Product Property to find the x-intercepts:


Hence, the x-intercepts for the graph of f(x) are
and
.
<u>Part B</u>
Find the x-coordinate of the vertex:

Find the y-coordinate of the vertex:

Hence, the vertex is
. We can see from the positive leading coefficient of the function that the vertex will be a minimum because the parabola will open faced-up.
<u>Part C</u>
You can use the x-intercepts and vertex to plot points of the graph of the function. Additionally, you can throw in the y-intercept in as well. The y-intercept, in this case, is
, or
as an ordered pair. See attached graph.