1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeka57 [31]
3 years ago
5

Hi boys can you help me pls!!!!!!!

Mathematics
1 answer:
goblinko [34]3 years ago
7 0

Answer: OPTION A.

Step-by-step explanation:

Given the following function:

h(x)=-\frac{1}{4}x^2+\frac{1}{2}x+\frac{1}{2}

You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.

Since it is a Quadratic function its graph is parabola.

So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.

You can find the x-coordinate of the Vertex with this formula:

x=\frac{-b}{2a}

In this case:

a=-\frac{1}{4}\\\\b=\frac{1}{2}

Then, substituting values, you get:

x=\frac{-\frac{1}{2}}{(2)(-\frac{1}{4}))}\\\\x=1

Finally, substitute the value of "x" into the function in order to get the y-coordinate of the Vertex:

h(1)=y=-\frac{1}{4}(1)^2+\frac{1}{2}(1)+\frac{1}{2}\\\\y=0.75

Therefore, you can conclude that:

<em> The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.</em>

You might be interested in
Solve the equation.<br> 1. -66 = -9n+ 16 + 4<br> n = 4<br> b. n = 10
prisoha [69]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Mathew has $40.00, if Mathew wants to buy a bike for $70.00, how much more money will he need to buy the bike?
Gnoma [55]

Answer:

Step-by-step explanation:

30

7 0
3 years ago
a store received 500 containers of milk to be sold by Febuary 1. Each container the store sold $0.83 and sold for $1.67. The sto
FrozenT [24]
$409.80.

The amount of net profit the store makes on each container is given by 1.67-0.83 (the amount it is sold for subtracted by the amount it costs the store), which is $0.84 per container.  They sell 470 containers, so the net profit at this point is 470(0.84) = $394.80.

However, since the distributor is giving the store a $0.50 refund on all every container under 500 that the store sells, the store gets additional money back:

500-470 = 30 containers not sold
30(0.50) = 15

So the total profit is $394.80 + 15 = $409.80.
6 0
3 years ago
Which of the following is true of the discriminant for the graph below
aniked [119]

Answer:

Step-by-step explanation:

The discriminant is used to determine the number and nature of the zeros of a quadratic. If the discriminant is positive and a perfect square, there are 2 rational zeros; if the discriminant is positive and not a perfect square, there are 2 rational complex zeros; if the discriminant is 0, there is 1 rational root; if the discriminant is negative, there are no real roots.

The roots/solutions/zeros of a quadratic are where the graph goes through the x axis. Those are the real zeros, even if they don't fall exactly on a number like 1 or 2 or 3; they can fall on 1.32, 4.35, etc. They are still real. If the graph doesn't go through the x-axis at all, the zeros are imaginary because the discriminant was negative and you can't take the square root of a negative number. As you can see on our graph, the parabola never goes through the x-axis. Therefore, the zeros are imaginary because the discriminant was negative. Choice C.  Get familiar with your discriminants and the nature of quadratic solutions. Your life will be much easier!

4 0
3 years ago
What is -5(3m+4)= Please help
Naddik [55]
It would be -15m + -20
7 0
3 years ago
Read 2 more answers
Other questions:
  • Using the order of operations, evaluate... 3-(3+3x3)-4^2 The 4^2 is 4 squared
    7·2 answers
  • What does +79 - 21 =
    13·1 answer
  • Are we allowed to ask for web links?
    11·1 answer
  • Derek is going to lay grass in a
    11·1 answer
  • Slope 8/5;y-intercept(0,-9)
    7·1 answer
  • Jessie painted a rectangular wall that measured 7 yards by 3 yards.
    14·2 answers
  • (-2x-5)=23 solve for it step by step please
    12·2 answers
  • PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.
    9·1 answer
  • I WILL GIVE BRAINLIST!!! PLEASE ANSWER
    6·1 answer
  • What is 17/10 in it's simplest form
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!