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
Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?
Alekssandra [29.7K]
<span>First we have to find the sum and the difference of those polynomials- The sum is: ( 3 x^5y - 2 x^3y^4 - 7 xy^3 ) + ( - 8 x^5y + 2 x^3y^4 + xy^3 ) = 3 x^5 - 2 x^3y^4 - 7xy^3 - 8 x^5y + 2 x^3y^4 + xy^3 = - 5 x^5y - 6 xy^3. And the difference: ( 3 x^5y - 2 x^3y^4 - 7 xy^3 ) - ( - 8 x^5y + 2 x^3y^4 + xy^3 ) = 3 x^5y - 2 x^3y^4 - 7 xy^3 + 8 xy^5 - 2 x^3y^4 - xy^3 = 11 xy^5 - 4 x^3y^4 - 8xy^3. The highest exponent in both polynomials is 5. Answer: The degree of the polynomials is 5.</span>
7 0
3 years ago
Read 2 more answers
It takes 9 meters of ribon to make 24 bows. How many meters of ribbom doesnit take to make 16 bows?
Ivenika [448]

Answer:


Step-by-step explanation:yes


7 0
2 years ago
Which triangle’s unknown side length measures 7 units?
kow [346]

A (A right triangle with a side length of 5 and hypotenuse with length \sqrt{74})

8 0
3 years ago
Read 2 more answers
Please help :) Find the unknown length y in the following pair of similar triangles. y= ?
Nimfa-mama [501]

Answer:

Y should equal to 4.5

Step-by-step explanation:

Since they are similar triangles and each of the measurements on the second triangle are divided by two you would do the same for y

4 0
3 years ago
I need the answers to these or for someone to tell me how to figure it out
Lorico [155]

Answer:

4. Scalene

5. Isosceles

6. Isosceles

7. Equilateral

8. Right

9. Scalene

4 0
3 years ago
Read 2 more answers
Other questions:
  • Given the equation −4 Square root of x minus 3= 12, solve for x and identify if it is an extraneous solution
    14·2 answers
  • Diego can type 140 words in 4 minuets. At this rate, how long will it take him to type 385 words
    14·2 answers
  • How do you find the slope?
    11·1 answer
  • The ratio of number of boys campers to the number of girl campers was 8 to 7 if there are a total of 195 campers how many boy ca
    7·1 answer
  • Describe 21 hundred using different words​
    5·1 answer
  • An artist is deciding between two different triangular shapes to use for a sculpture. The first triangle has a base of 20 feet a
    8·2 answers
  • What is the 75th term of the arithmetic sequence -1, 5, 11
    15·1 answer
  • What is the value of the question mark in the picture below .
    14·2 answers
  • Solve the right triangle.<br> Round your answers to the nearest tenth.
    5·1 answer
  • 4. Magalie brings 456 ounces of soda to her
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!