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
zalisa [80]
3 years ago
6

6.) the following function represents the profit P(n) in dollars that a concert promoter makes by selling tickets for n dollars

each:
P(n)=-250n^2+3,250n-9,000

Part A: What are the zeroes of the above function and what do they represent? Show your work.

Part B: Find the maximum profit by completing the square of the function P(n ). Show the steps of your work.

Part C: What is the axis of symmetry of the function P(n )?
Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0
For Part A, what to do first is to equate the given equation to zero in order to find your x intercepts (zeroes)

0=-250n^2+3,250n-9,000 after factoring out, we get

-250(n-4)(n-9) and these are your zero values.

For Part B, you need to square the function from the general equation Ax^2+Bx+C=0. So to do that, we use the equated form of the equation 0=-250n^2+3,250n-9,000 and in order to have a positive value of 250n^2, we divide both sides by -1

250n^2-3,250n+9,000=0

to simplify, we divide it by 250 to get n^2-13n+36=0 or n^2-13n = -36 (this form is easier in order to complete the square, ax^2+bx=c)

in squaring, we need to apply <span><span><span>(<span>b/2</span>)^2 to both sides where our b is -13 so,
(-13/2)^2 is 169/4

so the equation now becomes n^2-13n+169/4 = 25/4 or to simplify, we apply the concept of a perfect square binomial, so the equation turns out like this 

(n-13/2)^2 = 25/4 then to find the value of n, we apply the square root to both sides to obtain n-13/2 = 5/2 and n is 9. This gives us the confirmation from Part A. 

For Part C, since the function is a binomial so the graph is a parabola. The axis of symmetry would be x=5.

</span></span></span>
You might be interested in
Alfred made 21 goals in 3.5 minutes. What is the unit rate?
nekit [7.7K]
21 to 3.5
goals to minutes
5 0
3 years ago
Read 2 more answers
Tamara needs to buy motor oil to fill the 7 empty cylindrical barrels at her oil service center. Each barrel is 4.5 ft deep and
Lerok [7]

Answer:

addition and multiplication

Step-by-step explanation:

add 4.5 + 1.5 to get 6 ft and then multiply that by 7

6 0
3 years ago
S n o g is ann01ng it w4rn3d me for asking a normal question i had because of my h0m3w0rk
8090 [49]
?.?.......?????????????........????????????
5 0
3 years ago
Read 2 more answers
Which number is irrational? A. 0.3 B. [5 C. 0.777 D. 00.454445
Yanka [14]
C.0.777 decuase it is smart

8 0
3 years ago
Read 2 more answers
What is the missing number?
andriy [413]
As it appears to be the same thing on both sides so far wouldn't you think that it's 8?
6 0
3 years ago
Other questions:
  • What is the surface area?
    7·1 answer
  • Can you please help me?
    14·1 answer
  • How much is 150 us dollars equal to canadian dollars
    9·2 answers
  • What does pi mean? I foro=got..
    8·1 answer
  • 9 Gregory thinks -6.9 is not a rational number because it is not a
    12·1 answer
  • Tell which property is represented 8•12•5=8•(12•5)
    10·1 answer
  • Four less than the quotient of a number x and 5.
    8·2 answers
  • HELP!!!!! Help plz thx
    15·1 answer
  • Someone please help me
    5·1 answer
  • On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 2, negative 1) and (negative 2, negative 4)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!