## HelloKitty17 one year ago The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars each: P(n) = -250n2 + 2,500n - 4,000 Part A: What are the zeroes of the above function, and what do they represent? Show your work. (4 points) Part B: Find the maximum profit by completing the square of the function P(n). Show the steps of your work. (4 points) Part C: What is the axis of symmetry of the function P(n)? (2 points)

1. HelloKitty17

@HootHoot

2. hoothoot

ok im trying this one throwing me off a bit

3. HelloKitty17

ok! thanks

4. hoothoot

one year ago $\Large\rm P(n)=-250n^2 + 2500n - 4000$So the find zeros, we set the P(n) equal to zero.$\Large\rm 0=-250n^2 + 2500n - 4000$This will be easier to work with if we have no fancy coefficient on the squared term. So let's factor a -250 out of each term:$\Large\rm 0=-250(n^2-10n+16)$Then divide the -250 away,$\Large\rm 0=n^2-10n+16$It looks like this will factor nicely! Confused by any of those steps?

5. hoothoot

few dont wanna write that back down again

6. HelloKitty17

Witch part is witch

7. HelloKitty17

@HootHoot

8. OregonDuck

which one is part a b and c?

9. hoothoot

the mid is and the lower part is c i go from top to bottom

10. hoothoot

orry it is a lil confusing

11. hoothoot

but that was the best way to explain it the other ways made it harder to understand

12. HelloKitty17

could you writ is again please with it saying part a b and c

13. OregonDuck

-250n^2 + 2500n - 4000 = 0 n^2 - 10n + 16 = 0 (n - 8)(n - 2) = 0 The zeroes are (0,2) and (0,8). The values between these two points are places where the profit is positive. At these two points, the promoter breaks even. *** n^2 - 10n + 16 = 0 -10/2 = -5 (-5)^2 = 25 n^2 - 10n + 25 = 9 (n - 5)^2 = 9 The maximum is when n - 5 = 0, or n = 5. P(5) = 9 * 250 = 2250, or (5,2250). *** The access of symmetry is at n = 5.

14. hoothoot

-250n^2 + 2500n - 4000 = 0 n^2 - 10n + 16 = 0 (n - 8)(n - 2) = 0 The zeroes are (0,2) and (0,8). The values between these two points are places where the profit is positive. At these two points, the promoter breaks even. n^2 - 10n + 16 = 0 -10/2 = -5 (-5)^2 = 25 n^2 - 10n + 25 = 9 (n - 5)^2 = 9 The maximum is when n - 5 = 0, or n = 5. P(5) = 9 * 250 = 2250, or (5,2250). The access of symmetry is at n = 5. ok i tried my best hope this works

15. hoothoot

my finger gett sore from typing