Question

<< QUADRATIC INEQUALITIES>>

A consultant advises the owners of a beauty salon that their profit (p) each month can be modeled by p(x) = -50x^2 + 3500x -2500, where x is the average cost that a customer is charged. What range of costs will bring in a profit of at least $50,000?

Answer 1

Hey @AllTehMaffs @shamil98 , you any good at quadratic inequalities?

Answer 2

Sure :) You want to set your p(x) = 50,000, then

50,000 = -50x^2 + 3500x -2500

0 = -50x^2 + 3500x -(52500)

which is in the form ax^2 + bx + c

and then you sing the song!

x = (-b±sqrt (b^-4ac))/2a

Answer 3

Does that look familiar at all? :/ And I was taught a literal song to sing to remember that, which is why I said it... .... ...

Answer 4

i think i got it. im just finishing up

Answer 5

ok, cool. ^^

Answer 6

x=35±5i√371

Answer 7

I often think boutique's are imaginary.... hmmm... What did you use for your A, B, and C?

Answer 8

The range should be 20 to 50 methinks. That's what my graph says at least....

Answer 9

exactly. agh. idk what happened

Answer 10

the answer is between $21.78 and $48.22

Answer 11

i just have to show work and obvs i did something really wrong. as soon as that i came up. but i was so invested at that point i just finished it out . haha

Answer 12

my equation up there should be been b^2 - 4 ac and not b^(-4ac) you know that right :/ ....

Answer 13

The point of no return. The partial credit point if it's on a test :P

Answer 14

http://www.wolframalpha.com/input/?i=0+%3D+-50x^2+%2B+3500x+-%2852500%29+ these are the roots

Answer 15

which are the answers it wants

Answer 16

The roots of x

Answer 17

-5(sqrt7 - 7) and 5(7+sqrt7)

Answer 18

ha yes i knew that, don't worry you played no part in my failure . my teacher doesnt even do that . lol she hates kids and she doesnt teach. i've been failing on catastrophic levels this year in alg II .

Answer 19

sad panda :( sorry or crappy teachers :P

Answer 20

eh . its okay . forget about the problem. she doesnt even grade work. not worth it

Answer 21

\[x = \frac{ -b ± \sqrt{b^2 - 4ac} }{ 2a } \]
we're gonna solve this damn thing, and be glad we did gosh darnit

Answer 22

lol! i have the right answer it okay, its not worth it. i stil have 4 more pages of work before tomorrow. dont waste your time on it (:

Answer 23

fine then ^^

Answer 24

lol if you just love math you could do my other math hw. i wouldnt stop you (X started out this week with 16 pages to do, only 4 left . i feel proud.

Answer 25

The squareroot of a work load is a fine place to be

Answer 26

That's so many pages good God

Answer 27

I know right. It was my fall break this week. All my gen-ed teachers piled it on. So I'm lucky I'm a art major, so majority of my classes are that, but still . my entire fall break i have been working. I didnt even hang out with friends because i didnt have time. and im still not done with them. Its 4 am, my class is in like 9 hours. Haulin butt right now.

Answer 28

What class is it?

Answer 29

just Algebra II . Its just taking me so long because i'm teaching my self all of this , and im not great at math when im actually taught how to do it.

Answer 30

Algebra II was hard too, if I remember. It's actually applying all the basic operations and stuff from Al. I and mixing them up with geometry and rational/irrational/imaginary numbers

Answer 31

yeah.. im not enjoying it. but its a mandatory course so i have to push through it

Answer 32

What's your art specialization?

Answer 33

textiles & apparel. but, minor graphic design, photography, and cosmetology. m also in drawing , painting, and clay courses. :D lol how bout you? whats your study of choice?

Answer 34

Do you want to do fashion design then? I try to do pure and applied physics with minors in french/linguistics and math.

Answer 35

it usually goes awry

Answer 36

yeah, since i was seven years old, its been my passion. that sounds like a lot of brain power.

Answer 37

So does yours, so there!

Answer 38

lol, mines all right brain. you are heavy left brain. I would prolly keel over and die. I do not excel in anything left brain . im all hands on and "let me mess things up"

Answer 39

Mine's mostly an excuse to be the oddly silent one in groups. OCD neat here :P I also do music/ music theory but that turns out worse than the others. Always forget which is left and right brain stuff. I'm best at literature and historical analysis, but never really liked it.

Answer 40

Anywhoo, been up way too long, as I'm sure you have too. Good luck with your 4 more pages ^^

Answer 41

Nice chattin' with ya ^^

Answer 42

lol im super ocd . lol but yeah . see ya (: