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anonymous
 one year ago
HELP PLEASE! WILL FAN AND GIVE MEDAL
The function f(x) = −x2 + 48x − 432 models the profit, in dollars, a game developer makes for selling a new game, where x is the number of games sold and f(x) is the amount of profit.
Part A: Determine the vertex. What does this calculation mean in the context of the problem?
Part B: Determine the xintercepts. What do these values mean in the context of the problem?
anonymous
 one year ago
HELP PLEASE! WILL FAN AND GIVE MEDAL The function f(x) = −x2 + 48x − 432 models the profit, in dollars, a game developer makes for selling a new game, where x is the number of games sold and f(x) is the amount of profit. Part A: Determine the vertex. What does this calculation mean in the context of the problem? Part B: Determine the xintercepts. What do these values mean in the context of the problem?

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Jack1
 one year ago
Best ResponseYou've already chosen the best response.3so how do u find x intercepts?

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3x intercepts occur where y = 0

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3so put f(x) = 0 into ur equation and solve for x first

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3its easier if u factorise the equation first tho

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm not 100% sure on how to factorise it completely

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3all good: x^2 + 48x 432 so what 2 numbers multiply to give 432... but adds to give 48? factors of 432 = 1,432, 2,216, 3,144, 4,108 6,72 8,54 9,48 12,36 16,27 18,24 so which 2 add to give 48 answer = 12 and 36

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3x^2 + 48x 432 f(x) = ( x +36 )( x  12)

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3FOIL that: ( x +36 )( x  12) ( x^2 +36x + 12x 432)

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3so, can you solve x intercepts?: f(x) = −x2 + 48x − 432 x intercepts are when f(x) = 0 0 = −x2 + 48x − 432 0 = ( x +36 )( x  12) therefore x = ??? or x = ???

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think I'm overthinking it xD

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got some crazy numbers

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3ok... well what about this: have u ever heard of the Quadratic Formula?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, but I haven't learned anything about it

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3u can use this on a calculator or write out shorthand and solve urself using the values from ur equation in ur case: ur equation is: y = ax^2 + bx + c so a = 1 b = 48 c = 432 plug in and solve

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3or, easier: 0 = ( x +36 )( x  12) therefore either 0 = x +36 or 0 = x  12 ... yep, so one value is x = 12 so the other x value must be

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3perfect! so... the hard part... what does that mean?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I find the vertex which is the maximum profit

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3yep, vertex = max profit... what do the x intercept indicate tho?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0They're the number of games sold

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3yeahh... so when they hit the x axis... they're not making any money... so like if they sold 11 or few units... they'd be losing money same as if they sold 33 or more copies... they'd be losing money

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3* sorry 37 or more copies

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay I understand that

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3cools so what's the vertex? where do u start?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do I substitute the xintercepts into the equation?

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3nah, thats over... so we want the highest point on the curve, right have u done differentials yet? ie gradients

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3damn... i have no idea how to help u then, sorry :(

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3its the only way i know how to solve

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0There's this formula

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is the xcoordinate 24?

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3so what was the formula?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[x=\frac{ b }{ 2a }\]

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3never seen it before, but hey, if it works, awesome!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Mhm. I think it's wrong, but is the ycoordinate 1,296?

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3no, should be 144 plug x = 24 into ur equation, u should get that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yea I did something wrong there

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much for your help!!!

Jack1
 one year ago
Best ResponseYou've already chosen the best response.3np hey, u rock at these and good lucks
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