anonymous
  • anonymous
The function f(x) = −x2 + 44x − 384 models the daily profit, in dollars, a shop makes for selling donut combos, where x is the number of combos 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? (5 points) Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points) CAN YOU GVM THE ANSWERS PLEASE
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@jim_thompson5910
anonymous
  • anonymous
@jim_thompson5910 ARE STILL THERE?
jim_thompson5910
  • jim_thompson5910
what do you have so far?

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anonymous
  • anonymous
The function f(x) = −x2 + 44x − 384 models the daily profit, in dollars, a shop makes for selling donut combos, where x is the number of combos 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? (5 points) Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)
jim_thompson5910
  • jim_thompson5910
you already posted that
anonymous
  • anonymous
yea can you help me its my last question?
jim_thompson5910
  • jim_thompson5910
|dw:1436488305187:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1436488324499:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1436488354162:dw|
jim_thompson5910
  • jim_thompson5910
oops I meant to say "a = -1"
anonymous
  • anonymous
Part A: -1? Part B: 44? Part C: -384?
jim_thompson5910
  • jim_thompson5910
no
anonymous
  • anonymous
THATS THE ANSWERS?
jim_thompson5910
  • jim_thompson5910
a,b,c that i listed are the coefficients not the answers
jim_thompson5910
  • jim_thompson5910
have you seen \[\Large y = ax^2 + bx + c\] before?
jim_thompson5910
  • jim_thompson5910
btw there is no part c
anonymous
  • anonymous
OH YEA MY Bad, so i need to solve that problem?
jim_thompson5910
  • jim_thompson5910
if a = -1 and b = 44 then what is \(\LARGE \frac{-b}{2a}\) equal to?
anonymous
  • anonymous
a=2 and b=2 ?
jim_thompson5910
  • jim_thompson5910
\[\Large \frac{-b}{2a} = \frac{-44}{2*(-1)} = ??\]
anonymous
  • anonymous
22?
jim_thompson5910
  • jim_thompson5910
yes, so x = 22 is where the vertex is plug x = 22 into the original equation to find y
anonymous
  • anonymous
so whats nexts? i need to find y?
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
|dw:1436488910837:dw|
anonymous
  • anonymous
-342?
jim_thompson5910
  • jim_thompson5910
incorrect
jim_thompson5910
  • jim_thompson5910
you should have gotten -1*(22)^2+44(22) - 384 = 100
jim_thompson5910
  • jim_thompson5910
when x = 22, y = 100
jim_thompson5910
  • jim_thompson5910
|dw:1436489230679:dw|
anonymous
  • anonymous
oh ok, so whats next?
jim_thompson5910
  • jim_thompson5910
`What does this calculation mean in the context of the problem? ` what does the vertex tell us?
anonymous
  • anonymous
(22, 100)?
jim_thompson5910
  • jim_thompson5910
yeah what does it mean in the real world? how does it translate into english?
jim_thompson5910
  • jim_thompson5910
if you're stuck, what does x represent in this problem?
anonymous
  • anonymous
twenty-two
jim_thompson5910
  • jim_thompson5910
go back up at the top what does it say x represents? `where x is the...`
anonymous
  • anonymous
x = 22 ?
jim_thompson5910
  • jim_thompson5910
look at the instructions. It tells you what x means
jim_thompson5910
  • jim_thompson5910
I don't want the number
jim_thompson5910
  • jim_thompson5910
`The function f(x) = −x2 + 44x − 384 models the daily profit, in dollars, a shop makes for selling donut combos, where x is _________ and f(x) is _____________.`
anonymous
  • anonymous
vertex?
jim_thompson5910
  • jim_thompson5910
do you see what I mean? by asking to look at the instructions
jim_thompson5910
  • jim_thompson5910
Fill in the blanks `The function f(x) = −x2 + 44x − 384 models the daily profit, in dollars, a shop makes for selling donut combos, where x is _________ and f(x) is _____________.`
jim_thompson5910
  • jim_thompson5910
scroll to the very top of the page. You posted these instructions up there
anonymous
  • anonymous
where x is the "number of combos sold" and f(x) is the amount of profit
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
when we say x = 22 and y = 100 that means when 22 combos are sold, the profit is 100 dollars
anonymous
  • anonymous
oh
jim_thompson5910
  • jim_thompson5910
(22,100) is the vertex at the highest point, so the most profit we can get is $100 and that happens when 22 combos are sold
jim_thompson5910
  • jim_thompson5910
this is usually where managers want to aim
anonymous
  • anonymous
so that the answer for part A?
jim_thompson5910
  • jim_thompson5910
yeah all so far for A
anonymous
  • anonymous
OR THAT only one part?
jim_thompson5910
  • jim_thompson5910
we found the vertex and then gave an explanation of what it really means
anonymous
  • anonymous
ok thank you and for part B?
jim_thompson5910
  • jim_thompson5910
solve 0 = -x^2 + 44x - 384 for x you can use technology (graphing) or the quadratic formula
anonymous
  • anonymous
Part A:(22,100) is the vertex at the highest point, so the most profit we can get is $100 and that happens when 22 combos are sold Part B:?
jim_thompson5910
  • jim_thompson5910
part b) solve 0 = -x^2 + 44x - 384 for x you can use technology (graphing) or the quadratic formula
jim_thompson5910
  • jim_thompson5910
desmos is a good graphing calculator https://www.desmos.com/calculator
jim_thompson5910
  • jim_thompson5910
type in -x^2 + 44x - 384 then look for the x intercepts
anonymous
  • anonymous
TYPE IN THE CALCULATOR?
jim_thompson5910
  • jim_thompson5910
you see where the input box is?
anonymous
  • anonymous
NO :/
jim_thompson5910
  • jim_thompson5910
1 Attachment
anonymous
  • anonymous
OH OKAY WAIT LET ME SEE
anonymous
  • anonymous
1?
jim_thompson5910
  • jim_thompson5910
1 Attachment
anonymous
  • anonymous
OH IN THAT CALCULATOR I DONT KNOW HOW TO PUT X^2
jim_thompson5910
  • jim_thompson5910
do you see the points (12,0) and (32,0) ?
anonymous
  • anonymous
yes
jim_thompson5910
  • jim_thompson5910
you just put in x^2 like you typed
jim_thompson5910
  • jim_thompson5910
it understands that notation
jim_thompson5910
  • jim_thompson5910
(12,0) and (32,0) are the x-intercepts x-intercept (12,0) when x = 12, the value of y is 0 so when 12 combos are sold, the profit is $0 x-intercept (32,0) when x = 32, the value of y is 0 so when 32 combos are sold, the profit is $0
jim_thompson5910
  • jim_thompson5910
anything in between x = 12 and x = 32 means you'll have positive profits otherwise you will have 0 profit or negative profit (you lose money or owe it)
anonymous
  • anonymous
lose?
jim_thompson5910
  • jim_thompson5910
negative profit = you lost money ie you spent more than what you made
jim_thompson5910
  • jim_thompson5910
example you send $10 but you only make $6 so you lost $4 (6-10 = -4)
anonymous
  • anonymous
oh yea
anonymous
  • anonymous
so?
jim_thompson5910
  • jim_thompson5910
we're practically done with the problem
jim_thompson5910
  • jim_thompson5910
`Part B: Determine the x-intercepts. What do these values mean in the context of the problem?` the x-intercepts are 12 and 32. As ordered pairs they are (12,0) and (32,0). They represent the points where the profit is $0. This is where you break even. You don't gain any money and you don't lose any money.
anonymous
  • anonymous
so thats the asnwer for part B?
jim_thompson5910
  • jim_thompson5910
more or less
anonymous
  • anonymous
ANSWER*
anonymous
  • anonymous
LESS?
jim_thompson5910
  • jim_thompson5910
huh? I don't know what you mean? I'm basically saying "yes"
anonymous
  • anonymous
OH I THINK YOU ARE ASK ME IS MORE OR LESS
jim_thompson5910
  • jim_thompson5910
ignore that portion
anonymous
  • anonymous
SO WHAT WITH NEED TO DO NOW?
anonymous
  • anonymous
WE*
jim_thompson5910
  • jim_thompson5910
you're done, the problem is over
anonymous
  • anonymous
SO WAIT THE ANSWER FOR PART B ITS: MORE OR LESS?
jim_thompson5910
  • jim_thompson5910
no
jim_thompson5910
  • jim_thompson5910
I already gave it to you. Just go back and re-read it
anonymous
  • anonymous
the x-intercepts are 12 and 32. As ordered pairs they are (12,0) and (32,0). They represent the points where the profit is $0. This is where you break even. You don't gain any money and you don't lose any money.
anonymous
  • anonymous
???
jim_thompson5910
  • jim_thompson5910
yeah just put that into your own words. Hopefully you understand what I mean?
anonymous
  • anonymous
IN my own words? i dont know
anonymous
  • anonymous
@jim_thompson5910 ???
jim_thompson5910
  • jim_thompson5910
you can do it
anonymous
  • anonymous
no please i can please i don't speak good english
anonymous
  • anonymous
:(
jim_thompson5910
  • jim_thompson5910
Give it your best shot. Just be confident.
anonymous
  • anonymous
so wait i need to write the answer in my own?
anonymous
  • anonymous
with my own letters?
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
thankss for you help

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