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OpenStudy (anonymous):
Sure. What's up?
OpenStudy (baitcaster13):
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?
Part B: Determine the x-intercepts. What do these values mean in the context of the problem?
OpenStudy (baitcaster13):
algebra 1
OpenStudy (anonymous):
Hm.. I think I've seen this problem before.. ;)
OpenStudy (anonymous):
Since I'm assuming this is a parabola, did you mean -x^2 or x times 2?
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OpenStudy (baitcaster13):
the first one
OpenStudy (anonymous):
Okay, so -x squared. I was confused for a sec and I was like wuh... xD Okay, so I'm going to get the answer myself and then I'll lead you through it. I'll take a couple minutes.
OpenStudy (baitcaster13):
oh sry i have the anseer is this right
OpenStudy (baitcaster13):
i thought i posted it
OpenStudy (baitcaster13):
A.
−(x2−44x+484−484+384)
−(x−22)2+100
Vertex is (22,100)
Since the equation is in the form -(x-a)^2 +b, meaning the vertex is the maximum point of the curve.
Relating to the situation, it just means that 100 is the maximum profit and 22 is the corresponding number of combos sold
B. To get the x-intercepts, just factor it out.
x-int is (x,0)
so. 0=(x-32)(X-12)
x-intercepts are 12 and 32
in these points, f(x)=0 which means the profit is also zero.
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OpenStudy (baitcaster13):
@ILovePuppiesLol
OpenStudy (baitcaster13):
@purple_pink
OpenStudy (anonymous):
Brb, I'll be back soon.
OpenStudy (baitcaster13):
@desmarie
ILovePuppiesLol (ilovepuppieslol):
not in the mood for math lol sorry
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OpenStudy (baitcaster13):
ok
OpenStudy (baitcaster13):
@Mehek14
OpenStudy (baitcaster13):
@Qwertty123
OpenStudy (baitcaster13):
@rebeccaxhawaii
OpenStudy (baitcaster13):
@party_girl
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Mehek (mehek14):
do you know how to find the vertex of a parabola?
OpenStudy (shadowlegendx):
no
OpenStudy (shadowlegendx):
teach me
OpenStudy (baitcaster13):
no
OpenStudy (party_girl):
Don't know sorry
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OpenStudy (baitcaster13):
ok thx any way party
Mehek (mehek14):
\(x=\dfrac{-b}{2a}\)
in the general formula
\(y=\color{red}{a}x^2+\color{blue}{b}x+c\)
Mehek (mehek14):
so find the values from your equation and plug them in
OpenStudy (shadowlegendx):
Once you find the x, you input it back into the equation to find the y
OpenStudy (baitcaster13):
um idu sry
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OpenStudy (shadowlegendx):
bait, channel that brainpower and stop trying to plant that bomb
OpenStudy (baitcaster13):
what
Mehek (mehek14):
from your equation, find a
OpenStudy (shadowlegendx):
I think he needs a mental push
OpenStudy (shadowlegendx):
@baitcaster13 Mekey is a girl
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OpenStudy (baitcaster13):
ya i know so
OpenStudy (shadowlegendx):
Sheʻs sapiosexual
OpenStudy (baitcaster13):
????
OpenStudy (shadowlegendx):
Google it
rebeccaxhawaii (rebeccaxhawaii):
meek's got you but meeky bb i need your help
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OpenStudy (baitcaster13):
so she like smart people so what
OpenStudy (baitcaster13):
idu
OpenStudy (shadowlegendx):
@baitcaster13 You gotta use more brainpower than 2 syllable words and abbreviations. We need you popping out equations
Mehek (mehek14):
@baitcaster13 find a, which should be attached to \(x^2\)
OpenStudy (shadowlegendx):
Think, you want to solve for the vertex. Follow the formula
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ILovePuppiesLol (ilovepuppieslol):
try ur best lol we are not here to give u answers :)
OpenStudy (baitcaster13):
my test just crashed i dont need help anymore lol
ILovePuppiesLol (ilovepuppieslol):
rip test
OpenStudy (baitcaster13):
so now i get all different questions
OpenStudy (baitcaster13):
:( im crying
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ILovePuppiesLol (ilovepuppieslol):
*gives u tissue* dun cry D:
OpenStudy (shadowlegendx):
The fates and interceded, as we cannot help users on tests
Mehek (mehek14):
:(
that's why ur not supposed to get distracted by idiots like shad
and we can't help on tests
rebeccaxhawaii (rebeccaxhawaii):
at least you got more time to study c:
ILovePuppiesLol (ilovepuppieslol):
^
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OpenStudy (shadowlegendx):
Mekey, the fates were using me
OpenStudy (baitcaster13):
it wasent a test i just called it that it is studyisland