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OpenStudy (khantahmina):
HELP WITH NUMBER 6 7 8
OpenStudy (agent0smith):
\[\large 0 = 2[e^{-t}(-1)+(1-t)e^{-t}(-1)]\]divide by 2, take out common factor of e^-t\[\large 0 = e^{-t}[(-1)+(1-t)(-1)]\]set each equal to zero and solve.
OpenStudy (khantahmina):
no solution
OpenStudy (khantahmina):
e^-t
OpenStudy (agent0smith):
The other factor has solutions.
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OpenStudy (khantahmina):
\[(1-t)=0\]
t=1
OpenStudy (khantahmina):
-1 doesnt =0
no solution
Thats all iget
OpenStudy (agent0smith):
The other factor was not 1-t... look closer.
7.\[\large 0 = -2x^2(e^{(-x)^2})(-2)-2e^{(-x)^2}\]take out common factor \(-2e^{(-x)^2}\)\[\large 0 = -2(e^{(-x)^2})(x^2(-2)+1)\]
OpenStudy (agent0smith):
"-1 doesnt =0
no solution
Thats all iget "
none of that makes any sense.
OpenStudy (khantahmina):
wow i need seroius help with that
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OpenStudy (agent0smith):
\[\large 0 = e^{-t}[(-1)+(1-t)(-1)] \]if one factor is e^-t, then what is the other factor?
OpenStudy (khantahmina):
1?
OpenStudy (khantahmina):
im not sure
OpenStudy (agent0smith):
You can also factor out a -1 \[\large 0 = e^{-t}[(-1)+(1-t)(-1)] \]\[\large 0 = -e^{-t}[1+(1-t)]\]
OpenStudy (khantahmina):
so from now do u use the zero property rule
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OpenStudy (agent0smith):
Yes. The * separates the factors\[\large 0 = -e^{-t}*[1+(1-t)]\]
OpenStudy (khantahmina):
so then
0=-e^(-t)
simplify that then
1+(1-t)=0
-1 -1
(1-t)=-1
-t=-2
t=2
OpenStudy (khantahmina):
right?
OpenStudy (agent0smith):
Yes
OpenStudy (khantahmina):
how would i then simplify then 0=e....
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OpenStudy (khantahmina):
i think theres no solution bc theres a 0
OpenStudy (agent0smith):
There is a solution. You just found it.
OpenStudy (agent0smith):
Back to 7.\[\large 0 = -2(e^{(-x)^2})[x^2(-2)+1]\]solve.
OpenStudy (khantahmina):
i got one answer which is 2. bc i did the zero property.
OpenStudy (khantahmina):
THIS IS WHAT I MEAN
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OpenStudy (khantahmina):
u see the question mark thats what i was talking about. will that be no solution
OpenStudy (khantahmina):
n for number 7
\[0=x^2 (e^(-x)^2)(-1)-e^(-x)^2\]
OpenStudy (agent0smith):
e^t never equals zero. Onto number 7.
OpenStudy (khantahmina):
ah i got u nowwww :)
OpenStudy (khantahmina):
so i divided by -2
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OpenStudy (agent0smith):
Already factored 7, see earlier post \[\large 0 = -2(e^{(-x)^2})[x^2(-2)+1]\]
OpenStudy (khantahmina):
so then
\[-2x^2+1=0\]
OpenStudy (agent0smith):
I assume you can solve that. Onto 8.\[\large 0 = -2 w^2 e^{(-w)^2}+e^{(-w)^2}\]factor out \(e^{(-w)^2}\)\[\large 0 = e^{(-w)^2}(-2 w^2+1)\]
OpenStudy (khantahmina):
\[-2x^2=-1\]
OpenStudy (khantahmina):
thats for number 7. ityped that 10 mins ago n it just sent. FREAKING WIFI
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OpenStudy (khantahmina):
\[x=\sqrt{1/2}\]
OpenStudy (khantahmina):
for number 7^
OpenStudy (agent0smith):
You forgot the plus or minus sign, when taking a square root.
OpenStudy (khantahmina):
8.
\[w ^{2}= 1/2\]
OpenStudy (khantahmina):
oh yeah 7. x= plus or minus \[\sqrt{1/2}\]
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OpenStudy (khantahmina):
8. w= plus or minus radiccal 1/2
OpenStudy (khantahmina):
what u think?
OpenStudy (khantahmina):
THANK U SO MUCH FOR THE HELP @agent0smith
OpenStudy (khantahmina):
do u mind helping me with some other like word problems.??
OpenStudy (khantahmina):
its about average rate of change
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