Mathematics
8 Online
OpenStudy (anonymous):
Solve the system of equations. 2x-3y+z=-1 3x+2y+2z=-1 x-y-3z=-4
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OpenStudy (anonymous):
this stuff is a real pain
let the machine do it
OpenStudy (anonymous):
you know how?
OpenStudy (anonymous):
Not a clue
OpenStudy (anonymous):
Which machine?
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OpenStudy (anonymous):
Thank you!
OpenStudy (anonymous):
the machine you are typing on
OpenStudy (anonymous):
yw
OpenStudy (anonymous):
I have another question
OpenStudy (anonymous):
The graph of which quadratic equation has a vertex of (-2,1).
Y=(x+1)^2-2
Y=(x-1)^2-2
Y=(x+2)^2+1
Y=(x-2)^2+1
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OpenStudy (solomonzelman):
need it by hand (for question 1), then I would suggest matrix. it is already in order for a matrix.
OpenStudy (anonymous):
I got the answer to the first question. And I don't know matrix
OpenStudy (solomonzelman):
oh.
OpenStudy (solomonzelman):
`y=(x-h)²+k`
has a vertex (h,k)
OpenStudy (solomonzelman):
now, where would this (h,k) be (-2,1) ? In which of the options?
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OpenStudy (anonymous):
Y=(x-1)^2+1
OpenStudy (solomonzelman):
y=(x-h)²+k
you need vertex (-2,1)
and in that form the vertex is (h,k)
so h=-2, k=1
y=(x- (-2) )² + (1)
y= ? (you tell me....)
OpenStudy (anonymous):
Um I'm not really sure
OpenStudy (misty1212):
HI!!
OpenStudy (solomonzelman):
Hello :)
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OpenStudy (misty1212):
where did your \(-1\) come from?
\[y=(x-\color{blue}h)^2+\color{red}k\] put
\[\color{blue}h=\color{blue}{-2}\] and \[\color{red}k=\color{red}1\]
OpenStudy (anonymous):
My bad I meant to put 2 not 1
OpenStudy (misty1212):
final answer?
OpenStudy (anonymous):
That's what I'm trying to figure out and I can't seem to get it
OpenStudy (misty1212):
it is a straight forward substitution
plug in the numbers as above
that is all
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OpenStudy (anonymous):
So y=(X-2)^2+1?
OpenStudy (misty1212):
no dear, the minus sign comes with the number
OpenStudy (anonymous):
So y=(x+2)^2+1?
OpenStudy (misty1212):
\[y=(x-(-2))^2+1\] but of course you don't want to write \(-(-2)\)
OpenStudy (misty1212):
yeah that one has vertex \((-2,1)\)
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OpenStudy (anonymous):
Thank you! I actually understand it now!
OpenStudy (misty1212):
\[\color\magenta\heartsuit\]