Mathematics
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OpenStudy (anonymous):
someone please help with two questions?
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OpenStudy (anonymous):
I saved the wrong one.
OpenStudy (anonymous):
sup
OpenStudy (anonymous):
OpenStudy (anonymous):
@satellite73
OpenStudy (anonymous):
first one, looks like you are adding 5 each time right?
keep adding 5
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OpenStudy (anonymous):
second one is the "distributive property" \(a(b+c)=ab+ac\)
OpenStudy (anonymous):
OpenStudy (anonymous):
I have another study guide that i'm trying to fill out tonight for a big bonus extra credit
OpenStudy (anonymous):
\[5x+11\geq -9\] we need to solve this right?
OpenStudy (anonymous):
Yes.
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OpenStudy (anonymous):
What grade you in?
OpenStudy (anonymous):
subtract \(11\) from both sides, get
\[5x\geq -20\] then divide both sides by \(5\) to get
\[x\geq -4\]
OpenStudy (anonymous):
\[10x-3\leq 27\] is done similarly
add \(3\) and divide by \(10\)
OpenStudy (anonymous):
you get pretty much in your head
\[x\leq 3\]
OpenStudy (anonymous):
put them together and get
\[-4\leq x\leq 3\]
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OpenStudy (anonymous):
So c?
OpenStudy (anonymous):
c?
OpenStudy (anonymous):
oh no, it is A
OpenStudy (anonymous):
Oh sorry haha, do my mind helping on this study guide?
OpenStudy (anonymous):
go ahead and ask
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OpenStudy (anonymous):
OpenStudy (anonymous):
\[-10x+11y=-6\] solve for \(y\) by adding \(10x\) to both sides and get
\[11y=10x+6\]
OpenStudy (anonymous):
then divide both sides by \(11\) giving
\[y=\frac{10}{11}x-\frac{6}{11}\]
OpenStudy (anonymous):
the slope is \(\frac{10}{11}\) and the \(y\) intercept is \(-\frac{6}{11}\)
OpenStudy (anonymous):
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OpenStudy (anonymous):
it is a polynomial
the domain of a polynomial is all real numbers
OpenStudy (anonymous):
for the range, you have to find the vertex
do you know how to do that?
OpenStudy (anonymous):
no.
OpenStudy (anonymous):
lol
ok, we use \(-\frac{b}{2a}\) which in your case is \(-\frac{-2}{2\times 1}=1\)
OpenStudy (anonymous):
then replace \(x\) by \(1\) and get \(y=1^2-2\times 1+3=1-2+3=-1+3=2\)
so the vertex is \((1,2)\)and the range is
\[\{y|y\geq 2\}\]
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OpenStudy (anonymous):
Ok, so now it automatically has to be b?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
OpenStudy (anonymous):
\[y-y_1=m(x-x_1)\]
\[y-3=\frac{4}{7}(x-7)\]
OpenStudy (anonymous):
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OpenStudy (anonymous):
@satellite73
OpenStudy (anonymous):
hell i don't know
but since the original price in 1985 is 1.25 go with b
OpenStudy (anonymous):
OpenStudy (anonymous):
you really only have one choice here
the \(-7\) at the end means it goes "Down 7"
OpenStudy (anonymous):
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OpenStudy (anonymous):
jesus how many of these you got?
OpenStudy (anonymous):
It's a study guide to my final next week, it's half of the questions on the final, there are like 100 something on the final, but this is like 40
OpenStudy (anonymous):
at least two hours means \(x+y\geq 2\)
OpenStudy (anonymous):
so its either b or c
OpenStudy (anonymous):
he works less on his backhand than his serve \(x<y\)
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OpenStudy (anonymous):
and also \(y>0\)
OpenStudy (anonymous):
so b?
OpenStudy (anonymous):
no i think c because you need \(x<y\)
OpenStudy (anonymous):
OpenStudy (anonymous):
mercifully it is the first one
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OpenStudy (anonymous):
i gotta run, good luck
OpenStudy (anonymous):
Thanks, i will finish this study guide :)