Mathematics
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OpenStudy (abbycross167):
can someone please help me with this math question? please? I'll fan and give a medal... please show me how to graph
-1/2 + (1/2)y >= x
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OpenStudy (abbycross167):
What do you mean? @agent0smith that is the whole question... I just need to show the steps to graph that equation
OpenStudy (agent0smith):
First get it into y = mx+b form
OpenStudy (abbycross167):
y = -1/2x+(1/2)
like this?
OpenStudy (agent0smith):
No...
OpenStudy (agent0smith):
Add 1/2 to both sides you did correct. But then you have
(1/2)y = x+(1/2)
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OpenStudy (abbycross167):
oh okay so, the y = mx+b form of this- -1/2 + (1/2)y >= x = (1/2)y = x+(1/2)
OpenStudy (agent0smith):
Then how do you get rid of the 1/2 that is being multiplied by y?
OpenStudy (abbycross167):
umm i'm not sure
OpenStudy (agent0smith):
Multiply everything by 2/1
OpenStudy (abbycross167):
ok so -
2*1(1/2)y = x+(1/2)*2*1
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OpenStudy (agent0smith):
multiply EVERY term by 2/1
OpenStudy (agent0smith):
2/1 not 2*1...
OpenStudy (abbycross167):
2/1(1/2)y = x*2/1+(1/2)*2/1
OpenStudy (agent0smith):
Good.
OpenStudy (abbycross167):
then what do I do?
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OpenStudy (agent0smith):
Do math. Simplify.
OpenStudy (abbycross167):
2/1*(1/2)y = x*2/1+(1/2)*2/1
2/1*(1/2) = 1
2/1+(1/2)*2/1 = 3
OpenStudy (abbycross167):
y = 3x+1? or would it be 2x?
OpenStudy (agent0smith):
No idea what you did :/
OpenStudy (agent0smith):
\[\large \frac{ 2 }{ 1 }*\frac{ 1 }{ 2 }y=x*\frac{ 2 }{1 }+\frac{ 1 }{2 }*\frac{ 2 }{ 1 }\]
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OpenStudy (agent0smith):
Yes, 2/1*1/2 is 1.
How did you get a 3??
OpenStudy (abbycross167):
I multiplied...
OpenStudy (agent0smith):
Keep in mind all three terms are separate. You CANNOT add any of them together.
OpenStudy (abbycross167):
oh okay
OpenStudy (abbycross167):
so
2/1+1/2*2/1= 2 ?
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OpenStudy (agent0smith):
Why are you adding anything together at all? You should only be simplifying with multiplying... the x and 2/1 are attached by multiplication
OpenStudy (abbycross167):
2x+1?
OpenStudy (agent0smith):
Much better
OpenStudy (agent0smith):
now graph y=2x+1
OpenStudy (abbycross167):
thank you very much :) I really appreciate your help!!
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OpenStudy (agent0smith):
Welcome :)
OpenStudy (agent0smith):
Don't forget you're graphing the inequality \[\large y \ge 2x +1\]