Mathematics
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OpenStudy (taygotunicorns):
I really need help on Comparing functions giving medal to the person who helps the most ( more than one question)
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OpenStudy (sylph):
Go ahead and shoot it, then.
OpenStudy (moji7029):
Ya
OpenStudy (taygotunicorns):
OpenStudy (sylph):
Plug in the functions for \[y=\frac{ 1 }{ 2 }x-3\]
OpenStudy (sylph):
Just choose your favorite coordinates the line runs through. :P
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OpenStudy (moji7029):
I think it's B. ya tell me if I'm wrong please
OpenStudy (sylph):
No direct answers please...
OpenStudy (moji7029):
Ok
I sill think thats it tho
OpenStudy (sylph):
Just plug in the x's and y's though. :)
OpenStudy (taygotunicorns):
ok
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OpenStudy (sylph):
Which coordinates did you choose?
OpenStudy (moji7029):
Axis
OpenStudy (taygotunicorns):
2,2
OpenStudy (moji7029):
Ok.
OpenStudy (sylph):
Okay, so does \[2=\frac{ 1 }{ 2 }\times2-3\]
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OpenStudy (taygotunicorns):
no it equals -2
OpenStudy (moji7029):
Did we help.
OpenStudy (sylph):
Moji the answer hasn't been given. Please stop.
OpenStudy (moji7029):
Sorry I still say it's B sorry
OpenStudy (sylph):
Yes, that's correct. We can rule out C. Now do the same with the table.
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OpenStudy (sylph):
Which coordinates will you choose?
OpenStudy (taygotunicorns):
ok so startng with 0,2
OpenStudy (moji7029):
^
OpenStudy (sylph):
Plug that into the equation... \[2=\frac{ 1 }{ 2 }\times0-3\]
OpenStudy (sylph):
Is that true?
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OpenStudy (taygotunicorns):
no because it equals -3
OpenStudy (sylph):
Exactly, so we can rule out both A and C now. Let's find the equations for the graph and the table to see if they're equal.
OpenStudy (sylph):
Do you know how to find the slope?
OpenStudy (sylph):
\[slope=\frac{ y_{2}-x _{1} }{ x_{2}-y_{1} }\]
OpenStudy (sylph):
Choose two coordinate pairs from the table.
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OpenStudy (taygotunicorns):
1,4
OpenStudy (sylph):
And the second pair?
OpenStudy (taygotunicorns):
2,8
OpenStudy (sylph):
\[x_{1}=1,y_{1}=4\]
OpenStudy (sylph):
\[x_{2}=2,y_{2}=8\]
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OpenStudy (sylph):
Now, can you plug that into the equation for the slope for me?
OpenStudy (sylph):
And then give me the value for the slope
OpenStudy (taygotunicorns):
ok im a bit confused by the slope
OpenStudy (taygotunicorns):
sorry im not a math genius math is a very difficult subject for me
OpenStudy (sachintha):
Rate of change of a graph is equal to it's slope/gradient.
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OpenStudy (taygotunicorns):
oh ok i under what you mean
OpenStudy (sachintha):
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