Mathematics
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OpenStudy (anonymous):
Identify the x- and y-intercepts of f(x). Without graphing g(x), identify its x- and y-intercepts.
f(x)=-3/2x+9;g(x)=2/3f(x)
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OpenStudy (ash2326):
@michae1 You know what x and y intercepts mean?
OpenStudy (anonymous):
@ash2326
they are the x axis and y axis on a graph, correct?
OpenStudy (ash2326):
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OpenStudy (ash2326):
The line where it cuts x axis, is the x intercept
where it cuts y axis , is y intercept
OpenStudy (anonymous):
oh yea. i know this. im just doing this problem on the web cause i don't really understand this way of graphing
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OpenStudy (ash2326):
f(x)=-3/2x+9
to find x intercept put f(x) ( or y) =0 and find value of x
to find y intercept put x=0 and find value of f(x)
Can you try?
OpenStudy (anonymous):
these are the possible answers...
a) f(x): 6, 9
g(x): 6, 6
b) f(x): 6, 9
g(x): 6, 9
c) f(x): 6, 9
g(x): 4, 6
d) f(x): 6, 9
g(x): 4, 9
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
x=6?
OpenStudy (ash2326):
yes, good :) now find y intercept
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OpenStudy (anonymous):
i dont get how to solve
g(x)=2/3f(x)
OpenStudy (anonymous):
oh wait nvm
OpenStudy (anonymous):
okay i need help..
OpenStudy (ash2326):
We need to find g(x)
\[g(x)=\frac 2 3 f(x)\]
\[g(x)=\frac 2 3 \times(\frac {-3}{2} x +9)\]
multiply and find g(x)
OpenStudy (anonymous):
i got 9
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OpenStudy (ash2326):
for y intercept of f(x)?
OpenStudy (anonymous):
no for g(x)...
OpenStudy (ash2326):
Try again
OpenStudy (anonymous):
i divided negative one to negative 9
OpenStudy (anonymous):
2/3×(−3/2x
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OpenStudy (anonymous):
what dos that =
OpenStudy (ash2326):
\[g(x)=\frac 2 3 \times(\frac {-3}{2} x +9)\]
\[=\frac 2 3 \frac 3 2(-x)+\frac 2 3 \times 9\]
\[=-x+6\]
OpenStudy (anonymous):
so then we plug in 6?
OpenStudy (ash2326):
for x intercept put g(x)=0
y intercept x=0
OpenStudy (anonymous):
so g(x):6, 6
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OpenStudy (ash2326):
yes :)
do you understand this?
OpenStudy (anonymous):
yea i do now
OpenStudy (ash2326):
cool :D