Mathematics
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OpenStudy (anonymous):
Help Please!
http://prntscr.com/12c7k3
13 years ago
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OpenStudy (anonymous):
@.Sam.
13 years ago
OpenStudy (anonymous):
i chose C
13 years ago
sam (.sam.):
\[2|x+\frac{1}{3}|<9\]
Square both sides,
\[4(x+\frac{1}{3})^2<81 \\ \\ (x+\frac{1}{3})^2<\frac{81}{4} \\ \\ x^2+\frac{2 x}{3}+\frac{1}{9}< \frac{81}{4}\]
13 years ago
sam (.sam.):
\[x^2+\frac{2x}{3}-\frac{725}{36}<0 \\ \\(6x-25)(6x+29)<0 \\ \\ x=\frac{25}{6}~,~x=-\frac{29}{6}\]
|dw:1367045091280:dw|
\[\large-\frac{29}{6}<x<\frac{25}{6}\]
Understand?
13 years ago
hartnn (hartnn):
just to mention an alternative method :
|a+b| > c
---> a+b > c or a+b < -c
solve these 2 equations separately to get 2 inequalities
13 years ago
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OpenStudy (anonymous):
so A
13 years ago
OpenStudy (anonymous):
@.Sam.
13 years ago
hartnn (hartnn):
yes. A
13 years ago
OpenStudy (anonymous):
Use the vertical-line test to determine which graph represents a function
13 years ago
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OpenStudy (anonymous):
there are three graphs which is the correct one
13 years ago
OpenStudy (anonymous):
I think its the third one
13 years ago
hartnn (hartnn):
ok, imagine a vertical line,
move that vertical line from left to right of the graph., if you find 2 or more points of intersection , then the graph is not a function.
and its not 3rd.
13 years ago
OpenStudy (anonymous):
so B
13 years ago
hartnn (hartnn):
yes.
13 years ago
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OpenStudy (anonymous):
according to the graph its C
13 years ago
hartnn (hartnn):
it must be |x-5 |
- means shift right
then
|...| +5
+ means shift up
13 years ago
hartnn (hartnn):
so... ?
13 years ago
hartnn (hartnn):
wouldn't it be D then ?
13 years ago
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OpenStudy (anonymous):
-5+5
13 years ago
hartnn (hartnn):
hmm ?
y <= |x-5| +5
13 years ago
OpenStudy (anonymous):
SO D
13 years ago
hartnn (hartnn):
yes.
13 years ago
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OpenStudy (anonymous):
Its b
13 years ago
OpenStudy (anonymous):
@.Sam.
13 years ago