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Mathematics 21 Online
OpenStudy (anonymous):

Help Please! http://prntscr.com/12c7k3

OpenStudy (anonymous):

@.Sam.

OpenStudy (anonymous):

i chose C

sam (.sam.):

\[2|x+\frac{1}{3}|<9\] Square both sides, \[4(x+\frac{1}{3})^2<81 \\ \\ (x+\frac{1}{3})^2<\frac{81}{4} \\ \\ x^2+\frac{2 x}{3}+\frac{1}{9}< \frac{81}{4}\]

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?

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

OpenStudy (anonymous):

so A

OpenStudy (anonymous):

@.Sam.

hartnn (hartnn):

yes. A

OpenStudy (anonymous):

Use the vertical-line test to determine which graph represents a function

OpenStudy (anonymous):

http://prntscr.com/12c9vr

OpenStudy (anonymous):

there are three graphs which is the correct one

OpenStudy (anonymous):

I think its the third one

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.

OpenStudy (anonymous):

so B

hartnn (hartnn):

yes.

OpenStudy (anonymous):

http://prntscr.com/12cakw

OpenStudy (anonymous):

according to the graph its C

hartnn (hartnn):

it must be |x-5 | - means shift right then |...| +5 + means shift up

hartnn (hartnn):

so... ?

hartnn (hartnn):

wouldn't it be D then ?

OpenStudy (anonymous):

-5+5

hartnn (hartnn):

hmm ? y <= |x-5| +5

OpenStudy (anonymous):

SO D

hartnn (hartnn):

yes.

OpenStudy (anonymous):

http://prntscr.com/12ccfe

OpenStudy (anonymous):

Its b

OpenStudy (anonymous):

@.Sam.

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