Mathematics
7 Online
OpenStudy (anonymous):
4-c/2c-8
Please show all work, and state any excuded values
Join the QuestionCove community and study together with friends!
Sign Up
Parth (parthkohli):
\[4 - c = -(c - 4)\]Right?
OpenStudy (anonymous):
idk..
OpenStudy (anonymous):
is it like this
\[\Large \frac{ 4-c }{ 2c }-8\]
??
OpenStudy (anonymous):
No like this @kausarsalley \[\frac{ 4-c }{ 2c-8 }\]
OpenStudy (jhannybean):
factor out a 2 at the bottom...so you'd have
(4- c)/2(c - 4)
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
so like \[\frac{ 4c }{ 2(c-4) }\]
OpenStudy (jhannybean):
now you have to find the zeroes?
OpenStudy (anonymous):
Hmm?
OpenStudy (jhannybean):
no it would look like \[\large \frac{4-c}{2(c-4)}\]
OpenStudy (anonymous):
ooh oops i forgot the minus
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
ok now what?
OpenStudy (jhannybean):
for excluded values, equal the numerator and denominator to 0 and solve for c.
OpenStudy (anonymous):
Ok factoring, right?
Parth (parthkohli):
\[\dfrac{4 - c}{2(c - 4)}\]can be simplified
OpenStudy (anonymous):
Oh yea...distribute
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
so
\[\frac{ 4-c }{ 2c-8 }\]
OpenStudy (anonymous):
?
Parth (parthkohli):
Uh no.\[\dfrac{4 - c}{2(c -4)} = \dfrac{-(c - 4)}{2(c - 4)}\]
OpenStudy (jhannybean):
well the negative......
OpenStudy (anonymous):
Ok..why don't you distribute..?
Join the QuestionCove community and study together with friends!
Sign Up
Parth (parthkohli):
Why would we distribute? That just gets us back to the original question lol
OpenStudy (anonymous):
oh yea
OpenStudy (jhannybean):
Because like he showed above, those can cancel out, leaving you with -1 ontop.
OpenStudy (anonymous):
so what we are doing is un-distributing...kinda?
OpenStudy (jhannybean):
we've already un-distributed haha
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (jhannybean):
we're....re-simplifying.
Parth (parthkohli):
We're factorizing.
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so after -(c-4)/2(c-4) what would it be?
OpenStudy (jhannybean):
what does (c-4)/(c-4) = ?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
they cancel out
OpenStudy (jhannybean):
so what's left over?
OpenStudy (anonymous):
so you are left with 2 does not equal -1?
OpenStudy (anonymous):
?
OpenStudy (anonymous):
:D was i right?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@Jhannybean
OpenStudy (jhannybean):
\[\large -\frac{\cancel{(c-4)}}{2\cancel{(c-4)}}=-\frac{1}{2}\]
OpenStudy (anonymous):
Ohhh that makes so much sense :D I love you (lol like a sister )
OpenStudy (anonymous):
ok what is theexcuded value
OpenStudy (anonymous):
is it c doesnt equal -1/2? @jhannybean
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
\[c \neq-\frac{ 1 }{ }\]
OpenStudy (anonymous):
\[c \neq-\frac{ 1 }{ 2 }\]***
OpenStudy (anonymous):
?
OpenStudy (anonymous):
@jh
OpenStudy (anonymous):
@Jhannybean ***
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (jhannybean):
Hm... not too sure.
OpenStudy (anonymous):
actually its \[c \neq4\]