Carmelo bought an electric guitar for $240.00 during the yearly sale at Strings Music Store. He purchased the guitar for $75.00 less than one third of its original price. Choose the equation you would use to find the original price, x, of the guitar.
A. http://diagnostic.achievementseries.com/cdn//1/_graphics_math_14157f/3afe916b-4b85-44a9-a698-81329be92159.gif B. http://diagnostic.achievementseries.com/cdn//1/_graphics_math_14157g/aa52ebc0-a982-4f93-b592-69ac3902adf0.gif C. http://diagnostic.achievementseries.com/cdn//1/_graphics_math_14157e/8e691852-4fb4-4cf8-b265-12dbd4b6a5e7.gif D. http://diagnostic.achievementseries.com/cdn//1/_graphics_math_14157a/8dbafc4c-38cd-486d-90c1-0397db5331c1.gif
@jackmullen55 @Jaynator495
Hulk Doesnt Do Math x_x
awww
:( ok
@Michele_Laino
My question... how in the heck are you 70ss over night? LOL
Hint: If I call with x the original price of the guitar, then one third of the original price is: x/3 and $75 less than one third of the original price is : x/3 - 75
Just yesterday i was barfing rainbows on you being your new... next thing i know your already grown up LOL
the answer is C right @Michele_Laino
that's right!
can you help me with more and thanx
ok!
thanx
Factor completely. 42 + 51x - 18x² A. 6(3x + 1)(7 - x) B. (3x - 7)(2x - 2) C. 3(2 + 3x)(7 - 2x) D. 3(3x - 7)(2x - 2)
here we have to find the roots of the polynomial: \[18{x^2} - 51x - 42 = 0\]
ok
18^2=324
no, we have to apply this formula: \[\Large x = \frac{{ - b \pm \sqrt {{b^2} - 4 \times a \times c} }}{{2 \times a}}\] where a= 18, b=-51, and c= -42
\[x=\frac{ -51\pm \sqrt{-51^{2}- 4\times18\times-42} }{ 2*18 }\]
is that right
yes! \[x = \frac{{51 \pm \sqrt {{{51}^2} - \left( {4 \times 18 \times - 42} \right)} }}{{2 \times 18}}\]
now, we have: \[\Large \begin{gathered} x = \frac{{51 \pm \sqrt {{{51}^2} - \left( {4 \times 18 \times - 42} \right)} }}{{2 \times 18}} = \hfill \\ \hfill \\ = \frac{{51 \pm \sqrt {2601 + 3024} }}{{36}} = ...? \hfill \\ \end{gathered} \]
\[=\frac{51\pm5625 }{ 36 }\]
I got this: \[\begin{gathered} \frac{{51 \pm \sqrt {2601 + 3024} }}{{36}} = \frac{{51 \pm \sqrt {5625} }}{{36}} = \hfill \\ \hfill \\ = \frac{{51 \pm 75}}{{36}}...? \hfill \\ \end{gathered} \]
ok so wat kn
we have the subsequent roots: \[\Large \begin{gathered} {x_1} = \frac{{51 + 75}}{{36}} = \frac{{126}}{{36}} = \frac{7}{2} \hfill \\ \hfill \\ {x_2} = \frac{{51 - 75}}{{36}} = - \frac{{24}}{{36}} = - \frac{2}{3} \hfill \\ \end{gathered} \]
I came back and realized it was a different person who started yesterday... my bad x'D
is the answer c @Michele_Laino cuz i think so
in ordert o find the answer you have to do this computation: \[\Large \begin{gathered} - 18\left( {x - \frac{7}{2}} \right) \times \left( {x + - \frac{2}{3}} \right) = \hfill \\ \hfill \\ = - 3 \times 2\left( {x - \frac{7}{2}} \right) \times 3 \times \left( {x + \frac{2}{3}} \right) = ... \hfill \\ \end{gathered} \]
o shot i took to long on this question and it loged me out so nvm
Sorry, I have made a typo, here is the right step: \[\Large \begin{gathered} - 18\left( {x - \frac{7}{2}} \right) \times \left( {x + \frac{2}{3}} \right) = \hfill \\ \hfill \\ = - 3 \times 2\left( {x - \frac{7}{2}} \right) \times 3 \times \left( {x + \frac{2}{3}} \right) = ... \hfill \\ \end{gathered} \]
ur ok
yes!
hint: you have to multiply the factor 2 by the first parentheses, and then you have to multiply the factor 3 by the second parentheses
ok thanx ur a big help
you should get this: \[\Large \begin{gathered} - 18\left( {x - \frac{7}{2}} \right) \times \left( {x + \frac{2}{3}} \right) = \hfill \\ \hfill \\ = - 3 \times 2\left( {x - \frac{7}{2}} \right) \times 3 \times \left( {x + \frac{2}{3}} \right) = \hfill \\ \hfill \\ = - 3 \times \left( {2x - 7} \right) \times \left( {3x + 2} \right)... \hfill \\ \end{gathered} \]
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