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Mathematics 5 Online
OpenStudy (anonymous):

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OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

I picked C am i correct?

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (anonymous):

If not, what is the correct answer, and why? Thanks

OpenStudy (michele_laino):

we can simplify your function. For example, we can factor out 9 at numerator and 3 at denominator, so we can write this: \[\Large \frac{{9{x^2} + 9x - 18}}{{3x + 6}} = \frac{{9\left( {{x^2} + x - 2} \right)}}{{3\left( {x + 2} \right)}}\]

OpenStudy (anonymous):

okay i get it so far....

OpenStudy (michele_laino):

can you simplify that expression further?

OpenStudy (anonymous):

Need a bit of help

OpenStudy (michele_laino):

ok! try please

OpenStudy (anonymous):

kk doin it now...

OpenStudy (michele_laino):

we have to factorize the numerator

OpenStudy (anonymous):

9 (x-1) (x+2)

OpenStudy (michele_laino):

in order to do that, we have to find two numbers such that their sum is -1 and their product is -2

OpenStudy (michele_laino):

can you find them?

OpenStudy (anonymous):

9 (x-1) (x+2)

OpenStudy (michele_laino):

ok! sorry,then the simplified expression of our function is: \[\Large \begin{gathered} \frac{{9{x^2} + 9x - 18}}{{3x + 6}} = \frac{{9\left( {{x^2} + x - 2} \right)}}{{3\left( {x + 2} \right)}} = \hfill \\ \hfill \\ = \frac{{9\left( {x + 2} \right)\left( {x - 1} \right)}}{{3\left( {x + 2} \right)}} = 3\left( {x - 1} \right) \hfill \\ \end{gathered} \]

OpenStudy (anonymous):

k

OpenStudy (michele_laino):

namely we have to search for the graph of the function: y= 3x-3

OpenStudy (anonymous):

so the slope is 3 right?

OpenStudy (michele_laino):

correct!

OpenStudy (anonymous):

and the y intercept is -3?

OpenStudy (michele_laino):

right!

OpenStudy (anonymous):

so its D?

OpenStudy (michele_laino):

if I set y=0, then I get x=1, so our line has to pass at point (1,0)

OpenStudy (anonymous):

SO its D

OpenStudy (michele_laino):

furthermore if I set x=2 then I get y=3, so correct!! :)

OpenStudy (anonymous):

kk thanks can u help me with a couple more?

OpenStudy (michele_laino):

I'm very sorry I have to go to sleep now, since it is 00:20 (Italy time zone) from me

OpenStudy (anonymous):

ah okay well then goodnight from the United States!

OpenStudy (michele_laino):

thanks!! from Italy :)

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