Determine the value of f(-6), f(3/2), f(2c) and f(c+1), then simplify as much as possible
Question :
f(x) = 3x^2 - 4x

- anonymous

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- anonymous

@Aylin help please :D

- anonymous

Well, in the first two, just take the appropriate number and plug it in where x is. Then simplify it down.
For the third one (2c) replace x with 2c, then see what you get. Same for the fourth one.
The first two are plug'n'chug, but if you need help with the second two I'll stick around.

- anonymous

the second two, just plug it in to every x in the problem ?

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## More answers

- anonymous

Mhm. So f(2c) would like\[f(2c)=3 \times (2c)^{2}-4 \times (2c)\]

- anonymous

Ok let me try thanks!

- anonymous

ummm question

- anonymous

Yes?

- anonymous

kinda dumb question but for the first one f(-6)
i did
-6=3(-6)^2-4(-6)
-6=108+24
-6=132
then at this step do you add the 6 over or minus the 132 over ?? lol

- anonymous

it usually easier if one size has a (x)

- anonymous

Well, the left side is f(-6) not -6.
So when you get to f(-6)=132, you are finished with that part.

- anonymous

Since you've found the value in the range (132) that corresponds to the value of -6 in the domain.

- anonymous

i see

- anonymous

the second one i found is 3/4 hope its right

- anonymous

the third one i got: f(2c) = 4c

- anonymous

and do you divide the 2c over ?

- anonymous

I also got 3/4

- anonymous

cool :D

- anonymous

Well, with these problems you only need to simplify the right side, don't worry about the left side at all. In the third and fourth ones your answer will be in terms of c though.

- anonymous

so is my answer for the third one okay ?

- anonymous

Well, no.\[(2c)^{2}=4c^{2}\]and there is nothing in there to cancel it, so you should have a c^2 term.

- anonymous

how did you get 2c^2 on the left side ?

- anonymous

isn't it 2c ?

- anonymous

\[f(2c)=3(2c)^{2}-4(2c)\]and\[(2c)^{2}=4c^{2}\]so\[f(2c)=3 \times 4c^{2}-4(2c)\]

- anonymous

oh so you can't multiply the term -4 with 2c ?

- anonymous

You can, but I was leaving it for you to do. :P

- anonymous

ohhhh lol

- anonymous

at first i thought u can make (2c)^2 = 4c and just X 3 = 12c

- anonymous

i was wrong :|

- anonymous

Pretty close, just forgot the ^2 part of it. :P

- anonymous

u mean 12c^2 ?

- anonymous

Yep

- anonymous

but why ? :O isn't it already been done on the 2c^2 ?why ^2 another

- anonymous

@___@

- anonymous

Well\[(2c)^{2}\]is the same thing as\[2c \times 2c\]Does that make it more clear?

- anonymous

does that make 4c ?

- anonymous

and 4c x 3 = 12c lol ?

- anonymous

\[2c \times 2c = 4c^{2}\]

- anonymous

ohhh lol =___=

- anonymous

omg...my mind is somewhere else today....sorry

- anonymous

Mine is too, don't worry.

- anonymous

naw, your good :D

- anonymous

so once i got
f(2c) = 12c^2 - 8c
then what can i do next?

- anonymous

Well, at this point all of the same powers of c are together, so you're done.

- anonymous

what do you mean by "same powers of c are together" ? :d

- anonymous

Well, there's only one c^2 term and only one c term. You can't combine the c^2 and the c terms, so there is nothing left to do.

- anonymous

i see

- anonymous

the fourth one im stuck completely :D

- anonymous

Well, what is\[(c+1)^{2}\]?

- anonymous

(c+1)(c+1)

- anonymous

So FOIL it out! :P

- anonymous

ohh let see

- anonymous

c^2+2c+1 and i think u can factor it more right ?

- anonymous

Well, we don't want to factor it right now.
So now\[f(c+1)=3 \times (c^{2}+2c+1)-4 \times (c+1)\]Can you finish it from there?

- anonymous

kk hold on

- anonymous

i think it is : f(c+1)=3c^2 + 2c -1

- anonymous

Yep!

- anonymous

awesome! lol

- anonymous

so is that it ? o_0

- anonymous

Yep

- anonymous

cool!
thanks Aylin

- anonymous

You're welcome.

- anonymous

your really good in math :D
genius maybe?

- anonymous

Not really, I just want to teach math.

- anonymous

btw are you in college?

- anonymous

oh ! so your a teacher :D

- anonymous

wow! how lucky i am :D

- anonymous

Not yet. I'm a senior at RPI.

- anonymous

But next year I hope to be a teacher.

- anonymous

so your graduating next year ?

- anonymous

In May

- anonymous

oh wow, almost there!

- anonymous

how many years did you spend in RPI ?

- anonymous

The end of this year will make three years.

- anonymous

that's really quick wow

- anonymous

is this it ? "Rensselaer Polytechnic Institute" ?

- anonymous

Yeah. Not really very fast though; I spent two years at another school first.

- anonymous

I see, still not bad. I had a friend who spends 3 years at community college and transfer

- anonymous

what's the GPA for acceptance in RPI?

- anonymous

It was a community college that I came from, actually.
From another college or from high school?

- anonymous

another college

- anonymous

yeah, everybody is doing community college first now aday, cuz it's so much cheaper :D

- anonymous

Minimum is 3.0
Higher is better of course, but they also like it if you've been taking mostly science and math courses (or engineering if that's your major choice) if possible.

- anonymous

make sense.

- anonymous

well thanks so much for talking with me Aylin. I gotta get to dinner now :D

- anonymous

Like if you took a lot of math/science courses and made mostly Bs, it would look better than if you had made As taking mostly things like Art or Chorus or History

- anonymous

Bye

- anonymous

anything with science and math is better...and it's the subjects that im most terrible at. WOW..

- anonymous

well bye for now :d

- anonymous

Well, the other thing is that RPI is about $60000 a year right now, so...

- anonymous

your kidding me? no way

- anonymous

http://admissions.rpi.edu/aid/index.html

- anonymous

so how much for 1 semester of full time?

- anonymous

omg wow...

- anonymous

About half, but it depends on what your dining plan is, where you live, ect.

- anonymous

omg so much debts...well but it's COLLEGE that we're talking about here so no suprise.. :|

- anonymous

one time I read that article about this college couples graduated with over 200k debts
scared the hell out of me :|

- anonymous

I'm gonna have about $45K.

- anonymous

did they tell you about the rate? or how much you have to pay back once your graduated ?
I mean monthly?

- anonymous

At some point probably. I don't remember what it is right now.

- anonymous

oh i see, well i hope you can pay back all the debts without too much trouble :|

- anonymous

I should be able to.

- anonymous

Which year are you in?

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