anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@Aylin help please :D
anonymous
  • 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
  • anonymous
the second two, just plug it in to every x in the problem ?

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anonymous
  • anonymous
Mhm. So f(2c) would like\[f(2c)=3 \times (2c)^{2}-4 \times (2c)\]
anonymous
  • anonymous
Ok let me try thanks!
anonymous
  • anonymous
ummm question
anonymous
  • anonymous
Yes?
anonymous
  • 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
  • anonymous
it usually easier if one size has a (x)
anonymous
  • 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
  • anonymous
Since you've found the value in the range (132) that corresponds to the value of -6 in the domain.
anonymous
  • anonymous
i see
anonymous
  • anonymous
the second one i found is 3/4 hope its right
anonymous
  • anonymous
the third one i got: f(2c) = 4c
anonymous
  • anonymous
and do you divide the 2c over ?
anonymous
  • anonymous
I also got 3/4
anonymous
  • anonymous
cool :D
anonymous
  • 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
  • anonymous
so is my answer for the third one okay ?
anonymous
  • 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
  • anonymous
how did you get 2c^2 on the left side ?
anonymous
  • anonymous
isn't it 2c ?
anonymous
  • anonymous
\[f(2c)=3(2c)^{2}-4(2c)\]and\[(2c)^{2}=4c^{2}\]so\[f(2c)=3 \times 4c^{2}-4(2c)\]
anonymous
  • anonymous
oh so you can't multiply the term -4 with 2c ?
anonymous
  • anonymous
You can, but I was leaving it for you to do. :P
anonymous
  • anonymous
ohhhh lol
anonymous
  • anonymous
at first i thought u can make (2c)^2 = 4c and just X 3 = 12c
anonymous
  • anonymous
i was wrong :|
anonymous
  • anonymous
Pretty close, just forgot the ^2 part of it. :P
anonymous
  • anonymous
u mean 12c^2 ?
anonymous
  • anonymous
Yep
anonymous
  • anonymous
but why ? :O isn't it already been done on the 2c^2 ?why ^2 another
anonymous
  • anonymous
@___@
anonymous
  • anonymous
Well\[(2c)^{2}\]is the same thing as\[2c \times 2c\]Does that make it more clear?
anonymous
  • anonymous
does that make 4c ?
anonymous
  • anonymous
and 4c x 3 = 12c lol ?
anonymous
  • anonymous
\[2c \times 2c = 4c^{2}\]
anonymous
  • anonymous
ohhh lol =___=
anonymous
  • anonymous
omg...my mind is somewhere else today....sorry
anonymous
  • anonymous
Mine is too, don't worry.
anonymous
  • anonymous
naw, your good :D
anonymous
  • anonymous
so once i got f(2c) = 12c^2 - 8c then what can i do next?
anonymous
  • anonymous
Well, at this point all of the same powers of c are together, so you're done.
anonymous
  • anonymous
what do you mean by "same powers of c are together" ? :d
anonymous
  • 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
  • anonymous
i see
anonymous
  • anonymous
the fourth one im stuck completely :D
anonymous
  • anonymous
Well, what is\[(c+1)^{2}\]?
anonymous
  • anonymous
(c+1)(c+1)
anonymous
  • anonymous
So FOIL it out! :P
anonymous
  • anonymous
ohh let see
anonymous
  • anonymous
c^2+2c+1 and i think u can factor it more right ?
anonymous
  • 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
  • anonymous
kk hold on
anonymous
  • anonymous
i think it is : f(c+1)=3c^2 + 2c -1
anonymous
  • anonymous
Yep!
anonymous
  • anonymous
awesome! lol
anonymous
  • anonymous
so is that it ? o_0
anonymous
  • anonymous
Yep
anonymous
  • anonymous
cool! thanks Aylin
anonymous
  • anonymous
You're welcome.
anonymous
  • anonymous
your really good in math :D genius maybe?
anonymous
  • anonymous
Not really, I just want to teach math.
anonymous
  • anonymous
btw are you in college?
anonymous
  • anonymous
oh ! so your a teacher :D
anonymous
  • anonymous
wow! how lucky i am :D
anonymous
  • anonymous
Not yet. I'm a senior at RPI.
anonymous
  • anonymous
But next year I hope to be a teacher.
anonymous
  • anonymous
so your graduating next year ?
anonymous
  • anonymous
In May
anonymous
  • anonymous
oh wow, almost there!
anonymous
  • anonymous
how many years did you spend in RPI ?
anonymous
  • anonymous
The end of this year will make three years.
anonymous
  • anonymous
that's really quick wow
anonymous
  • anonymous
is this it ? "Rensselaer Polytechnic Institute" ?
anonymous
  • anonymous
Yeah. Not really very fast though; I spent two years at another school first.
anonymous
  • anonymous
I see, still not bad. I had a friend who spends 3 years at community college and transfer
anonymous
  • anonymous
what's the GPA for acceptance in RPI?
anonymous
  • anonymous
It was a community college that I came from, actually. From another college or from high school?
anonymous
  • anonymous
another college
anonymous
  • anonymous
yeah, everybody is doing community college first now aday, cuz it's so much cheaper :D
anonymous
  • 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
  • anonymous
make sense.
anonymous
  • anonymous
well thanks so much for talking with me Aylin. I gotta get to dinner now :D
anonymous
  • 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
  • anonymous
Bye
anonymous
  • anonymous
anything with science and math is better...and it's the subjects that im most terrible at. WOW..
anonymous
  • anonymous
well bye for now :d
anonymous
  • anonymous
Well, the other thing is that RPI is about $60000 a year right now, so...
anonymous
  • anonymous
your kidding me? no way
anonymous
  • anonymous
http://admissions.rpi.edu/aid/index.html
anonymous
  • anonymous
so how much for 1 semester of full time?
anonymous
  • anonymous
omg wow...
anonymous
  • anonymous
About half, but it depends on what your dining plan is, where you live, ect.
anonymous
  • anonymous
omg so much debts...well but it's COLLEGE that we're talking about here so no suprise.. :|
anonymous
  • anonymous
one time I read that article about this college couples graduated with over 200k debts scared the hell out of me :|
anonymous
  • anonymous
I'm gonna have about $45K.
anonymous
  • anonymous
did they tell you about the rate? or how much you have to pay back once your graduated ? I mean monthly?
anonymous
  • anonymous
At some point probably. I don't remember what it is right now.
anonymous
  • anonymous
oh i see, well i hope you can pay back all the debts without too much trouble :|
anonymous
  • anonymous
I should be able to.
anonymous
  • anonymous
Which year are you in?

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