anonymous
  • anonymous
I want to know if i am rite 4. The total consumption of fossil fuels in the United States per year can be represented by the function C(x) = 0.0439x3 – 1.4911x2 + 14.224x + 41.76, where x is the number of years after 1970, and C(x) represents the amount of energy consumed in quadrillions of BTUs (or “quads”). In 1979, the U.S. consumed 81 quads of energy. Subtract C(x) – 81 and write down the resulting function. Since you know that 9 is a root of this function, find the other two roots. In what year after 1979 did the U.S. consumption of energy also reach 81 quads?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
looks good to me. want the computation?
anonymous
  • anonymous
can you work this problem out?
anonymous
  • anonymous
well except it is not what i get

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anonymous
  • anonymous
bare with me, i going write i have so far
anonymous
  • anonymous
let me try again and make sure i have it correct
anonymous
  • anonymous
C(x) = 0.0439x3 – 1.4911x2 + 14.224x + 41.76
anonymous
  • anonymous
so what you do is, substract 81 from 41.79
anonymous
  • anonymous
\[C(x)=.0439x^3-1.4991x^2+14.224x+41.76\] is that right?
anonymous
  • anonymous
i mean before you subtract is that correct?
anonymous
  • anonymous
you going have c(c) 0.0439x^3-1.4911x^2+14.224-39.28 now you use syntethic divicion, we know 9 is a root of this function
anonymous
  • anonymous
yes that would be correct. if C(9) = 81
anonymous
  • anonymous
9] 0.0439 -1.4911 +14.224 -39.28
anonymous
  • anonymous
but it doesn't seem to be according to my calculation let me check again
anonymous
  • anonymous
no the first question
anonymous
  • anonymous
when you do syntethic division, you get 0
anonymous
  • anonymous
then you are correct!
anonymous
  • anonymous
and teh giving you an extreme equation, and know you can find both root, 0.0439^2-1.096x+8.36
anonymous
  • anonymous
you did the syntethinc division, and you got 0, correct?
anonymous
  • anonymous
you did the syntethinc division, and you got 0, correct?
anonymous
  • anonymous
you did the syntethinc division, and you got 0, correct?
anonymous
  • anonymous
must be typing something in wrong because i do not get zero
anonymous
  • anonymous
ok , type what you doing
anonymous
  • anonymous
close, but i get C(9)=-.04 but that is probably close enough. you get 0 exactly?
anonymous
  • anonymous
so you get 0?
anonymous
  • anonymous
close to 0 , is not enough..
anonymous
  • anonymous
ooho i see
anonymous
  • anonymous
41.76-81=-39.24 not -39.28
anonymous
  • anonymous
le't try it again, 9] 0.0439 -1.4911 +14.224 +39.28
anonymous
  • anonymous
last number should be 39.24
anonymous
  • anonymous
use your calculator, i dont knohere mine is
anonymous
  • anonymous
then it will work
anonymous
  • anonymous
i did and it works
anonymous
  • anonymous
oh good, oh graph, yeah is -39.24, i thought it was an 8
anonymous
  • anonymous
whew. then you get 0 i checked already
anonymous
  • anonymous
get \[0.04390*x^2-1.096x+4.36\]
anonymous
  • anonymous
yeah, now what, guadratic formula?
anonymous
  • anonymous
yes what a pain. hold on and i will cheat if you like
anonymous
  • anonymous
lol
anonymous
  • anonymous
ikr, better then factoring at least...
anonymous
  • anonymous
looks like x=20 or x = 4.966 rounded
anonymous
  • anonymous
a miracle. 20 is exact!
anonymous
  • anonymous
so going back to the problem, those are the root, you did quadratic formula?lol
anonymous
  • anonymous
we must bei n the right tract
anonymous
  • anonymous
so it must factor as \[(x-20)(.0439x-.218)\]
anonymous
  • anonymous
no i didn't use the quadratic formula because i would have no patience for that
anonymous
  • anonymous
i used maple
anonymous
  • anonymous
lol, so wee know both root that were missing, the is really the aswner?
anonymous
  • anonymous
yup that is it
anonymous
  • anonymous
just changing them to word, and the will do it, thx man.
anonymous
  • anonymous
must be. you can check easily (more or less) that 20 is a zero of \[.0439x^2-1.096x+4.36\] so as you know it must factor as \[(x-20)(something)\] and you have no choice for the something
anonymous
  • anonymous
good luck
anonymous
  • anonymous
oh crap, we are not,done, remember it ask you in qhat yesterday,
anonymous
  • anonymous
oh crap, we are not,done, remember it ask you in qhat yesterday,
anonymous
  • anonymous
oh crap, we are not,done, remember it ask you in qhat yesterday,
anonymous
  • anonymous
oh crap, we are not,done, remember it ask you in qhat yesterday,
anonymous
  • anonymous
oh crap, we are not,done, remember it ask you in qhat yesterday,
anonymous
  • anonymous
lol, lagg, year*
anonymous
  • anonymous
lol, lagg, year*
anonymous
  • anonymous
you still here?

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