Two separate bacteria populations grow each month and are represented by the functions f(x) = 3x and g(x) = 7x + 6. In what month is the f(x) population greater than the g(x) population?
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OpenStudy (anonymous):
@sleepyjess
OpenStudy (anonymous):
@pooja195
jigglypuff314 (jigglypuff314):
well let's first figure out what month they might be equal
that would be f(x) = g(x)
or 3x = 7x + 6
can you solve for x from there?
OpenStudy (anonymous):
i don't think so
jigglypuff314 (jigglypuff314):
3x = 7x + 6
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OpenStudy (anonymous):
i think it would be after 2 months
jigglypuff314 (jigglypuff314):
oh wait...
\[f(x) = 3x ~or~ f(x) = 3^x\]
OpenStudy (anonymous):
the first one
jigglypuff314 (jigglypuff314):
then I don't think this question is right :-/
OpenStudy (anonymous):
it definitely is
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OpenStudy (anonymous):
Two separate bacteria populations grow each month and are represented by the functions f(x) = 3x and g(x) = 7x + 6. In what month is the f(x) population greater than the g(x) population?
Month 1
Month 2
Month 3
Month 4
jigglypuff314 (jigglypuff314):
I still don't think it's possible... sorry
OpenStudy (anonymous):
well if you had to guess what would it be
jigglypuff314 (jigglypuff314):
@inkyvoyd @imqwerty @ganeshie8 help
imqwerty (imqwerty):
\[f(x)=3x\]\[g(x)=7x+6\]\[g(x)=3x+4x+6\]
we know that 3x=f(x)\[g(x)=f(x)+4x+6\]
we can clearly see that g(x) will be greater than f(x)
what ever the value of f(x) be g(x) will have 4x+6 more add to it
so g(x)>f(x)
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imqwerty (imqwerty):
oh wait i didn't read the ques well
OpenStudy (anonymous):
so none of the answers are wrong?
imqwerty (imqwerty):
but nvm the ques is wrong if x is the number of week
OpenStudy (anonymous):
number of months
imqwerty (imqwerty):
yeah g(x) will be greater than f(x) no matter what
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OpenStudy (anonymous):
well then what should i put just 2 months or something
OpenStudy (error1603):
Never.
Even without the +6, 7x will always be greater than 3x, except if x is negative, which populations cannot be.
imqwerty (imqwerty):
u can also try the options to find out the populations
liek|dw:1447776432127:dw|
no where f(x) is greater than g(x)
OpenStudy (anonymous):
im sorry the 3x is supposed to be 3^x..... like an exponent
OpenStudy (error1603):
oooooh
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OpenStudy (anonymous):
lol sorry
imqwerty (imqwerty):
just try the options out
this is the easiest way
not much thinking not much time waste (B
OpenStudy (anonymous):
i think its 2 months
jigglypuff314 (jigglypuff314):
I asked you that ;-;
imqwerty (imqwerty):
thats wrong
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OpenStudy (anonymous):
sorry @jigglypuff314
imqwerty (imqwerty):
what did u do?
OpenStudy (anonymous):
idk lol i have no idea
OpenStudy (anonymous):
maybe 4
imqwerty (imqwerty):
(:
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imqwerty (imqwerty):
don't guess u shuld be sure about it
OpenStudy (anonymous):
was that right?
jigglypuff314 (jigglypuff314):
lol
try plugging in 1 for x
into 3^x
then into 7x + 6
and compare them
so that would be 3^1 = 3
and 7(1) + 6 = 13
13 > 3 so it can't be 1
you can keep on trying it for the rest of the options
imqwerty (imqwerty):
i'll not tell u if thats correct or not
OpenStudy (anonymous):
it is :)
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