The balance in two separate bank accounts grows each month at different rates. The growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x + 12. In what month is the f(x) balance greater than the g(x) balance?
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OpenStudy (anonymous):
can u help me @Shirley27
OpenStudy (shirley27):
Here, it would be an inequality of 2x > 4x +12
OpenStudy (anonymous):
so it would be 6
OpenStudy (shirley27):
solving it would look something like this:
2x > 4x + 12
-2x > 12
x < -6
except that doesn't seem right...
OpenStudy (anonymous):
why
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OpenStudy (shirley27):
you can't have negative months
OpenStudy (anonymous):
these are the answers
0mnths
1mnths
2mnths
3mnths
OpenStudy (anonymous):
and true
OpenStudy (anonymous):
hello are u still there
OpenStudy (shirley27):
hold on, i'm getting a graph
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OpenStudy (anonymous):
oh
OpenStudy (shirley27):
OpenStudy (anonymous):
so it would be 2
OpenStudy (shirley27):
the red is 2x and the blue is 4x + 12, the place where the red is above the blue is in the negative
OpenStudy (anonymous):
or 3
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OpenStudy (shirley27):
well, what does x represent? the month?
OpenStudy (anonymous):
correct
OpenStudy (shirley27):
is y the growth rate or the actual amount?
OpenStudy (anonymous):
i think so?
OpenStudy (shirley27):
If y was the growth rate and both accounts started at the same amount, then the answer should be 0?
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OpenStudy (anonymous):
oh i get where ur coming from
OpenStudy (anonymous):
thank
OpenStudy (anonymous):
its not 0
OpenStudy (shirley27):
oh, then i'm afraid I can't help you :(
OpenStudy (anonymous):
0h oh k
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OpenStudy (anonymous):
maybe it is not \[f(x)=2x\] could it be \[f(x)=2^x\]?
OpenStudy (anonymous):
because for positive numbers \(2x\) is always less than \(4x+12\)