X(a+b)-y(a+b)
*factor out (a+b)*
=(a+b)(x-y)
So there is an identity we'll need to use to solve this:
cos(x+y) = cosxcosy - sinxsiny
replace the numerator with the right hand side of that identity and we get:
(cosxcosy - sinxsiny)/cosxsiny
Separate the numerator into 2 fractions and we get:
cosxcosycosxsiny- sinxsiny/cosxsiny
the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:
cosy/siny - sinx/cosx
which simplifies to:
coty - tanx
Answer:
6m + 18 ≥ 42
Step-by-step explanation:
6m + 18 ≥ 42
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The correct answer is a. for very high x-values, f(x) moves towards positive infinity.
This can always be determined by two factors.
1) is it linear or something else?
2) Is the lead coefficient positive or negative.
In this case, since the x is not being raised to a power or is not raised to a power itself, we know that there are no asymptotes. That takes care of #1 for us.
As for #2, since the coefficient of x (which is the highest power here) is positive, that means it continues to get bigger. If it were negative it would be the opposite. So, the correct answer is that as x gets bigger, f(x) moves towards positive infinity.
