Answer:
See below
Step-by-step explanation:
a. here you are to multiply the two functions together:

b. here you are to subtract g from f:

c. here you are to compose g into f. In other words, pick up the whole g function and plug it into f wherever you see an x:

d. here you are compose f into g. In other words, pick up the whole f function and plug it into g wherever you see an x:

You now have to FOIL out the (3x-1) like so:
![2[(3x-1)(3x-1)]](https://tex.z-dn.net/?f=2%5B%283x-1%29%283x-1%29%5D)
which gives you

Distribute in the 2 and you'll end up with the answer:

Not enough info
i need more info
que?
The answer is 30.
First off, the numbers are consecutive even numbers. So, the difference between every consecutive number is 2 (numbers go from even to odd to even to odd...). Since the sum of their numbers is 96, I divided that by 3 to get 32. This gives me the median of the three numbers. To find the smallest number, I simply subtracted 2 from the 32.
This may help:
96/3=32
32 + 32 + 32 = 96
(32-2)+(32+0)+(32+2)=96
30+32+34=93
Answer:
Step-by-step explanation:
The idea here is to get the left side simplified down so it is the same as the right side. Consequently, there are 3 identities for cos(2x):
,
, and

We begin by rewriting the left side in terms of sin and cos, since all the identities deal with sines and cosines and no cotangents or cosecants. Rewriting gives you:

Notice I also wrote the 1 in terms of sin^2(x).
Now we will put the numerator of the bigger fraction over the common denominator:

The rule is bring up the lower fraction and flip it to multiply, so that will give us:

And canceling out the sin^2 x leaves us with just
which is one of our identities.
Answer:
Kayla = $20.14
Michael = $19.08
The Difference = 1.06
Step-by-step explanation:
<em><u>How to solve.</u></em>
First, you need to add up how much Kayla is paying for the video game, plus the 6% tax.
19.00 + 6% = 20.14
Then, you need to do the same with Michael's.
18.00 + 6% = 19.00
To find the difference between how much Kayla and Michael paid for their items, you need to subtract their total.
20.14 - 19.00 = 1.06
and the nearest cent would be 1.10.
<u><em>I hope this helped</em></u>.<em><u>!</u></em>