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:
The solution of the given equation is :
cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ
cosθ = -1 when θ = π + 2kπ
Since cos2θ + sin2θ = 1, sin2θ = 1 - cos2θ
So, the given equation is equivalent to 2(1 - cos2θ) - cosθ = 1
-2cos2θ - cosθ + 1 = 0
2cos2θ + cosθ - 1 = 0 (multiplying the entire equation by -1)
(2cosθ - 1)(cosθ + 1) = 0 (taking common)
cosθ = 1/2 or cosθ = -1 (on equating it to zero)
cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ
cosθ = -1 when θ = π + 2kπ
For more information about trigonometric ratios, visit
brainly.com/question/24496175
Step-by-step explanation:
perdon no entindo
1/3(12x-24)=16
3/1[1/3(12x-24)=16]
12x-24=48
+24 +24
12x=72
12x/12=72/12
X=6
I'm assuming you want to find the wind speed.
the ground speed against the wind is 410.
2460 / 6 = 410
the ground speed against the wind is 492.
2460 / 5 = 592
the difference is 82 mph, but you need to divide by 2 because speed is being added in one direction and subtracted in the other.
82 / 2 = 41
your final answer is 41 mph.
