Answer:
(4) /-12/__<_/12/
Step-by-step explanation:
assuming you owe me #12 and you have no money with you at ur side is -12 but if u have #12 abd you didn't owe anybody any amount so the #12 is for you
4/6 or 2/3. All you need to do is add the amount of blue and red sides from the cube and divide it by the total number of sides on a cube.
You can also say 66%
Hope this helps!! :)
It looks like the given equation is
sin(2x) - sin(2x) cos(2x) = sin(4x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)
Move everything over to one side and factorize:
sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0
sin(2x) - 3 sin(2x) cos(2x) = 0
sin(2x) (1 - 3 cos(2x)) = 0
Then we have two families of solutions,
sin(2x) = 0 or 1 - 3 cos(2x) = 0
sin(2x) = 0 or cos(2x) = 1/3
[2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
(where n is any integer)
[2x = 2nπ or 2x = π + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
[x = nπ or x = π/2 + nπ]
… … … or [x = 1/2 arccos(1/3) + nπ or x = -1/2 arccos(1/3) + nπ]
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
83÷31
Applying the fractions formula for division,
=8×13×3
=89
=89
Answer:
Step-by-step explanation:
Given function f(x) = 3x + 2
The inverse of f(x) is f⁻¹(x)
Follow the steps below to solve for f⁻¹(x).
1. Replace function f(x) with function y in the given equation
y = 3x + 2
2. Interchange the variables
x = 3y - 2
3. Solve for y
3y = x + 2
4. Replace y with f⁻¹(x)
