3x +2= 5x
-3x
2= 2x
/2
1= x
So first I got all the x’s on one side and the whole numbers on the other side. So we had 2 on one side and 2x on the other. From there we divided by the number of x’s which was 2 so we can get one x only. So 2/2= 1 so x =1
Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
Answer:
Each blue box weighs 22.8 ounces
Step-by-step explanation:
Answer:
2nd graph (image)
Step-by-step explanation:
The function to graph is:

It follows the general pattern of the function:
, which is general shape and in 1st and 3rd quadrants. So, we can eliminate 3rd and 4th choices (because of quadrants).
The answer is either 1st, or 2nd graph.
Now, we simply can check a point in both.
lets take x = 4, so the function would be:
f(4) = 4/4 = 1
Hence, point is:
(4,1)
The first graph doesn't go through this point. The second graph does.
hence, we can successfully choose the 2nd graph as our answer.