Answer:
x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
Step-by-step explanation:
1−2sin2 x≤−sin x ⇒ (2sin x+1)(sin x−1)≥0
sin x≤−1/2 or sin x≥1
−5π/6+2nπ≤x≤−π/6+2nπ or , n ϵ I x=(4n+1)π/2, n ϵ I⇒ -5π6+2nπ≤x≤-π6+2nπ or , n ϵ I x=4n+1π2, n ϵ I (as sin x = 1 is valid only)
In general⇒ In general x∈[2nπ−5π/6, 2nπ−π/6]∪{(4n+1)π/2}, n ϵ I
Answer:You haven't attached a picture but this is what your line should look like
Step-by-step explanation:
For this equation you simply have to graph it.
First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.
Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.
Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.
Hope this helps a bit,
Flips
Answer:the number of advance tickets sold is 35
the number of same day tickets sold is 40
Step-by-step explanation:
Let x represent the number of advance tickets sold.
Let y represent the number of same day tickets sold.
For one performance, there were 75 tickets sold in all. This means that
x + y = 75
Advance tickets cost $20 and same-day tickets cost $25. The total amount paid for them was $1700 both tickets. This means that
20x + 25y = 1700 - - - - - - - - - - - 1
Substituting x = 75 - y into equation 1, it becomes
20(75 - y) + 25y = 1700
1500 - 20y + 25y = 1700
- 20y + 25y = 1700 - 1500
5y = 200
y = 200/5 = 40
substituting y = 40 into x = 75 - y, it becomes
x = 75 - 40
x = 35
