X->inf is the right side of the graph and you can see that y is decreasing. this is represented by option 1.
x->-inf is the left side of the graph and you can see that y is also decreasing. this is represented by option 2.
"n choose k" gives you the number of possible unique combinations...
n!/(k!(n-k)!)
n=number of elements to choose from and k=the number of elements that you choose...in this case:
7!/[2!(7-2)!]
7!/[2!5!]
21
There are 21 possible different two question combinations that she can pick.
Answer:
2 lessons per day for 27 days and 3 lessons a day for 4 days.
Step-by-step explanation:
66/31 = 2 4/31
Since 66 divided by 31 is 2 with remainder 4, you need to do 31 days of 2 lessons per day. To do the extra 4 lessons, do one more lesson per day for 4 of those days.
That results in:
2 lessons per day for 27 days and 3 lessons a day for 4 days.
Check:
2 lessons a day for 27 days = 2 * 27 = 54
3 lessons a day for 4 days = 3 * 4 = 12
54 + 12 = 66
If you do 2 lessons a day for 27 days and 3 lessons a day for 4 days, you will do the 66 lessons.
Step-by-step explanation:
y=mx+b (m is the slope, b is the y-intercept)
To come with sope choose two points from the graph (6,20), (4,30)
Then
m=(Y2-Y1)/(X2-X1) =(4-6)/(30-20)=-1/5
b= 50 (y-intercept)
SO y=-1/5x-50
I hope this helps
The value of x in the triangle is (a) 22
<h3>How to solve for x?</h3>
The complete question is in the attached image.
From the attached image of the triangle, we have:

Evaluate sin(45)

Solve for x

Divide
x = 22
Hence, the value of x is (a) 22
Read more about special triangles at:
brainly.com/question/654982
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