Answer:
Affects
Step-by-step explanation:
Consider point (2,-1).
1. Reflect it in the line y=x, then the image point will have coordinates (-1,2). Now reflect it in the x-axis, then the image point will have coordinates (-1,-2).
2. Reflect the point (2,-1) in the x-axis. Its image is point (2,1). Reflect this point in the line y=x, then its image will be point (1,2).
Since images in 1st case and 2nd case differ, the order affects the final image.
x+2 > 10 solves to x > 8 after we subtract 2 from both sides
So set A is the set of real numbers that are larger than 8. The value 8 itself is not in set A. The same can be said about 5 as well.
Set B is the set of values that are larger than 5 since 2x > 10 turns into x > 5 after dividing both sides by 2. The value x = 5 is not in set B since x > 5 would turn into 5 > 5 which is false. The values x = 6, x = 8, and x = 9 are in set B.
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Summarizing everything, we can say...
5 is not in set A. True
5 is in set B. False
6 is in set A. False
6 is not in set B. False
8 is not in set A. True
8 is in set B. True
9 is in set A. True
9 is not in set B. False
Answer:
6 socks
Step-by-step explanation:
What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.
There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:
12/24
and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:
11/23
the final probability is the multiplication of these events:
(12/24) * (11/23)
P = 0.24
Now, to know how many you should get, we multiply the probability by the total number of socks, that is:
0.24 * 24 = 5.76
So you must take out at least 6 socks for the above to happen.
Answer:
1/5
Step-by-step explanation:
pick any points, for example (6, -1) and (11, 0)
slope is m= (y2-y1) / (x2-x1) = -1-0 / 6-11 = -1 / -5 = 1/5