Answer:
The probability is 1/254,251,200
Step-by-step explanation:
We proceed as follows;
Firstly, we are selecting 5 state capitals out of 50. The number of ways we can do this is 50P5 = 50!/5!(50-5)! = 254,251,200 ways
Now, out of this number of ways , only one route is desired in that particular order.
This means the probability of having the route scheduled in that particular order would be;
1/254,251,200
Answer:
75%
Step-by-step explanation:
as a percent = 75%, or 0.75 in decimal form.
Answer:
7:
A: This rotation can be described as a 90 degree rotation counterclockwise, or a 270 degree rotation clockwise about the point x = 1.
B: A'(3,1), B'(2,3), C'(-1,4)
8:
A: This rotation could be described as a 180 degree clockwise and counterclockwise rotation.
B: This translation can also be a reflection across the y-axis.
9: A reflection across the x or y-axis will preserve the figure.
10: The coordinates would be (-3,2).
11: 90 degrees clockwise
12: 180 degrees counterclockwise
13: 90 degrees counterclockwise
Answer:
(g•f)(x) = x.
Step-by-step explanation:
Let 
, then the inverse function of the f(x) is 
So, (g•f)(x) = ![g[f(x)] = g(x^{2} + 1 ) = \sqrt{(x^{2} + 1) - 1} = \sqrt{x^{2} } = x](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%20%3D%20g%28x%5E%7B2%7D%20%2B%201%20%29%20%3D%20%5Csqrt%7B%28x%5E%7B2%7D%20%2B%201%29%20-%201%7D%20%3D%20%5Csqrt%7Bx%5E%7B2%7D%20%7D%20%3D%20x)
Therefore, we can write if f(x) and g(x) are inverse functions of each other, then (g•f)(x) = x.
Hence, option D is correct. (Answer)
Answer:
2(6x-2)-1
Explanation:
Plug in g(x) for x
