Answer:
1. the range of f^-1(x) is {10, 20, 30}.
2. the graph of f^-1(x) will include the point (0, 3)
3. n = 8
Step-by-step explanation:
1. The domain of a function is the range of its inverse, and vice versa. The range of f^-1(x) is {10, 20, 30}.
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2. See above. The domain and range are swapped between a function and its inverse. That means function point (3, 0) will correspond to inverse function point (0, 3).
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3. The n-th term of an arithmetic sequence is given by ...
an = a1 +d(n -1)
You are given a1 = 2, a12 = 211, so ...
211 = 2 + d(12 -1)
209/11 = d = 19 . . . . . solve the above equation for the common difference
Now, we can use the same equation to find n for an = 135.
135 = 2 + 19(n -1)
133/19 = n -1 . . . . . . . subtract 2, divide by 19
7 +1 = n = 8 . . . . . . . . add 1
135 is the 8th term of the sequence.
Adjacent Angles<span> are </span>two angles<span> that share a </span>common vertex<span>, a </span>common side<span>, and no </span>common<span> interior points. (</span>They<span> share a </span>vertex<span> and </span>side<span>, but do not </span>overlap<span>.) A Linear Pair is </span>two<span> adjacent </span>angles<span> whose non-</span>common sides<span> form opposite rays
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A full circle = 360 degrees.
The sum of the shaded portions is : 60 + 55 + 45 = 160.
The probability would be the shaded portion divided by the full circle:
160 / 360 = 0.44
When you plug 2 in for x, the equation equals 1. The easiest way to go about this is solving the numerator then the denominator. The denominator was equal to 3 and the numerator was equal to 3, thus making 3/3. This equals 1.
