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.
Answer:
1. 72
2. 60
3. 35
4. 32
Step-by-step explanation:
1. 6 x 4 x 3= 72
2. 5 x 3 x 4= 60
3. 5 x 2 x 2= 20
5 x 3 x 1= 15
20 + 15= 35
4. 5 x 3= 15
2 x 2=4
4 x 8= 32
If the area of the paper is 625 sq in, the length of one side of this square is sqrt(625 sq in), or 25 inches. That's the min. side length of an easel that is to support the whole sheet of paper along its lowest side.
Answer:
A.3/7
Step-by-step explanation:
1/2 - 1/14
We need to get a common denominator of 14
1/2 * 7/7 = 7/14
7/14 - 1/14 = 6/14
We can simplify by dividing the top and bottom by 2
3/7
Answer:
It a simultaneous equation so the solution is 2
Step-by-step explanation:
