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}.
__
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).
__
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) Is 90° because that's what the little square in the corner means.
2) Is 60° because if you take everything to the right of the vertical line and add them up, and then subtract the total from 180° you can find the missing angle.
3) Is 30° because if you use what's below the horizontal line and do the same thing as number 4 (add the existing angles together and subtract the total from 180) you can find the missing angle.
4) Is 20° because if you add the existing angles together (40° + 90° + 30°), you'll get 160°, and since the diagonal line that's separating everything from 40° to 30° looks as though it equals 180°, you'd subtract 160° from 180° in order to get the missing angle.
5) Is also 90° because the angle across from it (1) looks to be around the same size.
I solved for each in the following order:
1, 5, 4, 3, 2.
I hope this helps. Also please let me know if I got something wrong or if you still need help :)
Answer:
a. Maurice walked farther.
b. 0.62 m
Step-by-step explanation:
Maurice
4.1 × 1.8 = 7.38 miles
Junnie
2.5 × 3.2 = 8 miles
This shows that Junnie walked more than Maurice.
8 - 7.38 = 0.62
Junnie walked 0.62 m more than Maurice
Answer:
All three statements are true
Step-by-step explanation:
A shipping fee of 5% is charged online with every item purchased online
First let's just take each option and calculate them based on this, to see if the answers matched
Keith buys a 40 dollar book
40 x 0.05 = 2
Therefore there will be a two dollar fee on Keith's book
40 + 2 =42
The first statement is true
A chair costs $80
80 x 0.05 = 4
80 + 4 = 84
The second statement is true
George buys a 20 dollar calculator
20 x 0.05 = 1
20 + 1 = 21
The third statements are true
All three statements are true
