3, 9, 15, ... Find the 45th term.
2 answers:
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Answer:
<u>Given function</u>
- h(x) = 2x - 1
#15 Find the inverse of h(x)
<u>Substitute x with y and h(x) with x and solve for y:</u>
- x = 2y - 1
- 2y = x + 1
- y = 1/2x + 1/2
<u>The inverse is:</u>
- h⁻¹(x) = 1/2x + 1/2
#16 The graph with both lines is attached.
The x- and y-intercepts of both functions have reversed values.
#17 Table of the inverse function will contain same numbers with swapped domain and range.
<u>Initial look is like this:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | | 0 | | 1 | | 2
<u>The rest of the table is filled in by finding the values:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2
What we know here is that all 2500 shares together are worth 100 000 dollars in total. (it's 100 000.00 actually, but we can ignore the part after the point, as it's equal to 0).
This means that each of the shares is valid the whole sum divided by the number of shares, that is:
(first i divided both denominator and numerator by 100)
So each value is worth 40 dolars.
This means that each of the shares is valid the whole sum divided by the number of shares, that is:
(first i divided both denominator and numerator by 100)
So each value is worth 40 dolars.