This is an example of a piecewise defined function. It means that the function has not a unique formula to represent it, but it depends on "where" you want to compute it.
So, if you choose any input
, you have two alternative:
- If
(i.e., if you've chosen any input that is not 3), the output will be the opposite of the input you've chosen (
) - If
, the ouput will be -1.
So, let's forget about
for a moment. For any input
you choose, the answer is
. The graph of this function is the bisector of the second and fourth quadrant.
Now remember that there is our special case: you have to "carve a hole" in our line, at
, and assing to this point the value -1, instead of what we would expect, i.e. -3.
So, the graph of this function is the line
, except for one point (
), where we reassign the value to be -1.
As a fraction it is 16/9 and for a decimal it is 1.7777 repeating
Given:
28/36 ratio
annual income: 86,250
28+36 = 64
28/64 * 86,250 = 0.4375 * 86,250 = 37,734.375
36/64 * 86,250 = 0.5625 * 86,250 = 48,515.625
28/36 ⇒ 37,734.375/48,515.625
Answer:
y = -2/3x + 16/3
Step-by-step explanation:
y = -2/3x + b
4 = -2/3(2) + b
4 = -4/3 + b
16/3 = b
Answer:
6.813·10^7
Step-by-step explanation:
Multiplying 0.0000006813 by 10^7 will move the decimal point 7 places to the right, resulting in 6.813.
Conversely, multiplying 6.813 will move the decimal point 7 places to the left, producing the original decimal fraction.
Therefore,
0.0000006813 = 6.813·10^7