Fiona spent $13.70 to travel across the city in a taxi. It cost her $3.25 to get the taxi and $2.75 each mile she traveled. Writ
2 answers:
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Answer:
Since it has smaller absolute and relative errors, 355/113 is a better aproximation for than 22/7
Step-by-step explanation:
The formula for the absolute error is:
Absolute error = |Actual Value - Measured Value|
The formula for the relative error is:
Relative error = |Absolute error/Actual value|
I am going to consider the actual value of as 3.14159265359.
In the case of 22/7:
22/7 = 3.14285714286.
Absolute error = |3.14159265359 - 3.14285714286| = 0.00126448927
Relative error = 0.00126448927/3.14159265359 = 0.00040249943 = 0.04%
In the case of 355/113
355/113 = 3.14159292035
Absolute error = |3.14159265359 - 3.14159292035| = 0.00000026676
Relative error = 0.00000026676/3.14159265359 = 0.000000085 = 0.0000085%
Since it has smaller absolute and relative errors, 355/113 is a better aproximation for than 22/7
Answer:
(1, -1), (5, -3)
Step-by-step explanation:
It is convenient to graph the solution space and plot the points.
You can also try the points in the inequality one by one (or all together).
_____
Here is the "all together" trial.
... {-3, 12, -2, -1, -3} - 2×{-6, 7, 0, 1, 5} ≤ -3 . . . . . use lists for x and y values
... {-3, 12, -2, -1, -3} - {-12, 14, 0, 2, 10} ≤ -3 . . . . multiply the x list by 2
... {9, -2, -2, -3, -13} ≤ -3 . . . . . . . . . . . . . . . . . . . . perform the subtraction
The inequality is true for the last two values, corresponding to points ...
... (1, -1) and (5, -3)
