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28.06.2021 •
Mathematics
2+ + 3 = 3-5
If the equation is solved using successive approximation, select the value of x after the following iterations.
1 iteration: x=
2 iteration: x=
3 iteration: x =
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Ответ:
The function rule is y = (2/3)x - 5.
Step-by-step explanation:
Let's assume for now that the function is a linear one. Then y = mx + b.
As we move from (0, -5) to (3, -3), x increases by 3 and y increases by 2.
Thus, the slope of this line is m = rise / run = 2/3.
Then our y = mx + b becomes y = (2/3)x + b, or -5 = (2/3)(0) + b.
Thus, b = -5, and the equation is y = (2/3)x - 5.
Now let's check this result. When x = 6, does the equation predict y = -1?
y = (2/3)(6) - 5 = 4 - 5 = -1. YES
The function rule is y = (2/3)x - 5.