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Here the points are(-3,-1) and (5,-1)
To find the average rate of change, we have to use the following formula .
Here x1 =-3, y1=-1, x2=5,y2=-1
So we get
Average rate of change=
So the average rate of change from x=-3 to x=5 is 0
Answer:
-23
Step-by-step explanation:
We note that as x increases by 36 from -72 to 36, y decreases by 24 from 25 to 1.
Increasing x from -36 by another 36 to zero will correspond to a decrease in y by another 24 from 1 to -23.
The y-intercept is -23.
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You could go to the trouble to use these observations to compute the slope as -24/36 = -2/3. Then you could pick one of the points and write the equation in point-slope form as ...
y = -2/3(x +36) +1 . . . point-slope form with m=-2/3, (h, k) = (-36, 1)
y = -2/3x -24 +1 . . . . . eliminate parentheses
y = -2/3x -23 . . . . . . . y-intercept is -23
Answer:
0.0091 = 0.91% probability that the ant ends up at point (2,5)
Step-by-step explanation:
What is needed to move from the point (0,0) to the point (2,5) after 10 moves:
5 moves of up by 1 unit.
2 moves of right by 1 unit.
10 - (5 + 2) = 3 standing still.
Probability:
2 moves of right by 1 unit, each with 0.3 probability.
5 moves of up by 1 unit, each with 0.2 probability.
3 standing still, each with 0.5 probability.
Number of ways this can happen:
Arrangments of 10 moves, with 2, 5 and 3 repetitions. So
Probability:
0.0091 = 0.91% probability that the ant ends up at point (2,5)