The average rate of change obtained from the ratio of change in y to the change in x is 27
The average rate of change can be obtained using the relation :
Rate of change = (y2 - y1) ÷ (x2 - x1)
at; x1 = -3
y1 can be calculated from the function ;
y1= 3(-3³)-1
y1=-82
At ; x2 = 3
y2 can be calculated from the function ;
y2 = 3(3³)-1
y2=80
The rate of change can be calculated thus : (y2 - y1) ÷ (x2 - x1)
[80-(-82)]/[3-(-6])
162/6
27
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Answer:
2/3
Step-by-step explanation:
rise over run is 2 over 3, and it is positive because the y increases as the x increases!
Answer:
P = 1 / 6
Step-by-step explanation:
Given:-
- A deck has 500 cards
- Numbered from 1-500
Find:-
you are asked to pick three cards, one at a time, what's the probability of each subsequent card being larger than the previous drawn card
Solution:-
- Suppose we draw three cards. We don't care what they actually are, irrespective of number.
- Let the three numbers be a, b, c: Such that:
a < b < c.
- The total possible combinations with 3 numbered cards will be:
a b c
b a c
a c b
b a c
b c a
c a b
- We have 6 possibilities for 3 numbered cards. So the probability of of each subsequent card being larger than the previous drawn card would be:
P = 1 / possible combinations
P = 1 / 6
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