The average rate of change of a function f(x) over some interval [a, b] is the difference quotient,
which corresponds to the slope of the line connecting the points (a, f(a)) and (b, f(b)) in the graph of f(x).
Given f(x) = 3x² - x³ (correct me if I'm wrong, the exponents look cut off in your screenshot), the average rate of change on [1, 5] is
Answer:
The coordinates of A' are (6,6).
Step-by-step explanation:
It is given that in triangle ABC, A = (-1, 3), B = (1, - 1) and C = (2, 2).
If a point is rotated 90 ° clockwise about the point ( a,b ), then
It is given that the triangle is rotated 90 ° clockwise about the point ( 4, 1 ). So, a=4 and b=1.
The coordinates of A are (-1,3), So, the coordinates of A' are
Therefore the coordinates of A' are (6,6).
The number of ways to choose the colors is 36
<h3>How to determine the number of ways?</h3>The given parameters are:
Colors = 9
Colors to choose = 7
Since order does not matter, then it is combination
This is calculated using:
This gives
Evaluate
Hence, the number of ways is 36
Read more about combination at:
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