Answer:
The average rate of change of f(x) over the interval −1 ≤ <em>x</em> ≤ 1 is -1.
Step-by-step explanation:
The average rate of change of a function is:
The function is:
The interval is, -1 ≤ <em>x</em> ≤ 1.
Compute the average rate of change as follows:
Thus, the average rate of change of f(x) over the interval −1 ≤ <em>x</em> ≤ 1 is -1.
In mass or percent weight (%w); the concentration would be :
100 * 50 / (50 + 30) = 100 * 50/80 = 62.5 %w
Answer:
- an = 12 + 7(n -1)
- a250 = 1755
Step-by-step explanation:
The first figure has 12 line segments. The second figure has 19, 7 more than the first. The third figure has 7 more than that. The sequence of line segment counts is an arithmetic sequence with first term 12 and common difference 7. The formula for the general term of an arithmetic sequence can be used.
General term for sequence with first term a1 and common difference d:
an = a1 + d(n -1)
For the numbers in this problem, the equation is ...
an = 12 + 7(n -1)
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The 250th term of the sequence is ...
a250 = 12 + 7(250 -1) = 1755