The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the follow
1 answer:
<h2>Answer:</h2>
The average change in the price of stock over the three weeks is:
It decreased by 30 cents per week.
<h2>Step-by-step explanation:</h2>It is given that the price of stocks decreased by 60 cents one week.
It decreased by 10 cents in the next week
and 20 in the third week.
Hence, the average rate of change is calculated as the ratio of the sum of the change in the three weeks divided by the number of weeks i.e. 3.
Hence,
As the average rate of change is negative this means that the price of the stocks decreased.
and it decreased by a rate of 30 cents per week.
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Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ - 10, 10 ], thus
f(b) = f(10) = 10² + 9(10) + 18 = 100 + 90 + 18 = 208
f(a) = f(- 10) = (- 10)² + 9(- 10) + 18 = 100 - 90 + 18 = 28, thus
average rate of change = =
= 9
Given:
The expression is:
It leaves the same remainder when divided by x -2 or by x+1.
To prove:
Solution:
Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).
Let the given polynomial is:
It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that
...(i)
Substituting in the given polynomial.
Substituting in the given polynomial.
Now, substitute the values of P(2) and P(-1) in (i), we get
Divide both sides by 3.
Hence proved.