For this case what you should see is that for the interval [9, 11] the behavior of the function is almost linear.
Therefore, we can find the average rate of change as follows:
m = (y2-y1) / (x2-x1)
m = (11-6) / (11-9)
m = (5) / (2)
m = 5/2
Answer:
the average rate of speed over the interval [9, 11] is:
D. 5 / 2
<u>Answers</u>
19 fiction books
7 nonfiction books
<u>Explanation</u>
x + y = 26 ............................................. (i)
x – y = 12 ............................................ (ii)
Elliot added the two equations and the result was
2x = 38.
Dividing both sides by 2;
x = 19
There are 19 fiction books.
Substituting x in equation (i),
x + y = 26 when x = 19
19 + y = 26
y = 26 - 19
= 7
There are 7 nonfiction books
Answer:
Step-by-step explanation:
Given that Bill, George, and Ross, in order, roll a die.
The first one to roll an even number wins and the game is ended.
Since Bill starts the game he can win by throwing even number or lose by throwing odd number
P(win) = 0.5, otherwise, the die will go to George. For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.
Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely
To get back the dice once he loses probability
= p both throws odd = 
Thus Prob for Bill winning
= 
This is an infinite geometric series with I term 0.5 and common ratio 0.125<1
Sum = 
For this case we have a function of the form:

Where,
A: initial amount
b: growth rate (for b> 1)
x: independent variable
y: dependent variable
We then have the following function:

Using the definition, the following statements are correct:
1) The function is exponential
2) The function increases by a factor of 2.5 for each unit increase in x
3) The domain of the function is all real numbers