Answer:
A
Step-by-step explanation:
The consecutive values of 
have a common difference d, that is
d = 8 - 3 = 13 - 8 = 18 - 13 = 23 - 18 = 5
This indicates that the sequence is arithmetic.
The recursive formula allows the next term in the sequence to be found from the previous term by adding 5, thus
= 
+ 5 → A
First, let's write the given equation in slope-intercept form: y = mx + b
In slope-intercept form, the slope of the line is m, and the y-intercept is b. The slope is a measure of how steep the graph is at any point and is found by doing rise over run. This means the change in y values divided by the change in x values. Next, y-intercept is just where the graph crosses the y axis.
All we need to do to get the equation in slope-intercept form is to divide each term by 3. This will isolate the y.
As you can see, the slope of the line is 2/3, and the y-intercept is -2.
To graph the line, plot a point at (0,-2). This is the point where the graph crosses the y axis. Then from that point, count up two and right 3. Plot a point here as well. Lastly, connect the two points with a straight line.
See attached picture for the graph.
Answer:
Step-by-step explanation:
<u>Solve for π</u>
- V = 4/3πr³
- 3/4V = πr³
- 3V/(4r³) = π
- π= 3V/(4r³)
Answer:
Step-by-step explanation:
To solve this, we are using the average rate of change formula:
where
is the average rate of change
is the first point
is the second point
is the function evaluated at the first point
is the function evaluated at the second point
We want to know the average rate of change of the function 
form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, 
and 
.
Replacing values
We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is
Because 843,000 is closer to 840,000 than 850,000
