Answer:
5
Step-by-step explanation:
We have been given that the point
lies on the curve
. Q is the point
. We are asked to find the slope of the secant line
for
.
Let us find y-coordinate corresponding to
for point P as:

Now, we will use slope formula to find required slope.
Let point
and point
.
Using these points in slope formula, we will get:

Therefore, the slope of the line PQ is 5.
Answer:
-19
Step-by-step explanation:
The missing table is shown in the attachment.
Since the quadratic function has vertex at (0,3), its equation is of the form;

To find the value of 'a' we substitute any other point from the table say (1,2) to get:


Hence the function is

Now


The average rate of change from x=9 to x=10 is

Answer:
3 factors ; 18 total conditions
Step-by-step explanation:
The study focuses on the 3 factirs which impacts life satisfaction. Thses factors are : Smoking ; Drinking and Partying and they constitute the 3 different factor variables in the study.
For each factor variable, each has a number of different conditions ;
For smoking : 2 conditions (smoking and not smoking)
Drinking : 3 conditions (no alcohol, 1 / day ; several per day)
Partying : 3 conditions (no partying, 1 hour of partying / day, 2 hours of partying / day)
Total number of conditions :
(2 * 3 * 3) = 18 conditions