Answer:
The average rate of change from 1990 to 1991 is 
The average rate of change from 2000 to 2001 is 
Step-by-step explanation:
The average rate of change of function f(x) over the interval 
is given by
It is a measure of how much the function changed per unit, on average, over that interval.
From the information given:
- The function that models the population t years after 1990 is
- The year 1990 is t = 0 and the year 2000 is t = 10.
1. The average rate of change from 1990 to 1991 is:
The interval is 
2. The average rate of change from 2000 to 2001 is
The interval is 
Answer:
y = 0x - 3
Step-by-step explanation:
Looking at just the plots, you can see that they are equal in y-value, so they would make a horizontal line, meaning no slope. That just leaves the y-intercept, and if it is horizontal, and they are both at y level -3, the intercept is -3. So putting it in slope-intercept form, you get y = 0x - 3. The 0 signifies the line doesn't slope down or up, just horizontally.
The decay rate is
1 - r = .97
Solve for r
Subtract 1 from both sides
- r = -.03
Divide both sides by -1
r = .03
r = 3%
Given a triangle if side a, b and c where c is the longest side, then:
a+b≥c
From the dimensions given, we can assign our values as follows:
a=11.5, b=9, c=15.5
thus plugging in the inequality:
11.5+9≥15.5
20.5≥15.5
this implies that the dimensions form a triangle.
