Answer:

Step-by-step explanation:
It was given that, florida manatee population is 3,000 and is decreasing by 11% each year.
We want to write a function for this situation.
Since the population is decreasing annually, it is modelled by:

We substitute the give initial population and rate of decrease to get:

This simplifies to:

Answer:
The quadratic function whose graph contains these points is 
Step-by-step explanation:
We know that a quadratic function is a function of the form
. The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.
Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.



We can solve these system of equations by substitution
- Substitute


- Isolate a for the first equation

- Substitute
into the second equation



The solutions to the system of equations are:
b=-2,a=-1,c=-2
So the quadratic function whose graph contains these points is

As you can corroborate with the graph of this function.
The common minimum of those three numbers is 120.
1 day = 24 hours
58 days = (24)(58) = 1392 hours
60 mins = 1 hour
30 mins = 30/60 hour = 1/2 hour
Total hours Keurig takes to complete a full rotation = 1392 + 15 + 1/2 = 1407(1/2) hours.
Answer: A, C and E
Step-by-step explanation:
because there are 2 shapes in which have the same formula height times base so 6 is the base and n and m is both of the heights but they are the same height so you need to add them for the total height then mutiply the total height by 6 which means you can ALSO do 6n and 6m because if n=5 and m=2 6x5=30+6x2=12=42 and 6x(5+2)=42 and you can switch the equations around getting the same answer AND B is wrong because 6x5=30+2=32 NOT 42 and D is wrong because 6x5x2=60 not 42 SO it has to be A, C and E
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