Answer:
The function f(x) is represented by:

Hence, a=1500 and b=0.97
Step-by-step explanation:
The patient currently has a bone density of 1,500 kg/mg^3. 
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. 
This means that the bone density that is remaining is:
100-3=97%
which is also represented as: 97%=97/100=0.97
Hence, the function f(x) that represents the bone density after x years is represented by:

where a is the initial bone density which is given to be: 1500 kg/mg^3.
Hence, the function is:

 
        
                    
             
        
        
        
Answer:
3 gulps
Step-by-step explanation:
In this problem, f(x) = 3. Plug this into the equation:
3 = -3x + 12
Solve for x:
3 - 12 = -3x + 12 - 12
-9 = -3x
-9 / -3 = -3x / -3
3 = x
3 gulps
 
        
             
        
        
        
Answer:

Step-by-step explanation:

Distribute negative sign.

Combine like terms.


 
        
             
        
        
        
Answer:
(2.5, - 2)
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines, that is
(2.5, - 2 ) ← point of intersection
 
        
                    
             
        
        
        
F(-3) means when x = -3
Find the value on the graph
Solution: f(-3) = 6