Answer:
1.49
Step-by-step explanation:
In order to find the slope of the tangent line to a given equation, and in a given point, we need to:
1. Find the first derivative of the given function.
2. Evaluate the first derivative function in the given point.
1. Let's find the first derivative of the given function:
The original function is 
But remeber that the derivative of   is
 is  
so, 
2. Let's evaluate the first derivative function in the given point
The given point is (0.4,1.49) so:



Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.
 
        
             
        
        
        
7x+6=3x-6
    +6       +6
7x+12=3x
-3x       -3x
 4x+12=0
-4x         -4x
 divide both sides by -4 but you have to flip the sign.   
-3>x
or  
{x | x < -3}
        
             
        
        
        
Answer:
r(t) = 15t+500
Step-by-step explanation:
Since the amount of money (r) is a function of the time (t) we will make it the y-value.  t is how much time and he gets $15 a minute so we multiply t by 15.  500 is how much he gets paid for doing it.  If he showed up and just left, he would still get 500.
 
        
             
        
        
        
Answer:
In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.
Step-by-step explanation:<em> I hope this helps</em>