Answer:

Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then: 
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then: 
x = log_12(y).
 
Then, the inverse of: y= 12^x is:

 
        
             
        
        
        
Answer:
y = -5x - 23
Step-by-step explanation:
Write it in point - slope form:
y - 7 = -5(x + 6)
rearrange:
y - 7 = -5x - 30
y = -5x - 23
 
        
             
        
        
        
Answer:
2.33 = BC
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan B = AC / BC
tan 25 = AC / 5
Multiply each side by 5
5 tan 25 = BC
2.331538291 = BC
To the nearest hundredth
2.33 = BC
 
        
             
        
        
        
Probably b. flyer 
Of course, it's tough to tell without the selection.
        
             
        
        
        
Answer:
Step-by-step explanation: