Answer:

Step-by-step explanation:
The exponential function that decrease by 15% every time x increases by 1 is given by:

We simplify the parenthesis to get:

Therefore the decrease by 15% every time x increases by 1 is

The second choice is correct.
Constraint 1:
Let the total number of running shoes be = R
Let the total number of leather boots be = L
As the given number of total shoes are 48,
The equations becomes,
R + L = 48............(1)
Constraint 2:
As running shoes are twice the leather boots, equation becomes,
R = 2L..............(2)
Putting the value of R from equation(2) in equation (1)



Now putting the value of L in equation(2)
R= 2L
R = 
R=32
Hence, Amanda needs 16 pairs of leather boots and 32 pairs of running shoes.
Answer: B: n^2+6n+1
Step-by-step explanation:
A=n
B=2n+6
C=n^2-1
AB-C
n(2n+6)-n^2-1
2n^2+6n-n^2+1
n^2+6n+1
The greatest area he can fence is 64 ft².
In order to maximize area and minimize perimeter, we use dimensions that are as close to equivalent as possible. 32 feet of fence for 4 sides gives us 8 feet of fence per side. We would have a square whose side length is 8; the area would be 8*8 = 64.