Answer:
Dimensions: 
Perimiter: 
Minimum perimeter: [16,16]
Step-by-step explanation:
This is a problem of optimization with constraints.
We can define the rectangle with two sides of size "a" and two sides of size "b".
The area of the rectangle can be defined then as:

This is the constraint.
To simplify and as we have only one constraint and two variables, we can express a in function of b as:

The function we want to optimize is the diameter.
We can express the diameter as:

To optimize we can derive the function and equal to zero.

The minimum perimiter happens when both sides are of size 16 (a square).
Answer:
B
Step-by-step explanation:
CAN I GET BRAINLIEST PLSS
To reflect it over the x axis, all y units get multiplied by -1, so we multiply the equation by -1. After that, to stretch it vertically, we multiply it by that factor, which is 2. Right now , we have -2log(5x). Lastly, we shift it down 3 units by subtracting 3 from the overall equation, resulting in -2log(5x)-3
Given:
x y
0 40
4 120
y = fixed amount + v(x)
y = 40 + v(0)
y = 40
y = 40 + v(x)
120 = 40 + v(4)
120 - 40 = v(4)
80 = v(4)
80/4 = v
20 = v
y = 40 + 20x
The fixed amount charged is 40.
The variable amount is 20 per day.
Answer: B
Step-by-step explanation: