Answer:
dy/dx = 2x+1/x(x+1)
Step-by-step explanation:
y = In x(x+1)
Let u = x(x+1) = x^2 + x
du/dx = 2x + 1
y = In u
dy/du = 1/u
dy/dx = dy/du × du/dx = 1/u × 2x+1 = 2x+1/u = 2x+1/x(x+1)
Y=25(1.025)^x
Rate: r=1.025-1
r=0.025>0 (positive), then the function is increasing
r=0.025*100%
r=2.5%
Answer: Second option: Increasing by 2.5%
Answer: 
Step-by-step explanation:
1. You know that:
- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.
- The dimensions of the rectangular museum are: 30 ft by 10 ft.
- The combined area of the display and the roped-off area is 800 ft².
2. The area of the rectangular museum can be calculated with:

Where
is the lenght and
is the width.
You have that the lenght and the width in feet are:

3. Let's call
the width of the roped-off area. Then, the combined area is:

Where



4. Substitute values and simplify. Then:


You can converte them to a common denominator like 6. 1/2 would be 3/6. 2/3 would be 4/6.
Answer:
4.5 lbs
Step-by-step explanation:
just divide 11.25 by 2.5