Answer:
The vertex represent the minimum amount of profit
Step-by-step explanation:
Plot the function to better understand the problem
Let
x ----> the number of users in thousands
y ---> the Monthly profit in thousands
using a graphing tool
see the attached figure
we have a vertical parabola open upward
The vertex represent a minimum
In the context of this problem
The vertex represent the minimum amount of profit
In this problem the vertex is the point (0.4,-4)
0.4 represent -----> 0.4(1,000)=400 users
-4=-4(1,000)=-$4,000 (profit negative)
V= 5 x 4^2 + 5 x 4
V= 5 x 16 + 20
V= 80+ 20
V= 100
Answer is C 100 cubic units
12:9, 12/9, and 12 to 9. The way I got 12 and 9 was by simplifying 60/45.
Answer:
l = 29.4 yards
w = 66.8 yards
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Perimeter of a Rectangle: P = 2w + 2l
Step-by-step explanation:
<u>Step 1: Define</u>
P = 163 yards
w = 2l + 8
l = l
<u>Step 2: Set up equation</u>
P = 2w + 2l
163 = 2(2l + 8) + l
<u>Step 3: Solve for </u><em><u>l</u></em>
- Distribute 2: 163 = 4l + 16 + l
- Combine like terms: 163 = 5l + 16
- Subtract 16 on both sides: 147 = 5l
- Divide both sides by 5: 147/5 = l
- Rewrite: l = 147/5
- Evaluate: l = 29.4 yards
<u>Step 4: Find </u><em><u>w</u></em>
- Define: w = 2l + 8
- Substitute: w = 2(29.4) + 8
- Multiply: w = 58.8 + 8
- Add: w = 66.8 yards
