Answer:
3x + 33
Step-by-step explanation:
By using the distributive property, 3{x + 11} = 3x + 33
it is 3,000 times larger! that is the difference.
Variables are the letters in the equation (like x and y)
Coefficients are the numbers before the variables. (like "6" in "6x")
Constants are the actual numbers (like "2" or "1")
Factors: Numbers that are multiplied together (like "5" and "6" in 5 * 6)
5) 4b + 6
Variable: b
Coefficient: 4
Constant: 6
6) 7x + 8h - 3
Variables: x, h
Coefficients: 7, 8
Constants: -3
7) 12 + 2a + 5b
Variables: a, b
Coefficients: 2, 5
Constants: 12
8) 5 + (7 * 8)
Factors: 7 and 8
Let x ft be the length of the base square and y ft be the height of the box.
The volume of the box is
Since the box has a volume of 15 cubic feet, then
You need to construct two squares from the metal that cost $3 per square foot.
The area of each square is 
and the total cost for these two squares is 
The area of each side face is 
Then the total cost for sides is 
Let S(x) be the function that represents total cost of the box, then
Find the derivative:
When 
then ![12x-\dfrac{600}{x^2}=0,\\ \\12x^3=600,\\ \\x^3=50,\\ \\x=\sqrt[3]{50}\ ft.](https://tex.z-dn.net/?f=12x-%5Cdfrac%7B600%7D%7Bx%5E2%7D%3D0%2C%5C%5C%20%5C%5C12x%5E3%3D600%2C%5C%5C%20%5C%5Cx%5E3%3D50%2C%5C%5C%20%5C%5Cx%3D%5Csqrt%5B3%5D%7B50%7D%5C%20ft.)
The dimensions of the box are:
length and width - ![\sqrt[3]{50}\ ft](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B50%7D%5C%20ft)
height - ![\dfrac{15}{\sqrt[3]{2500}}\ ft.](https://tex.z-dn.net/?f=%5Cdfrac%7B15%7D%7B%5Csqrt%5B3%5D%7B2500%7D%7D%5C%20ft.)
Answer:
the max area is 10 sq. feet
Step-by-step explanation:
