Answer:
The value of w is:

Step-by-step explanation:
We have to calculate w from the equation

The solution has to be expressed as a logarithm in base 10.
We can solve it like:

The value of w is:

Profit would be the revenue minus the cost
so R=x^3-6x^2 +x +75 - C=x^2-70x =
see picture for answer
2x + 22 = 4(x + 3)...distribute thru the parenthesis
2x + 22 = 4x + 12...subtract 2x from both sides, subtract 12 from both sides
22 - 12 = 4x - 2x...simplify
10 = 2x...divide both sides by 2
10/2 = x...reduce
5 = x <==
Combine like terms on the left side of the equation. Add 4 and 2 and subtract x and 2x. After combining like terms you should get: 6 - x = 5.
Subtract 6 from both sides to isolate x. Now you have: -x = -1. Make x into a positive by dividing both sides by -1. You are correct - the answer is x = 1.
Let the width be W, then the length is 4W (since the width is 1/4 the length)
The area of the original deck is

The dimensions of the new deck are :
length = 4W+6
width=W+2
so the area of the new deck is :

"<span>the area of the new rectangular deck is 68 ft2 larger than the area of the original deck</span>" means that we write the equation:




the length is

ft
Answer: width: 4, length: 16