SOLUTION: 114. Surface area of a cube. The formula A =6V^2/3 gives the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?

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Question 184189: 114. Surface area of a cube. The formula A =6V^2/3 gives
the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?

94. Find all real or imaginary solutions to each equation.
49x^2+9=42x
98. x-1/x+2= 2x-3/x+4

106. Find exact and approximate solutions to each problem.
One on one. Find two positive real numbers that differ by 1 and have a product of 1.

110. Winston works faster. Winston can mow his dad’s lawn in 1 hour less than it takes his brother Willie. If they take 2 hours to mow it when working together, then how long would it take Winston working alone?

114. Maximizing profit. The total profit (in dollars) for sales of x rowing machines is given by P(x)=-0+2x^2+300x-200 . What is the profit if 500 are sold? For what value of x will the profit be at a maximum?


Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

Doing all of these is a lot of work. I'll do one and if you like, you can write back and we can negotiate a fee for the rest of it -- or you can just repost the others.

106. Find exact and approximate solutions to each problem.
One on one. Find two positive real numbers that differ by 1 and have a product of 1.



(by substitution)

So:



Using the quadratic formula:

(exact answer)




So approximately 1.62 or -0.62

John



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