Question 184247
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? 
I'll take your word for the formula.
A =6V^2/3
A^3 = 216V^2
V^2 = A^3/216
V^2 = 1728/216 = 8
V = sqrt(8) = 2sqrt(2) cubic feet
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94. Find all real or imaginary solutions to each equation.
49x^2+9=42x 
49x^2 - 42x + 9 = 0
*[invoke solve_quadratic_equation 49,-42,9]
x = 3/7
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98. x-1/x+2= 2x-3/x+4 


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?