Solve the equation by the method of your choice. Simplify solution, if possible.
1. (3x + 5)2 = 6
Solve the following problems.
2. You have 188 feet of fencing to enclose a rectangular region. What is the maximum area?
3. An object is propelled vertically upward from the top of a 112-foot building. The quadratic function s(t) = -16t2 + 176t + 112 models the ball's height above the ground, s(t), in feet, t seconds after it was thrown. How many seconds does it take until the object finally hits the ground? Round to the nearest tenth of a second if necessary.
Solve the equation by making an appropriate substitution.
4. x4 - 14x2 - 32 = 0
Solve the rational inequality and graph the solution set on a real number line.
5. x - 6 > 0
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Solving Equations and Inequalities and Maximum Area of a Rectangle Given Perimeter are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.