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# Intermediate Algebra : Solving Equations and Inequalities and Maximum Area of a Rectangle Given Perimeter

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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
x +1
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https://brainmass.com/math/basic-algebra/66316

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