91Ó°ÊÓ

Write each number in decimal notation without the use of exponents. $$-7.16 \times 10^{6}$$

A thief steals a number of rare plants from a nursery. On the way out, the thief meets three security guards, one after another. To each security guard, the thief is forced to give one-half the plants that he still has, plus 2 more. Finally, the thief leaves the nursery with 1 lone palm. How many plants were originally stolen?

Solve each quadratic equation by completing the square. $$x^{2}-2 x-5=0$$

Factor completely, or state that the polynomial is prime. $$6 x^{2}-6 x-12$$

In Exercises \(85-96,\) simplify each algebraic expression. .$$2(5 x-1)+14 x$$

Evaluate each expression without using a calculator. $$8^{\frac{2}{3}}$$

Perform the indicated operations. Simplify the result, if possible. $$\left(\frac{1}{a^{3}-b^{3}} \cdot \frac{a c+a d-b c-b d}{1}\right)-\frac{c-d}{a^{2}+a b+b^{2}}$$

Use interval notation to represent all values of \(x\) satisfying the given conditions. \(y=7-\left|\frac{x}{2}+2\right|\) and \(y\) is at most 4

What is a polynomial in \(x ?\)

Factor and simplify each algebraic expression. $$(x+3)^{\frac{1}{2}}-(x+3)^{\frac{3}{2}}$$