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Chapter 0: Problem 1
Evaluate each exponential expression. $$ 5^{2} \cdot 2 $$
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Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{1}{2}+\frac{2}{3}$$
The early Greeks believed that the most pleasing of all rectangles were golden rectangles, whose ratio of width to height is $$\frac{w}{h}=\frac{2}{\sqrt{5}-1}$$ The Parthenon at Athens fits into a golden rectangle once the triangular pediment is reconstructed. (IMAGE CANNOT COPY) Rationalize the denominator of the golden ratio. Then use a calculator and find the ratio of width to height, correct to the nearest hundredth, in golden rectangles.
Factor completely. $$-x^{2}-4 x+5$$
Factor Completely. $$x^{4}-5 x^{2} y^{2}+4 y^{4}$$
Factor Completely. $$12 x^{2}(x-1)-4 x(x-1)-5(x-1)$$
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