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Chapter 0: Problem 40
Give an example of a rational number that is not an integer.
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Place the correct symbol, \(>\) or \(<,\) in the shaded area between the given numbers. Do not use a calculator. Then check your result with a calculator. a. \(3^{\frac{1}{2}} \quad 3^{\frac{1}{3}}\) b. \(\sqrt{7}+\sqrt{18} \sqrt{7+18}\)
Determine whether each statementmakes sense or does not make sense, and explain your reasoning. You grouped the polynomial鈥檚 terms using different groupingsthan I did, yet we both obtained the same factorization.
Factor Completely. $$6 x^{4}+35 x^{2}-6$$
will help you prepare for the material covered in the first section of the next chapter. If \(y=1-x^{2}\), find the value of \(y\) that corresponds to values of \(x\) for each integer starting with \(-3\) and ending with 3 .
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$ (-2)^{4}=2^{-4} $$
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