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Problem 32

Use a graphing utility to graph the equations and to approximate the \(x\) -intercepts. In approximating the \(x\) -intercepts, use a "solve" key or a sufficiently magnified view to ensure that the values you give are correct in the first three decimal places. Remark: None of the \(x\) -intercepts for these four equations can be obtained using factoring techniques.) $$y=8 x^{3}-6 x-1$$

Problem 32

Rewrite each expression without using absolute value notation. $$|-\sqrt{3}-\sqrt{5}|$$

Problem 32

Are the lines \(y=x+1\) and \(y=1-x\) parallel, perpendicular, or neither?

Problem 32

Solve each equation by factoring. $$x(x+1)=156$$

Problem 33

Solve each equation by factoring. $$x^{2}+(2 \sqrt{5}) x+5=0$$

Problem 33

Find an equation for the line that is described. Write the answer in the two forms \(y=m x+b\) and \(A x+B y+C=0\). Is parallel to \(2 x-5 y=10\) and passes through (-1,2)

Problem 33

Say whether the statement is TRUE or FALSE. (In Exercises \(37-40\), do not use a calculator or table; use instead the approximations \(\sqrt{2} \approx 1.4 \text { and } \pi \approx 3.1 .)\) $$-2 \leq-2$$

Problem 33

Rewrite each expression without using absolute value notation. $$|x-3|+|x-4| \text { given that } x<3$$

Problem 33

Use a graphing utility to graph the equations and to approximate the \(x\) -intercepts. In approximating the \(x\) -intercepts, use a "solve" key or a sufficiently magnified view to ensure that the values you give are correct in the first three decimal places. Remark: None of the \(x\) -intercepts for these four equations can be obtained using factoring techniques.) $$y=x^{5}-6 x^{4}+3$$

Problem 34

Find an equation for the line that is described. Write the answer in the two forms \(y=m x+b\) and \(A x+B y+C=0\). Is parallel to \(4 x+5 y=20\) and passes through (0,0).

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