91Ó°ÊÓ

Graph each equation in the rectangular coordinate system. $$x=5$$

Write an inequality of the form \(|x-a| < k\) or of the form \(|x-a| > k\) so that the inequality has the given solution set. HINT: \(|x-a| < k\) means that \(x\) is less than \(k\) units from \(a\) and \(|x-a| > k\) means that \(x\) is more than \(k\) units from \(a\) on the number line. $$(-\infty,-3) \cup(3, \infty)$$

Evaluate the expression \(\frac{-b+\sqrt{b^{2}-4 a c}}{2 a}\) for each choice of \(a, b\) and \(c\) $$a=1, b=2, c=5$$

Graph each equation in the rectangular coordinate system. $$y=-2$$

Evaluate the expression \(\frac{-b+\sqrt{b^{2}-4 a c}}{2 a}\) for each choice of \(a, b\) and \(c\) $$a=5, b=-4, c=1$$

Write an inequality of the form \(|x-a| < k\) or of the form \(|x-a| > k\) so that the inequality has the given solution set. HINT: \(|x-a| < k\) means that \(x\) is less than \(k\) units from \(a\) and \(|x-a|>k\) means that \(x\) is more than \(k\) units from \(a\) on the number line. $$(-\infty,-1) \cup(1, \infty)$$

Solve each equation. $$x-0.05 x=190$$

Write an inequality of the form \(|x-a| < k\) or of the form \(|x-a| > k\) so that the inequality has the given solution set. HINT: \(|x-a| < k\) means that \(x\) is less than \(k\) units from \(a\) and \(|x-a|>k\) means that \(x\) is more than \(k\) units from \(a\) on the number line. $$(4,8)$$

How many gallons of a \(15 \%\) alcohol solution and how many gallons of a \(10 \%\) alcohol solution should be mixed together to obtain 20 gallons that contain \(12 \%\) alcohol?

Evaluate the expression \(\frac{-b+\sqrt{b^{2}-4 a c}}{2 a}\) for each choice of \(a, b\) and \(c\) $$a=2, b=4, c=3$$