91Ó°ÊÓ

Solve each equation. $$\left|x^{2}+2 x-36\right|=12$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. If \(5^{-2}\) is raised to the third power, the result is a number between 0 and 1

If your exercise goal is to improve overall health, the graph shows the following range for target heart rate, \(H,\) in beats per minute: (GRAPH CAN'T COPY) Lower limit of range \(\quad H=\frac{1}{2}(220-a)\) Upper limit of range \(\quad H=\frac{3}{5}(220-a)\) a. What is the lower limit of the heart rate range, in beats per minute, for a 30 -year-old with this exercise goal? b. What is the upper limit of the heart rate range, in beats per minute, for a 30 -year-old with this exercise goal?

Explain why \(|x|<-4\) has no solution.

Make Sense? In Exercises \(129-132\), determine whether each statement makes sense or does not make sense, and explain your reasoning. Using my calculator, I determined that \(6^{7}=279,936,\) so 6 must be a seventh root of 279.936

Solve each equation. $$\left|x^{2}+6 x+1\right|=8$$

Make Sense? In Exercises \(129-132\), determine whether each statement makes sense or does not make sense, and explain your reasoning. I simplified the terms of \(2 \sqrt{20}+4 \sqrt{75},\) and then I was able to add the like radicals.

Solve each equation. $$\frac{1}{x^{2}-3 x+2}=\frac{1}{x+2}+\frac{5}{x^{2}-4}$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. You grouped the polynomial's terms using different groupings than I did, yet we both obtained the same factorization.

Describe the solution set of \(|x|>-4\)