MPZ 18. Jane claims that she can help show that 6n + 3n9n is true by first choosing one positive value for n and replacing the variables in the equation to show that it is true, and then choosing one negative value for n and replacing the variables in the equation to show that it is also true. Can you carry out Jane's idea? If not, explain why Jane's idea does not work. Solve the problems. P5 19. Dan sleeps 8 hours each day. Write a simplified expression for the number of hours Dan is awake in d days.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Educational Content

#### MP7

**18.** Jane claims that she can help show that \(6n + 3n = 9n\) is true by first choosing one positive value for \(n\) and replacing the variables in the equation to show that it is true, and then choosing one negative value for \(n\) and replacing the variables in the equation to show that it is also true. Can you carry out Jane's idea? If not, explain why Jane's idea does not work.

---

### Solve the Problems

#### MP5

**19.** Dan sleeps 8 hours each day. Write a simplified expression for the number of hours Dan is **awake** in \(d\) days.

✏️ **Show your work.**
Transcribed Image Text:### Educational Content #### MP7 **18.** Jane claims that she can help show that \(6n + 3n = 9n\) is true by first choosing one positive value for \(n\) and replacing the variables in the equation to show that it is true, and then choosing one negative value for \(n\) and replacing the variables in the equation to show that it is also true. Can you carry out Jane's idea? If not, explain why Jane's idea does not work. --- ### Solve the Problems #### MP5 **19.** Dan sleeps 8 hours each day. Write a simplified expression for the number of hours Dan is **awake** in \(d\) days. ✏️ **Show your work.**
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