4 Algebra questions!

all the info is below in the screenshots 🙂

• rational equation
• rational expressions

10. Simplify the complex fraction. (3 points)
3x-7
2
X
2
21
+
2
x
11.
(4 points)
Write an equation that
.
17
The sum of the reciprocals of two consecutive positive integers is
72
can be used to find the two integers. What are the integers?
9. WorkPad
(3 points)
Note: For questions 9–12, remember to show all of the steps that you use to solve the problem.
You can use the comments field to explain your work. Your teacher will review each step of
your response to ensure you receive proper credit for your answer.
The speed of the current in a river is 6 mph. A ferry operator who works that part of the river
is looking to buy a new boat for his business. Every day, his route takes him 22.5 miles each
way against the current and back to his dock, and he needs to make this trip in a total of 9
hours. He has a boat in mind, but he can only test it on a lake where there is no current. How
fast must the boat go on the lake in order for it to serve the ferry operator’s needs?
12. Simplify the sum. State any restrictions on the variables. (3 points)
X-2
10x
+
x+3 x2 -9