Question 481099: Can some one please help me with the following Algebra II questions, these are so very important for my collage exam semester and also for me to be able to pass such exam.
1- Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches the first from the time the second cyclist started biking?
2- Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
3- John is travelling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
4- If Steven can mix 20 drinks in 5 minutes. Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much will it take all three of them working together to mix the 20 drinks?
5- If Sam can do a job in 4 days that Lisa can do in 6 days & Tom can do in 2days, how long would job take if Sam, Lisa, and Tom worked together to complete it?
6- If two plans leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
7- Solve the equation 8x³ + 4x² - 18x – 9 = 0 algebraically for all values of x.
8- What is one solution for the accompanying system of equations? y= x²-9 & y=x+3
9- Solve the equation x³ - 5x² -4x + 20 = 0 algebraically for all values of x.
10- Solve: x² - x – 12 > 0. State the answer in interval notation.
11- A car’s stopping distance varies directly with the speed it travels, and inversely with the friction value of the road service. If a car takes 60 feet to stop at 32 mph, on a road whose friction value is 4, what would be the stopping distance of a car travelling of a car travelling at 60 mph on a road with friction value of 2?
12- Find the zeros of the polynomial function: P(x) = (x² + 9) (x + 3).
13- The sum of twice a positive integer and four times the reciprocal of the integer is 9. Find the integer.
14- The sum of three times a positive integer and four times the integer is 10. Find the integer.
I am aware that I only have 5 questions a day, I will wait 3 to 4 days for your help. Thank you so very much for your help, God blesses you for your help to needy people like me.
Thank you,
Amr Alashmawi
08/12/2011
Answer by richard1234(7193)   (Show Source):
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