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Prove that (x+y)3-(x-y)3-6y(x2-y2)=8y2
With solution.
Playing texas hold'em yesterday my Sweetie had a 7 and a queen in the pocket. On the board came up three sevens and two queens. Not a very likely mix. What is the likelihood of such a thing?

Thanks, Jerry
Without actual divison prove that 2x2-6x2+3x2+3x-2 is exactly divisible by[x2-3x+2].
how long will it take for money to double at 4.5% compounded quarterly
if a=7-4root3 find the value if root a = 1divided by root a
A man spends 7/15 of his income at home,1/6 of his income on holidays and saves the rest. is he saves 22000 a year,what is his income?
Sub 25
Ques. 6

David paid $9.50 for some 15 cent, 25 cent, and 45 cent stamps. He bought 38 stamps and the number of 25 cent stamps was 8 more than twice the number of 45 cent stamps. How many of each type did David buy?
Sub 25
Ques. 5

Solve this system:

1/r + 3/s - 2/t = 1

2/r + 3/s - 4/t = 1

1/r - 6/s - 6/t = 0
on average, one-sixth of the total number of people who make dinner reservations fail to arrive. The manager also knows that he needs to fill as many tables as possible in order to make a profit. His restaurant has 20 tables and so he accepts bookings for 24 tables each night.Explain why the manager accepts 24 reservations per night. Include mathematical reasoning in you answer.
QUESTION 1
a) Solve the following LP problem by using a graphical method/procedure:

Maximize z = x1-2x2
subject to
2x1 + x2 ≤ 16
3x1 - 2x2 ≥ 12
x1 ≤ 7
x1 , x2 ≥ 0
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