... are
A= prime numbers
3 2
8 20 13n n n
− + +
SOLUTION
Unit 8: Period 20
th
∴ (a + 3)
2+
(b + 2)
2+
(c + 4)
2=
0
( )
2
3
4
2 3 4
9
3 0 3
2 0 2 8
4 0 4
256
a b c 9 8 256 257
a
a a
b b b
c ... a
2
+ b
3
+ c
4
.
Solution
2
2 2 2 2
2
4 7
8 10 a + 4b+b +8c+c +6a = 7+(-10)+(-26)
6 26
a b
We have b c
c a
+ =
+ = − ∴
+ = −
∴ a
2
+ 4b + b
2
+ 8c + c
2
+ 6a + 29 = 0
PRACTICE PROBLEMS ...
PRACTICE PROBLEMS ON POLYNOMIALS
= x(x
2
- 1) + x(x
8
- 1) + x(x
26
- 1)+x(x
80
- 1) + 5x + 5
Note that a
2n
– b
2n
(a - b) from n∈N.So (x
2n
-1)(x
2
- 1)
...
... thống tài khoản kế toánbằngtiếng Anh
Hệ thống tài khoản kế toán là một nhóm các tài khoản của kế toán tổng hợp
được sử dụng để hạch toán các giao dịch từ các phần hành kế toán. Nó cũng có thể ... giống nhau ở hai công ty khác nhau. Dưới đây là danh sách hệ thống tài khoản bằngtiếngAnh và
có chú thích tiếng Việt
STT TK TÊN TIẾNGANH TÊN TIẾNG VIỆT
TÀI SẢN NGẮN HẠN - (CURRENT ASSETS)
1 ...
customers
Thanh toán theo tiến độ kế hoạch hợp đồng
xây dựng
DN xây lắp có thanh toán theo TĐKH
3 38 Other payable Phải trả, phải nộp khác
3 381 Surplus assets awaiting for resolution Tài sản thừa chờ giải...
... E
SLICNEP
SEHCUOC
SRIAHCMRA
ENOHPELET
ELT A B
PMAL
1
B
2
R
3
L
7
6
5
4
8
LOG M AI S
7. She is a ________ . she teaches at a
school .
teacher
1 2 3
4 5
6
7 8 9
1
1
2
2
3
3
4
4
5
5
6
6
7
7
8
8
9
9
2. ____________________________ ...
5. What room is this ?
This is bed room .
8. Which animal is this ?
It’s a horse .
4 . What do they do ?
They are doctors
...
... Hanoi Open Mathematical Olympiad 20 08 10
1.3 Hanoi Open Mathematical Olympiad 20 08
1.3.1 Junior Section, Sunday, 30 March 20 08
Q1. How many integers from 1 to 20 08 have the sum of their digits
divisible
by ... Hanoi Open Mathematical Olympiad 20 08 . . . . . . . . 10
1.3.1 Junior Section, Sunday, 30 March 20 08 . . . . . . 10
1.3.2 Senior Section, Sunday, 30 March 20 08 . . . . . . 11
1.4 Hanoi Open Mathematical ... possible value of
a
2
+ b
2
+ c
2
?
1.3.2 Senior Section, Sunday, 30 March 20 08
Q1. How many integers are there in (b, 2008b], where b (b > 0) is given.
Q2. Find all pairs (m, n) of positive integers...
... 7. Find all pairs (x, y) of real numbers satisfying the system
x + y = 3
x
4
− y
4
= 8x − y
Question 8. Find the minimum value of
S = |x + 1| + |x + 5| + |x + 14| + |x + 97| + |x + 1920|.
Question ... respectively.
Question 11. Given a quadrilateral ABCD with AB = BC = 3cm, CD = 4cm,
DA = 8cm and ∠DAB + ∠ABC = 180
o
. Calculate the area of the quadrilateral.
Question 12. Suppose that a > 0, ... Choice Questions
Question 1. An integer is called ”octal” if it is divisible by 8 or if at least on e of its
digits is 8. How many integers between 1 and 100 are octal?
(A): 22; (B): 24; (C): 27;...
... 2
√
2.
Since
√
2 ≤
3
2
, then 2
√
2
≤ 2
√
2. Notice that
t
2
= 2
2+
√
2
≤ 2
2+
3
2
≤ 8
√
2.
Thus q
4
−t
4
= 81 −64 × 2 < 0. It follows that
p < t < q.
3. Let ABCD be a trapezoid with ... − c + d.
Solution. Just count from the diagram of the problem, we get a = 1, b = 4, c = 12, d = 8.
Hence, a − b −c + d = −7.
14. Sovle the equation in the set of integers 16x + 1 = (x
2
− y
2
)
2
.
Solution. ... Then 10
2012
= 9p + 1. Hence,
a = p(9p + 1) + 5p + 1 = (3p + 1)
2
,
which is a perfect square.
8. Determine the greatest number m such that the system
x
2
+ y
2
= 1, |x
3
−y
3
| + |x − y| = m
3
has...
... running the business are subtracted from these profits. If the
Chapter 8: Profit Maximization and Competitive Supply
105
8. An increase in the demand for video films also increases the salaries ... production increases in scale. Doubling inputs will still
Chapter 8: Profit Maximization and Competitive Supply
102
CHAPTER 8
PROFIT MAXIMIZATION AND COMPETITIVE SUPPLY
REVIEW QUESTIONS
1. ... all firms sell an identical good, they will charge the
Formatted: Bullets and Numbering
Chapter 8: Profit Maximization and Competitive Supply
103
minimize cost. Thus, the long-run supply response...
... Law: Points of Choice (19 78)
International Mediation: A Working Guide; Ideas for the Practitioner (with William Ury,
19 78)
Improving Compliance with International Law (1 981 ) Getting Together: ... Together: Building
Relationships As We Negotiate (1 988 )
Books by William Ury
Beyond the Hotline: How Crisis Control Can Prevent Nuclear War (1 985 )
Windows of Opportunity: From Cold War to Peaceful ... Allison and Bruce J. Allyn, 1 989 )
Getting Disputes Resolved: Designing Systems to Cut the Costs of Conflict (with Jeanne
M. Brett and Stephen B. Goldberg, 1 988 )
Getting Past No: Negotiating...