1. Cho \(N = 0,7.(2007^{2009}-2013^{1999}) \) . Chứng minh rằng : N là một số nguyên .

2. Tìm x , y biết :

a, \(\dfrac{x-1}{-15}=\dfrac{-60}{x-1}\)

b, \(\dfrac{2x+1}{5}=\dfrac{3y-2}{7}=\dfrac{2x+3y-1}{6x}\)

PLEASE HELP ME!!

Cho 2 đa thức : \(f(x)=4x^2+3x+1 \) và \(g(x)=3x^2-2x+1\)

a, Tính \(h(x)=f(x)-g(x)\)

b, Tìm nghiệm của đa thức \(h(x)\)

c, Tính giá trị của đa thức \(h(x)\) với \((x^2-9)^{2011}=(\dfrac{3}{4}-81).(\dfrac{3^2}{5}-81)^2.(\dfrac{3^3}{6}-81)^3...(\dfrac{3^{2010}}{2013}-81)^{2010}\)

Cho các đa thức : \(M(x)=2x^5-5x^3-5x+2 \)

\(N (x)=2x^5-3x^4+4x^2+5x-6\)

\(P(x)=3x^4-2x^3+6x-5\)

a, Tính \(M(x)+N(x)+P(x)\)

b, Tính \(M(x)-N(x)+P(x)\)

c, Tính \(M(x)-N(x)-P(x)\)

Cho \(f(x)=a_0+a_1x+a_2x^2+...+a_{99}x^{99}+a_{100}x^{100}\)

\(g(x)=b_0+b_1x+b_2x^2+...+b_{99}x^{99}+b_{100}x^{100}\)

với \(a_0,a_1,...,a_{99},a_{100},b_0,b_1,...,b_{99},b_{100}\)là các hằng số .

a, Tính \(f(1)+2g(1)\)

b, Tính \(2f(-1)-g(-1)\)

c, Tính \(f(n)+g(n)\) với n là hằng số

Help me!!

Finish each of the following sentences in such a way that it means exactly the same as the sentences printed before or using the given words .

1. You remembered to post the letter , didn't you ?

--> You didn't

2. Althought his leg was broken , he managed to get out of the car .

--> Despite

3. Please don't interrupt me while I'm speaking .

--> I'd rather

4. The people who were at the meeting will say nothing to the press .

--> Nobody who

5. I never intended to go to the meeting .

--> I never had

6. " If I were you , I would not trust Peter " , she told Tom .

--> She advised Tom

7. You can rely on me to do my best .

--> I promise

8. Nobody has cleaned the streets this week .

--> The streets

9. Michael didn't return to his hometown until he was at the age of 70 .

--> Not until

Use the following sets of words and phrases to write full sentences about the advantages of the Internet . Make all the changes and addtions if necessary .

Dear John ,

1. Thank / much / invitation / spend / this weekend / you / family / country house .

-->

2. I / love / come unfortunately / I / be unable / accept .

-->

3. My aunts / live / England / going / stay / us / November \(13^{th}\) / this Sunday .

-->

4. As / it be / first visit / country / I plan / show / them / around .

-->

5. I like / take / them / visit / Ho Chi Minh's mausoleum / One - Pillar pagoda .

-->

6. We also / go to visit / General Vo Nguyen Giap's tomb in Quang Binh / if / have / time .

-->

7. It be / possible / visit you / December instead ?

-->

8. I / be / you / few days / after / aunts / go back / Singapore .

-->

9. Please tell / following weekend / be convenient .

-->

10. I / look / see / you / all again . Give / regards / family .

-->

Please help me!!

Read the text below and think of one word which best fits each space .

The Culture House at my neighborhood regularly (1)________ a wide range of activities for people of different age groups in the community . Last week , school children and their parents participated (2)_______ an activity called " Walk and Talk " . (3)_______ activity aimed to promote active lifestyles , educate road safety and improve family relationships . The (4)_______ gathered at the yard in front of the Culture House at 7.00 a.m . After listening to a brief speech (5)_______ by the organizer , they started a walk around the local area for about two hours . They were encouraged to observe the (6)_______ around them , collect the objects like bottles , plastic bags etc . Along the way and talk about (7)______ they could see , hear and smell . (8)_______ walked , ran , talked to their friends and theirs parents . Parents discovered that their children (9)_______ very active and happy beacause their parents listened to them and did not say " Hurry up , we're late " . All participants were interested in the activity (10)_______ it was practical , educational and easy to organize .