1. He finds doing the gardening very exciting.
2. Is that the best hotel you can find?
3. Students should wear uniforms at school.
4. He enjoys collecting stamps.
5. Children are interested in taking part in outdoor activities.
6. It is useful for us to carve wood.
7. Peter is the most intelligent student in my class.
8. Mary speaks English more fluently than I do.
9. Mary is keen on reading books with her friends.

1. Doing the gardening gives him a lot of excitement

- He finds ........doing the gardening exciting...........................................................

2. Can't you find a better hotel than that one?

- Is that .........the best hotel you can find..........................................................?

3. It is a good idea for students to wear uniforms at school.

- Students ......should wear uniforms at school.............................................................

4. Collecting stamps always give him pleasures.

- He enjoys ..........collecting stamps.........................................................

5. Children like talking part in outdoor activities (interested)

- Children ...........are interested in taking part in outdoor activities........................................................

6. Carving wood is useful for us.

- It is ............useful for us to carve wood.......................................................

7. No one in my class is more intelligent than Peter.

- Peter is ....the most intelligent person in my class...............................................................

8. Mary is a more influent English speaker than I am.

- Mary speaks .......English more fluently than I do............................................................

9. Mary likes reading books with her friends (keen)

- Mary ....is keen on reading books with her friends...............................................................

3.4

a) Ta có: 

`|5-2/3x|>=0` với mọi x

`|2/3y-4|>=0` với mọi y 

`=>|5-2/3x|+|2/3y-4|>=0` với mọi x

Mà: `|5-2/3x|+|2/3y-4|=0`

Dấu "=" xảy ra: `5-2/3x=0` và `2/3y-4=0`

`<=>2/3x=5` và `2/3y=4`

`<=>x=5:2/3=15/2` và `y=4:2/3=6`

b) 

`|2/3-1/2+3/4x|+|1,5-3/4-3/2y|=0`

`=>|1/6+3/4x|+|3/4-3/2y|=0`

Ta có:

`|1/6+3/4x|>=0` với mọi x

`|3/4-3/2y|>=0` với mọi y

`=>|1/6+3/4x|+|3/4-3/2y|>=0` với mọi x 

Mà: `|1/6+3/4x|+|3/4-3/2y|=0`

Dấu "=" xảy ra: `1/6+3/4x=0` và `3/4-3/2y=0`

`<=>3/4x=-1/6` và `3/2y=3/4`

`<=>x=-1/6:3/4=-2/9` và `y=3/4:3/2=1/2` 

\(\dfrac{x-1}{69}+\dfrac{x-2}{68}=\dfrac{x-5}{65}+\dfrac{x-6}{64}\)

\(\Leftrightarrow\left(\dfrac{x-1}{69}-1\right)+\left(\dfrac{x-2}{68}-1\right)-\left(\dfrac{x-5}{65}-1\right)-\left(\dfrac{x-6}{64}-1\right)=0\)

\(\Leftrightarrow\dfrac{x-70}{69}+\dfrac{x-70}{68}-\dfrac{x-70}{65}-\dfrac{x-70}{64}=0\)

\(\Leftrightarrow\left(x-70\right)\left(\dfrac{1}{69}+\dfrac{1}{68}-\dfrac{1}{65}-\dfrac{1}{64}\right)=0\)

\(\Leftrightarrow x-70=0\) (do \(\dfrac{1}{69}+\dfrac{1}{68}-\dfrac{1}{65}-\dfrac{1}{64}\ne0\))

\(\Rightarrow x=70\)

\(P=\left(-\dfrac{1}{7}\right)^0+\left(-\dfrac{1}{7}\right)^1+\left(-\dfrac{1}{7}\right)^2+...+\left(-\dfrac{1}{7}\right)^{2017}\)

\(\left(-\dfrac{1}{7}\right).P=\left(-\dfrac{1}{7}\right)^1+\left(-\dfrac{1}{7}\right)^2+...+\left(-\dfrac{1}{7}\right)^{2017}+\left(-\dfrac{1}{7}\right)^{2018}\)

\(P-\left(-\dfrac{1}{7}\right)P=\left(-\dfrac{1}{7}\right)^0-\left(-\dfrac{1}{7}\right)^{2018}\)

\(\dfrac{8}{7}P=1-\dfrac{1}{7^{2018}}\)

\(\dfrac{8}{7}P=\dfrac{7^{2018}-1}{7^{2018}}\)

\(P=\dfrac{7^{2018}-1}{8.7^{2017}}\)

Cứu tui với mn ơi

1 Hi, Gary. Are you free tomorrow morning?

2 Hi, Mike. Yeah, what's up?

3 What are you doing tomorrow morning?

4 Nothing. I'm just staying at home

5 I'm playing basketball at City Sports Center. Do you want to come?

6 Sure. Where can we meet?

7 Let's meet at the coffee shop next to the sports center

8 Okay. What time?

9 How about nine o'clock?

10 OK. See you then

Bạn đăng lại đề bài nhé

\(a,\left(\dfrac{2}{3}\right)^{x+2}=\dfrac{8}{27}\\ =>\left(\dfrac{2}{3}\right)^{x+2}=\left(\dfrac{2}{3}\right)^3\\ =>x+2=3\\ =>x=3-2\\ =>x=1\\ b,\left(\dfrac{1}{2}\right)^{x+1}=\dfrac{1}{8}\\ =>\left(\dfrac{1}{2}\right)^{x+1}=\left(\dfrac{1}{2}\right)^3\\ =>x+1=3\\ =>x=3-1\\ =>x=2\)

lẹ mn ơiii

1 She's interested in reading comics

2 Because today is Saturday, I don't go to school