English translation It's a short passage

English translation It's a short passage

Unit 1
MS James: Welcome back! Now, because it's the new semester, I'm going to give you some suggestions. Why don't you write it down? Are you ready?
All: Yes, Ms. James
MS James: you should always speak English in class, and you should write your mistakes in your notebook. Why not write the correct spelling and grammar next to your mistakes? Is there anything else?
Lingling: it's a good idea to check your vocabulary notebook every day
MS James: that's a good idea. How about listening to a tape recorder or reading a newspaper in English? But try not to translate every word
Lingling: I know that everyone should have a pen pal and email each other frequently. I will meet my pen pal in Beijing this semester
MS James: great
Lingling: she joined her school orchestra, and they gave some concerts in China
MS James: is she English?
Lingling: Yes, she is
Daming: great. She can help me with my homework
Unit 2
Many students ask some advice about improving their English. There are three main questions
Li Hao from Hubei wrote: I enjoy watching English movies and listening to authentic English songs. At that time, it took too long. What do you think?
This is the best way to learn English! Talk to your friends about movies or songs, and then guess the awareness of new words. Just enjoy yourself
Sam, from Suzhou, wrote: there is a foreign teacher in our school. However, I am very shy and can't talk to her. What should I do?
When I visited China, many people on the street said to me: where are you from? Do you like China?
These are good questions to start a conversation. Many people feel shy when they speak English, so before you start speaking, take a deep breath and smile! Smiling always helps
Oliver, from Anhui Province, wrote: I want to remember all the new words. I write them down, but I soon forget them. What should I do?
Try to remember eight to ten words a day. Write them on one piece of paper and put them in your bedroom. When you see them, say them and replace them every day. When you are shopping, how about counting English words? Or the English name of every item you see

M5u1 for Tianjin

Can you give me a website

English translation
Last week everyone was trying to Cher

Last week, everyone tried to cheer up the bicycle boy, Jimmy. But this week, Jimmy is happy again. On Monday, he told people who came to the radio station to interview that he had used up all the money to buy old bicycles. He also put up some signs to collect old bicycles and called all his friends to tell them the problem

If the minimum positive period of F (x) is π, and if x ∈ [0. π / 2], f (x) = SiNx
1. Find the analytic expression of F (x) when x ∈ [- π, 0];
2 find the value range of X when f (x) ≥ 1 / 2

(1) When x ∈ (- π / 2,0), - x ∈ [0, π / 2], so f (x) = - f (- x) = - sin (- x) = SiNx;
When x = - π / 2, f (x) = f (- π / 2) = f (- π / 2 + π) = f (π / 2) = 1;
When x ∈ [- π, - π / 2), x + π ∈ [0, π / 2], so f (x) = f (x + π) = sin (x + π) = - SiNx;
Thus ┌ - SiNx, X ∈ [- π, - π / 2),
f(x)= │ 1,x=-π/2,
　└sinx,x∈(-π/2,0]
(2) When x ∈ (- π / 2, π / 2], f (x) = SiNx, let SiNx ≥ 1 / 2, the solution is π / 3 ≤ x ≤ π / 2,
Because the period is π, the value range of X is
K π + π / 3 ≤ x ≤ π / 2 + K π, K is an integer

It is proved that this function is a decreasing function on R
f(x)=（-2＾x+1）/〔2＾(x+1)+2〕

f(x)=（-2＾x+1）/(2＾(x+1)+2)
=(1-2^x)/(2*2^x+2)
=(1/2)*(1-2^x)/(2^x+1)
=(1/2)*(-1-2^x+2)/(2^x+1)
=(1/2)*(-1+2/(2^x+1))
Note that 2 ^ x + 1 is an increasing function, so 2 / (2 ^ x + 1) is a decreasing function
So f (x) is a decreasing function

Find the slope of the following lines and the intercept on the y-axis
1、2x-5y+3=0
2、4x-3y-7=0
3、3y+5=0
4、y=0

1, k = 2 / 5, the intercept on the y-axis is 3 / 5
2. K = 4 / 3, the intercept on the y-axis is - 7 / 3
3. The slope is infinite, so it is not required. The intercept on the y-axis is - 5 / 3
4. It's actually the x-axis. The slope is infinite, so it's not required. The intercept on the y-axis is 0

A simple math problem 100 points
1. The total number of workers in the first workshop and the second workshop is 150. Transfer 15 workers from the first workshop to the second workshop. The number of workers in the two workshops is equal. How about the original number of workers in the second workshop?
2. There are 32 workers in workshop a and 62 workers in workshop B. now 98 new workers are recruited from outside the factory and assigned to two workshops. How can we make the number of workers in workshop B three times that of workshop a?
3. To process 200 parts, Party A processes them separately for 5 hours and then together with Party B for 4 hours to complete the task. Given that Party A processes 2 more parts per hour than Party B, how many parts per hour can party A and Party B process?
4. For a job, Party A will do it alone for 20 hours, and Party B will do it alone for 12 hours. Now Party A will do it alone for 4 hours, and the rest will be done by Party A and Party B. how many hours will it take to complete it?
5. If a store sells a color TV at a 10% discount on its price, it can still make a profit of 20%. If the purchase price of the color TV is 2400 yuan, how much is the price of the color TV?
(solution, equation, integrity, 100 points for many problems)

Suppose there are x people in the first workshop and 150-x people in the second workshop. According to the meaning of the title, X-15 = 150-x + 15 2x = 180 x = 90, so there are 90 people in the first workshop and 60 people in the second workshop. Suppose there are x people in the first workshop. Suppose there are (98-x) people in the second workshop: 62 + (98-x) = 3 * (32 + x) x = 16. Suppose there are 82 people in the second workshop

In an intelligence test, there are 20 multiple-choice questions. The scoring standard is: 5 points for one question, 2 points for one wrong question, no points for no answer, no points for no answer, and Xiaoming has two questions not answered. At least how many questions are correctly answered, so the total score will not be less than 60 points?

Let Xiao Ming answer x questions correctly. According to the meaning of the questions, we can get 5x-2 (20-2-x) ≥ 60. The solution is: X ≥ 1357. Because x is an integer, the minimum value of X is 14. Answer: Xiao Ming answers at least 14 questions correctly, and the total score will not be less than 60

Take a point P on the image of the function y = - 3x, pass through the point P and make the vertical X axis of PA. if the abscissa of the point P is known to be - 2, then the area of the triangle POA (o is the origin of the coordinate) is______ ．

When x = - 2, y = - 3 × (- 2) = 6, the coordinates of point P are (- 2,6), PA = 6, OA = | - 2 | = 2, s △ POA = 12 × PA × OA = 12 × 6 × 2 = 6

A symmetry axis equation of the image with the function y = cos (2x + Pie / 2) is? The answer is x = - Pie / 4,
There is also an equation about the axis of symmetry of the image with the function y = sin (2x + 5 Pie / 2), which is? The answer is x = - Pie / 2,

The general formula of the axis of symmetry of cosine function is: x = K (k takes all integers)
Now let 2x + Pie / 2 = k pie,
Get x = - Pie / 4 + K Pie / 2 (k takes all integers)
The general formula of the axis of symmetry of sine function is: x = k pie + Pie / 2 (k takes all integers)
Now let 2x + 5 faction / 2 = k faction + faction / 2,
Get x = k pies / 2 (k takes all integers)