what is the value of following expression: 3X(3+7):2
what is the value of y in the following expression
(y+1)+(y+2)+(y+3)+(y+4)+(y+5)=50
(y + 1) + (y + 2) + (y + 3) + (y + 4) + (y + 5) = 50
y + 1 + y + 2 + y + 3 + y + 4 + y + 5 = 50
(y + y + y + y + y ) + (1 + 2 + 3 + 4 + 5) =50
y x (1 + 1 + 1 + 1 + 1) + 15 = 50
y x 5 + 15 = 50
y x 5 = 50 - 15
y x 5 = 35
y = 35 : 5
y = 7
Câu 1:
A farmer plants 450 seeds per row in his field. How many FULL ROWS would he be able to plant with 50000 seeds?
Câu 2:
It takes Abby twice as long as Blair and half as long as Caitlin to ride her bike to school. If it takes Blair 10 minutes to ride her bike to school, how long does it take Caitlin to go to school?
Câu 3:
If you make the 8000km trip, about how much would it cost at today's prices of 3.00 dollar per liter of gas when your car gets 25km per liter?
Câu 4:
What is the next number in the pattern: 25, 23, 21, 19, 17, ...?
Câu 5:
What is the value of the following expression: ?
Câu 6:
The difference between two numbers is 3. Their sum is 33. What are the two numbers?
(write your answer in order from least to greatest and use ";" between the numbers)
Câu 7:
Examining the operation of how to use the number of days to find the number of beans in a classroom jar is shown the table. On day 31, how many beans would be in the jar?
Câu 8:
Use the table of values to help you find the value of 9 feet in inches.
Câu 9:
If and , what is the value of ?
Câu 10:
What is the next number in the pattern: 1, 8, 27, ...?
Find the minimum value of the expression .
Answer: The minimum value is
Bài này không khó cách làm thế này:
x2+y2+2x+2y+2xy+5 = (x2 + y2 +1 +2x + 2y+ 2xy)+4
= (x + y +1 )2 +4
Ta có ( x + y +1)2 >= 0 \(\Rightarrow\) ( x +y +1)2 +4 >= 4
Dấu "=" xảy ra khi và chỉ khi x=y=-0,5
Vậy Min(x+y+1)2 = 4 khi và chỉ khi x=y=-0,5.
Xong rồi đó. Có gì sai sót các bạn góp ý nhé.
x2 + y2 + 2x + 2y + 2xy + 5
= x2 + y2 + 12 + 2x + 2y + 2xy + 4
= (x + y + 1)2 + 4 \(\ge\) 4
Ta có : \(A=x^2+y^2+2x+2y+2xy+5=x^2+y^2+1^2+2xy+2.y.1+2.x.1+5-1\)
\(=\left(x+y+1\right)^2+4\ge4\)
Vậy Amin = 4
What is the remainder when the following expression is divided by 7?
Khi lấy kết quả của phép tính dưới đây chia cho 7 ta sẽ nhận được số dư là bao nhiêu?
(1×2×3) + (2×3×4) + (3×4×5) + (4×5×6) + (5×6×7) + (6×7×8) + (7×8×9)
Find the Minimum value of this expression
\(\sqrt{\left(3x+1\right)^2+1}+\sqrt{\left(3x-3\right)^2+9}\)
What is the value of the digit in the ones place of the following?
A = 2013 x 2013 x 2013 x.......x 2013 x 2013
2011 thừa số 2013
Ta có:
3 x 3 x 3 x 3 x 3 có chữ số tận cũng là 3
=> cứ 5 số 3 nhân vào nhau ra số tận cùng là 3
=> Số cặp là:
2011 : 5 = 402 cặp dư 1
Vậy số tận cùng là:
3 x 3 = 9
Đ/s:..
Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate correct word or phrase that best fits each of the numbered blanks. Fill in the appropriate word in question 58
The first question we might ask is: What can you learn in college that will help you in being an employee? The schools teach (55) _______ many things of value to the future accountant, doctor or electrician. Do they also teach anything of value to the future employee? Yes, they teach the one thing that it is perhaps most valuable for the future employee (56)_______. But very few students bother to learn it. This basic skill is the ability to organize and express ideas in writing and in speaking. This means that your success as an employee will depend on your ability to communicate with people and to (57) _______ your own thoughts and ideas to them so they will (58) _______ understand what you are driving and be persuaded.
Of course, skill in expression is not enough (59) _______ itself. You must have something to say in the first place. The effectiveness of your job depends (60) _______ your ability to make other people understand your work as they do on the quality of the work itself.
Expressing one’s thoughts is one skill that the school can (61) _______ teach. The foundations for skill in expression have to be (62) _______ early: an interest in and an ear (63) _______ language; experience in organizing ideas and data, in brushing aside the irrelevant, and above all the habit of verbal expression. If you do not these foundations (64) _______ your school years, you may never have an opportunity again.
A. both
B. as well
C. either
D. not
Đáp án : A
Both … and… = vừa … và vừa… They will both understand what you are driving and be persuaded. = học sẽ vừa hiểu điều bạn đang nhắm tới và vừa bị thuyết phục
Read the following passage and mark the letter A, B, C or D to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35.
The first question we might ask is: What can you learn in college that will help you in being an employee? The schools teach (31) ______many things of value to the future accountant, doctor or electrician. Do they also teach anything of value to the future employee? Yes, they teach the one thing that it is perhaps most valuable for the future employee to know. But very few students bother to learn it. This basic skill is the ability to organize and express ideas in writing and in speaking. This means that your success as an employee will depend on your ability to communicate with people and to (32) ______ your own thoughts and ideas to them so they will (33) ______understand what you are driving at and be persuaded.
Of course, skill in expression is not enough by itself. You must have something to say in the first place. The effectiveness of your job depends much on your ability to make other people understand your work as they do on the quality of the work itself.
Expressing one's thoughts is one skill that the school can (34) ______ teach. The foundations for skill in expression have to be laidearly: an interest in and an ear (35) ______ language; experience in organizing ideas and data, in brushing aside the irrelevant, and above all the habit of verbal expression. If you do not lay these foundations during your school years, you may never have an opportunity again.
Question 35
A. in
B. for
C. by
D. if
Đáp án B
Giải thích:
Have an ear for: có khả năng nhận diện và bắt chước các âm thanh
Read the following passage and mark the letter A, B, C or D to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35.
The first question we might ask is: What can you learn in college that will help you in being an employee? The schools teach (31) ______many things of value to the future accountant, doctor or electrician. Do they also teach anything of value to the future employee? Yes, they teach the one thing that it is perhaps most valuable for the future employee to know. But very few students bother to learn it. This basic skill is the ability to organize and express ideas in writing and in speaking. This means that your success as an employee will depend on your ability to communicate with people and to (32) ______ your own thoughts and ideas to them so they will (33) ______understand what you are driving at and be persuaded.
Of course, skill in expression is not enough by itself. You must have something to say in the first place. The effectiveness of your job depends much on your ability to make other people understand your work as they do on the quality of the work itself.
Expressing one's thoughts is one skill that the school can (34) ______ teach. The foundations for skill in expression have to be laidearly: an interest in and an ear (35) ______ language; experience in organizing ideas and data, in brushing aside the irrelevant, and above all the habit of verbal expression. If you do not lay these foundations during your school years, you may never have an opportunity again.
Question 34
A. quite
B. really
C. truly
D. hardly
Đáp án B
Giải thích:
A. quite (adv) khá là
B. really (adv) thực sự, dùng để nhấn mạnh
C. truly (adv) thành thật mà nói, dùng trong trường nghĩa thật - giả, không tương đương với really
D. hardly (adv) hiếm khi, gần như không xảy ra
Đọc đoạn sau thì ta thấy thực tế kĩ năng trình bày được dạy ở trường, nên cần điền từ khẳng định, không dùng từ phủ định hardly. Trong các từ còn lại chỉ có really là dùng được vì các từ khác không hợp nghĩa và không đúng trường nghĩa.