How many integers x that satisfy both inequation such that /x/+5 < 7 and /x-3/ > 2
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How many integers x that satisfy both inequation such that /x/+5 < 7 and /x-3/ > 2
dấu / / là dấu giá trị tuyệt đối nha, thanks
How many integers x are there such that 1 < │x - 3│ < 100.
=> The x numbers are 5 \(\le\) x \(\le\) 102
So the numbers to look for x = { 5,6,7,8,...,102 }
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Biến đổi bất đẳng thức ta được:
1 < x - 3 và 1 < 3 - x. Suy ra: x > 4 và x < 2 (1)
x - 3 < 100 và 3 - x < 100. Suy ra: x < 103 và x > 2 (1)
Từ (1) và (2) suy ra: -97 < x < 2 và 4 < x < 103
Xét: -97 < x < 2, ta có: Số số nguyên thỏa mãn là: [1 - (-96)] : 1 + 1 = 98 (số)
Xét: 4 < x < 103, ta có: Số số nguyên thỏa mãn là: (102 - 5] : 1 + 1 = 98 (số)
Vậy: Số số nguyên thỏa mãn 1 < │x - 3│ < 100 là: 98 + 98 = 196 (số)
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Suppose that x, y, z are positive integers such that x > y > z > 663 and x, y, z satisfy x + y + z = 1998 and 2x + 3y + 4z = 5992. Find x, y, z
thằng này số nhọ , hai năm rồi méo có ai trả lời
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toan quoc te nhaQuestion 1:There are two parallel lines in the figure. What is the value of x? Answer: x Question 2:ABC and RTS are similar triangles.The value of x is Question 3:If x0 and 5x+8+|3x|0 then xQuestion 4:I am a multiple of 70 between 400 and 600. My tens digit is odd. Who am I?Answer: Question 5:How many triples of integers (a,b,c) are there such that ? Answer: triples.Question 6:Each of the 37 students in the grade 8 at a school has one dog or one cat or both a dog and a cat. T...
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toan quoc te nha
Question 1:
There are two parallel lines in the figure. What is the value of x?
Answer: x =
Question 2:
ABC and RTS are similar triangles.
The value of x is
Question 3:
If x<0 and 5x+8+|3x|=0 then x=
Question 4:
I am a multiple of 70 between 400 and 600. My tens digit is odd. Who am I?
Answer:
Question 5:
How many triples of integers (a,b,c) are there such that
?
Answer: triples.
Question 6:
Each of the 37 students in the grade 8 at a school has one dog or one cat or both a dog and a cat. Twenty students have a dog and 24 students have a cat.
How many students have both a dog and a cat?
Answer: students.
Question 7:
The sum of 2 positive integer numbers is greater than their product if the smaller number is
Question 8:
How many different real numbers satisfy the following equation?
Answer:
Question 9:
The area of trapezoid ABCD is 180 .The altitude is 8 cm,AD is 10 cm,and BC is 17 cm.
What is AB,in centimeters?
Answer: cm.
Question 10:
There are 115 cars in a village of 26 families. Each family has either 4 or 5 cars.
How many families have 4 cars?
Answer: families.
Number 6 is written as sum of two positive integers in three different ways: $6=1+5=2+4=3+3.$ (order does NOT matter). That is, there are exactly three different pairs of positive integers that add to make six. How many pairs of positive integers that add to make 1000?
1.If 2x-y5 then the value of Mleft(x+2y-3right)^2-left(6x+2yright)left(x+2y-3right)+9x^2+6xy+y^22.The free coefficient in the following poly nomaial: left(2x-2right)left(x+1right)left(7-x^2right)is:3.The greatest integer number x such that frac{2x-1}{x-3}-1 0 is:4.How many of the integer n such that satisfy the inequality left(n-3right)^2-left(n-4right)left(n+4right) 43 are less than 3?5.The opposite fraction of frac{x-2}{7-x} is:
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1.If 2x-y=5 then the value of M=\(\left(x+2y-3\right)^2-\left(6x+2y\right)\left(x+2y-3\right)+9x^2+6xy\)
\(+y^2\)
2.The free coefficient in the following poly nomaial: \(\left(2x-2\right)\left(x+1\right)\left(7-x^2\right)is:\)
3.The greatest integer number x such that \(\frac{2x-1}{x-3}-1< 0\) is:
4.How many of the integer n such that satisfy the inequality \(\left(n-3\right)^2-\left(n-4\right)\left(n+4\right)< =43\) are less than 3?
5.The opposite fraction of \(\frac{x-2}{7-x}\) is:
1 How many triples of integers (a,b,c) are there such that
?
2
ABC and RTS are similar triangles.
The value of x is 3 The sum of 2 positive integer numbers is greater than their product if the smaller number is
2) Vì ABC và RTS là 2 tam giác đồng dạng nên:
\(\frac{AB}{RT}=\frac{BC}{TS}\Leftrightarrow\left(\frac{8}{4}\right)=\frac{x}{5}\Rightarrow x=10\)
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Let x,y be the positive integers such that \(3x^2+x=4y^2+y\) . Prove that x-y is a perfect integer.
How many ordered pái of interger (x;y) that satisfy the equation \(2x^2+y^2+xy=2\left(x+y\right)\)
4x2+y2+2xy=4x+4y
=>(x2+2xy+y2)+3x2+y2-4x-4y=0
=> (x+y)2+3\(\left(x^2-\dfrac{4}{3}x\right)+\left(y^2-4y\right)=0\)
=> (x+y)2+3\(\left(x^2-2.\dfrac{4}{6}+\dfrac{16}{36}-\dfrac{16}{36}\right)+\left(y^2-4y+4\right)-4=0\)
=> (x+y)2+3\(\left(x-\dfrac{4}{6}\right)^2-\dfrac{4}{3}+\left(y-2\right)^2-4=0\)
=> (x+y)2+3\(\left(x-\dfrac{4}{6}\right)^2+\left(y-2\right)^2=\dfrac{16}{3}\)
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