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For any rational number x, x-3 + X-6, is there the smallest absolute value? Why For any rational number x, x-3 + X-6, is there the smallest absolute value and why
No, the absolute value is greater than or equal to zero, and the minimum absolute value is zero
The definition of rational numbers a and B is as follows: a * b = (a-b) - (a + b), find the value of (- 3) * (- 5)
The * given by the title is a user-defined symbol, as long as it is calculated according to the formula
（-3)*(-5)
=(-3+5)-(-3-5)
=2+8
=10
How to get rid of the absolute value sign of an absolute value in the first semester of junior high school
Please list each case of addition, subtraction, multiplication and division, such as greater than 0, less than 0, equal to 0, and so on,
Such as / A + B / = - a-b
If a ± B ≥ 0, then / a ± B / = a ± B, for example / 2 + 1 / = 2 + 1 / 2-1 / = 2-1, then / A + B / = - A-B / A-B / = b-a
78 × 3% 5 + 22 ／ 5% 3 is calculated by simple method
Hello!
5.78 × 5% of 3 + 22 △ 3% of 5
=5.78 × 5 / 3 + 0.22 × 5 / 3
=(5.78 + 0.22) × 5 / 3
=6x3 / 5
=10
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Calculate 1 + 1 / 3 + 1 / 9 + 1 / 27 + 1 / 3 to the 100th power =?
And 1 plus 1 / 1 plus 1 / 1 plus 1 / 1 plus 1 / 1 plus 1 / 1 plus x equals 1.65.
The original formula = (1 - (1 / 3) to the 101st power) / (1-1 / 3) = 3 / 2-1 / (2 * 3 to the 100th power)
About 3 / 2
The abscissa of an intersection point between the image with positive scale function y = x and the image with inverse scale function y = K / X (k is constant, K is not equal to 0) is 2
When x = - 3, the corresponding function value of the inverse proportion function y = x of K is obtained
Abscissa x = 2 on y = x
Then y = 2
Substituting y = K / X
Then k = xy = 4
So y = 4 / X
So x = - 3
y=-4/3
1/2+5/6-7/12+9/20-11/30+13/42-15/56
Easy!
1/2+5/6-7/12+9/20-11/30+13/42-15/56
=1/2+(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-(1/5+1/6)+(1/6+1/7)-(1/7+1/8)
=1/2+1/2-1/8
=7/8
When k=___ The intersection of the line x-2y-2k = 0 and the line 2x-3y-k = 0 is on the curve X ^ + y ^ = 9
Such as the title
x=2y+2k
Substituting 2x-3y-k = 0
4y+4k-3y-k=0
y=-3k
x=2y+2k=-4k
x²+y²=16k²+9k²=9
k²=9/25
k=±3/5
The solution of inequality (x + a) (x-2a) / A + 1 > 0 (a is constant, a ≠ - 1) about X
(x + a) (x-2a) / A + 1 > 0 (a is constant, a ≠ - 1)
When 0 > a > - 1, then a + 1 > 0
(x+a)(x-2a)>0
(x + a > O and x-2a > 0)
x> - A and x > 2A
x>-a
Or (x + A0)
x> 2A or X
0.36 △ 1.5 = vertical calculation
RELATED INFORMATIONS
- 1. What is the square of rational number 2?
- 2. Let a and B be rational numbers. Judge whether the following statements are correct and explain the reasons ① If a = - B, then | a | = | B| ② If | a | = | B |, then a = - B
- 3. The equivalent proposition to the proposition "if a ∈ m, then B ∉ m" is () A. . if & nbsp; a ∉ m, then & nbsp; B ∉ MB. If B ∉ m, then & nbsp; a ∈ MC. If & nbsp; a ∉ m, then & nbsp; B ∈ MD. if B ∈ m, then & nbsp; a ∉ M
- 4. a. B ∈ R, then the equivalent proposition of a square + b square = 0 is
- 5. Judge whether the following propositions are true or false, and give reasons (1) If a + B + C = 180 °, then a, B and C must be the three inner angles of the triangle (2) If a ∩ B ≠ &;, B is really contained in C, then a ∩ C ≠ &;
- 6. Judge the true proposition or false proposition and explain the reason
- 7. Judge whether the following propositions are true or false. If they are true, give reasons. If they are false, give counter examples (1) If a is a real number, then the square plus 1 is greater than 0 "; (2) If the square of a is greater than the square of B, then a is greater than B; (3) A quadrilateral with equal sides is a square
- 8. If two sides of an angle are parallel to each other, is it true that the two angles are equal!
- 9. If the quadratic coefficient of equation - 5x + 6x + 3 = 0 is changed to one, why can the equation be changed?
- 10. Given a ＞ 2, B ＞ 2, try to judge whether the equation X2 - (a + b) x + AB = 0 and X2 ABX + (a + b) = 0 have common roots. Please explain the reason
- 11. Write down the inverse proposition of the following proposition, and judge the truth of the original proposition and the inverse proposition. (1) natural number must be rational number. (2) if | a | = | B | & _; then a = B (3) If a = B, then a ^ 3 = B ^ 3
- 12. Write a proposition that the sum of two rational numbers is the inverse proposition of rational numbers. If the inverse proposition is not sure of the answer, don't mistake people!
- 13. If the real number a B satisfies a + B < 4, then a = 1 and B = 2 find its inverse proposition, no proposition, inverse no proposition, and its true and false
- 14. Please give a counter example to show that the following proposition is false 1. Equal angles are right angles 2, if a + B = 0, then a = 0, B = 0 3. If ∠ 1 is greater than ∠ 2, then ∠ 1 is an obtuse angle
- 15. A counterexample is given to show that the following proposition is a false proposition, [1] if a > b, then 1 / A
- 16. If AB = 0, then a = 0 is a false proposition
- 17. Judge whether the following propositions are true or false? If false, give counter examples; if true, give proof (1) An angle must be less than its complement (2) If two lines are parallel, the inner angles of the same side must not be equal
- 18. Give counter examples to prove that the following propositions are false propositions (1) if a > b, then 1 / A
- 19. The counter example is used to show that the proposition "if M > 1, then x ^ 2-2x + M = 0 has real root" is a false proposition
- 20. Judge whether the following propositions are true or false. If they are true, please give proof. If they are false, please give counter examples 1. If the two sides of a corner are parallel to the two sides of the other corner, then the two corners are equal 2. Two triangles of equal area are congruent triangles 3. The sum of the distances from any point in the equilateral triangle to the three sides of the triangle is equal to the height of the equilateral triangle 4. There are two congruent triangles with equal heights on both sides and one of them 5. There are two congruent triangles whose heights on the two sides and the third side correspond to the same