The monotone decreasing interval of the function y = log12 (− x2 + 6x − 8) is () A. [3,4)B. (2,3]C. [3,+∞)D. [2,3]

The monotone decreasing interval of the function y = log12 (− x2 + 6x − 8) is () A. [3,4)B. (2,3]C. [3,+∞)D. [2,3]


Let y = log12 (− x2 + 6x − 8) = log12t, t = - x2 + 6x-8, then the equation of the axis of symmetry of the parabola t = - x2 + 6x-8 is t = 3. On the parabola t = - x2 + 6x-8, the increasing interval is (2,3), the decreasing interval is [3,4], ∵ y = log12t is the decreasing function, ∵ y = log12t is the decreasing function



The number of female employees in a company is 18 less than 3 / 5 of the total number, while the number of male employees is 5 / 3 of that of female employees. How many employees are there in this company?


Women account for 1 / 8 (1 + 5 / 3) = 3 / 8 of the total
So a total of 18 (3 / 5-3 / 8) = 80 people



X ^ 2-y ^ 2 + MX my 5x ^ 5-15x ^ 3-20x cross multiplication factorization
X ^ 2-y ^ 2 + MX my this is a
5x ^ 5-15x ^ 3-20x this is another way


x^2-y^2+mx-my=x^2+mx-y^2-my=x^2+mx+1/4m^2-y^2-my-1/4m^2=(x+1/2m)^2-(y+1/2m)^2=(x-y)(x+y+m)
5x^5-15x^3-20x=5x(x^4-3x^2-4)=5x(x^2-4)(x^2+1)=5x(x-2)(x+2)(x^2+1)



There are 25 boys in class 51. Boys account for 5 / 9 of the class. How many are there in the class?


25 divided by 5 / 9 = 45



Let X and y satisfy x2 + 2xy-1 = 0, then the value range of X + y is______ .


∵ x2 + 2xy-1 = 0 ∪ (x + y) 2 = 1 + Y2 ≥ 1, then x + y ≥ 1 or x + y ≤ - 1, so the value range of X + y is (- ∞, - 1] ∪ [1, + ∞), so the answer is: (- ∞, - 1] ∪ [1, + ∞)



There are 350 students in the fourth grade of Hongqi primary school, and the number of students in the fifth grade is six seventh of that in the fourth grade,
How many people


There are 350 students in the fourth grade;
Grade 5: 350 × 6 / 7 = 300
Grade 6: 300 × 5 / 6 = 250



How much is 5 after prescribing? Thank you


2.236.



The sum of a, B and C is 80. The number of a is twice that of C, and the number of B is three times that of C. what are the numbers of a, B and C?


C is 8



After the denominator of equation х / 2 - (x-1) / 3 = 1 is removed, the equation obtained is?


3x-2(x-1)=6
x=4



The sum of a and B is 120. The number of a is two fifths more than that of B. find the number of B
We should synthesize the formula


Number b = 120 (1 + 1 + 2 / 5) = 50