Let him tell you the way to the library? ha-ha,

Let him tell you the way to the library? ha-ha,

Let him tell you the way to the library

The position of AB on the number axis is shown in the figure B

Because a > 0, B

If the monotone decreasing interval of y = x ^ & # 178; + BX + 2 is (- ∞, - 1), the value of B is obtained

If the opening of the parabola is upward, then the left side of the axis of symmetry is the minus interval
So - B / 2 = - 1
b=2

The park has two new British - funded rides

The park has set up two new amusement Projects Aided by Britain

Merge congeners 2 (X-Y) &# 178; - 3 (X-Y) + 5 (X-Y) &# 178; + 3 (X-Y)

2(x-y)²-3(x-y)+5(x-y)²+3(x-y)
= 2(x-y)²+5(x-y)²-3(x-y)+3(x-y)
=7(x-y)²

What is the inverse function of y = 1-lnx?
Forget

lnx=1-y
x=e^(1-y)
So the inverse function y = e ^ (1-x)

In the sports meeting, Xiaogang, Xiaoqiang and Xiaoli all took part in the 1000 meter race. During the run, Xiaogang and Xiaoli were 113 meters apart, Xiaoqiang and Xiaoli 201 meters apart. If Xiaoli was between Xiaogang and Xiaoqiang, how many meters apart was Xiaogang and Xiaoqiang? If Xiaoli was in the front, how many meters apart was Xiaogang and Xiaoqiang?

The distance between Xiaogang and Xiaoqiang is 113 + 201 = 314
The distance between Xiaogang and Xiaoqiang is 201-113 = 88

Given the function f (x) = x / (1-ax) + ln (1-x) (1) when a = - 1, discuss its monotonicity (2) if x is (negative infinity, 0), the function is equal to or greater than 0, and find the value range of A

(1) , f (x) '= 1 / (x + 1) ^ 2 + 1 / (x-1) find the point where the derivative is equal to 0, that is, f (x)' = 0, the solution is x = 0, x = 3x, in the interval (0,3), f (x) 'is greater than 0, then f (x) is monotonically increasing, in the interval from negative infinity to 0 and from 3 to positive infinity, f (x)' is less than or equal to 0, then f (x) is monotonically decreasing (2), x = 0, f (x)

How to match the general form of function into vertex form by formula method

First, the function is generalized to a model with complete square difference, and the coefficient of X is changed to 1
For example: 5x & # 178; - 50x + 63
=5 (X & # 178; - 10x) + 63 [first change the coefficient of X to 1]
=5(x²-10x+25²-25²)+63
=5[(x-5)²-25²]+63
=5(x-5)²-25²×5+63
=5(x-5)²-3062

Xiao Hua and Xiao Ming both go to the library to read books. Xiao Hua goes to the library every five days, Xiao Ming goes to the library every seven days, and meets Hou in the library on July 18
What month and what day did they meet again

The least common multiple of 57 is 5 * 7 = 35 days
35-13 days (days remaining in July) = 22 days
Meeting on August 22