It is known that y + A is proportional to X-B [where A.B is a constant], and when x = 3, y = 5; when x = 2, y = 2

It is known that y + A is proportional to X-B [where A.B is a constant], and when x = 3, y = 5; when x = 2, y = 2

Because: y + a = K (X-B),
When x = 3, y = 5; when x = 2, y = 2
5+a=K(3-b),
2+a=K(2-b),
K=3
So the expression of the function is y = 3x-3b-a

Let f (x) = x + (a ㏑ x) / x, where a is a constant. (1) it is proved that for any a ∈ R, the image of y = f (x) is always over a fixed point
(2) If for any a ∈ (0, M], y = f (x) is always a de increasing function over the domain of definition, the maximum value of M is obtained

1. When x = 1, f (x) is constant 12. If the derivation is 1 + (A / X * x-alnx) / X & sup2; = 1 + (a-alnx) / X & sup2;, then the expression is constant and nonnegative in the domain of definition, and a (lnx-1) - X & sup2; < = 0 is constant, then the derivation is a / x-2x, making it 0, and then x = root (A / 2). In this case, the second derivative is negative, and it only needs to satisfy a (...)

Given that the distance from a point P on the ellipse x ^ 2 / 9 + y ^ 2 / 5 = 1 to the left focus is 4 / 3, then what is the distance from P to the right guide line?

For ellipse X & sup2 / 9 + Y & sup2 / 5 = 1
a²=9,a=3
b²=5,
c²=a²-b²=9-5=4
c=2
e=c/a=2/3
Distance from point P to right focus = 2a-4 / 3 = 6-4 / 3 = 14 / 3
Then the distance to the right guide line = (14 / 3) / E = 14 / 3 × 3 / 2 = 7

How to do 5 out of 17 times 18 minus 17
How to do 5 out of 17 times 18 minus 5 out of 17

=5/17*18-5/17*1
=5/17*(18-1)
=5/17*17
=5

Solving the equation 4x minus 8 out of 15 equals 7 out of 15

4X-8/15=7/15 4X=1 X=1/4

What fraction of a day is 12:00?

12 △ 24 = 1 / 2 day

How to divide 11 out of 12 and 17 out of 18?

11 / 12 = 12x3 / 11x3 = 33 / 36
17 out of 18 = 18x2 out of 17x2 = 34 out of 36

The solution of absolute value equation
｜x-5｜+x-5=0
3（｜x｜-1）=｜x｜/5+1
｜4x-3｜-2=3x+4
If ｜ 1-x ｜ = ｜ 1 + X ｜, the result of ｜ X-1 ｜ reduction is

1. If the equation holds, the solution: Discussion: 1) x is greater than or equal to 5, X-5 + X-5 = 0, x = 52) x is less than 5, 5-x + X-5 = 0, that is, it is constant in the range, so x is less than or equal to 52. As long as the term is shifted, and then the solution of the same kind is combined, x = 10 / 7, so x = plus or minus 10 / 73

25 kg is equivalent to a few parts of a ton

25 kg is one fortieth of a ton

The maximum value of function f (x) = (1 / 3) ^ X in the interval [- 2, - 1]

When x = - 2, the maximum is 9