Let's know the cubic power of a = x + the quadratic power of 2x, the cubic power of Y + 2y-1, the cubic power of B = 3 + y + the quadratic power of 2x, the cubic power of Y + 2x and B + C = 2A to find C Given a = x ^ 3 + 2x ^ 3 y + 2Y ^ 3 - 1 b=3+y^3+2x^2 y+2x^3 And B + C = 2A for C

Let's know the cubic power of a = x + the quadratic power of 2x, the cubic power of Y + 2y-1, the cubic power of B = 3 + y + the quadratic power of 2x, the cubic power of Y + 2x and B + C = 2A to find C Given a = x ^ 3 + 2x ^ 3 y + 2Y ^ 3 - 1 b=3+y^3+2x^2 y+2x^3 And B + C = 2A for C

∵b+c=2a
∴c=2a-b
=2（x^3+2x^3 y+2y^3 -1）-（3+y^3+2x^2 y+2x^3）
=2x^3+4x^3 y+4y^3 -2-3-y^3-2x^2 y-2x^3
=3y³+4x³y-2x²y-5

M is a positive integer. Given that the system of quadratic equations MX + 2Y = 103x − 2Y = 0 has integer solution, find the value of M

On the system of equations of X and Y: MX + 2Y = 10, ① 3x − 2Y = 0, ②, ① + ② get: (3 + m) x = 10, i.e. x = 103 + m, ③ is substituted into ② to get: y = 153 + m, ④, ∵ the solution of the equation x and y are integers, ∵ 3 + M can divide both 10 and 15, i.e. 3 + M = 5, the solution M = 2. So the value of M is 2

Given that the solution of the system of equations (MX + 4Y = 10) (3x + 2Y = 7) satisfies x-2y = 3, find the value of M

Solve the equations
3X+2Y=7
X-2Y=3
X = 5 / 2, y = - 1 / 4,
Substituting X and Y into: MX + 4Y = 10, we get:
5/2m-1=10
m=22/5.

M is a positive integer. Given that the system of quadratic equations MX + 2Y = 103x − 2Y = 0 has integer solution, find the value of M

On the system of equations of X and Y: MX + 2Y = 10, ① 3x − 2Y = 0, ②, ① + ② get: (3 + m) x = 10, i.e. x = 103 + m, ③ is substituted into ② to get: y = 153 + m, ④, ∵ the solution of the equation x and y are integers, ∵ 3 + M can divide both 10 and 15, i.e. 3 + M = 5, the solution M = 2. So the value of M is 2

A cuboid has a surface area of 78 square centimeters, a bottom area of 15 square centimeters, and a bottom perimeter of 16 centimeters. What is the volume of the cuboid?

78-15x2=48 48/16=3 15x3=45

The relationship between Tan and COS sin?

tanα=sinα/cosα
This is based on the definition of trigonometric function;

If LGA, LGB are the two real roots of the equation 2x ^ 2-4x + 1 = 0, find lgab, LGA, LGB

lga+lgb=2,lgalgb=1/2
lgab=2
2x^2-4x+1=0
x1=(2+√2)/2
x1=(2-√2)/2
lga=(2+√2)/2,lgb=(2-√2)/2
Or LGA = (2 - √ 2) / 2, LGB = (2 + √ 2) / 2

Function y = radical x + 1 / x, the value range of independent variable x, the molecular energy is equal to 0? Is not an inverse proportional function?
What I mean is that the answer x ≥ - 1 and not 0 has a problem, X can't be - 1, this is an inverse proportion function, the value of K can't be 0

This is not an inverse scale function
Molecule cannot be 0
x>0

The product of a number multiplied by 0.8 is seven less than that of 45 multiplied by 0.26. What is the number?

Let this number be X
0.8*x=45*0.26-7
0.8x=11.7-7
0.8x=4.7
x=5.875

For any differentiable function f (x) on R, if (x-1) f ′ (x) ≥ 0, then ()
A. f（0）+f（2）＜2f（1）B. f（0）+f（2）≤2f（1）C. f（0）+f（2）≥2f（1）D. f（0）+f（2）＞2f（1）

According to the meaning of the problem, when x ≥ 1, f '(x) ≥ 0, the function f (x) is an increasing function on (1, + ∞); when x < 1, f' (x) ≤ 0, f (x) is a decreasing function on (- ∞, 1), so when x = 1, the minimum value of F (x) is also the minimum value, that is, f (0) ≥ f (1), f (2) ≥ f (1), f (0) + F (2) ≥ 2F (1)