Three different Chinese books, two different mathematics books, randomly take out two. (1) the probability of exactly taking out one mathematics book (2) The probability of getting a math book out

Three different Chinese books, two different mathematics books, randomly take out two. (1) the probability of exactly taking out one mathematics book (2) The probability of getting a math book out

（1）C(2,1)C(3,1)/C(5,2)
Choose one of two math books and one of three Chinese books
(2)1-C(3,2)/C(5,2)
Rule out the absence of a Book of mathematics
(2) Another solution is direct method
Choose one math book and two math books
[C(3,1)C(2,1)+C(2,2)]/C(5,2)

There are two different mathematics books and three different Chinese books. Find the probability that one of them is mathematics book

40%
4／5×1／2＝40%
2×2／5×1／2＝40

General expression of quadratic function and transformation vertex expression
y=4X²+8X
y=¼x²-x+3

y=4x²+8x
=4x²+8x+4-4
=4(x²+2x+1)-4
=4(x+1)²-4
=4[x-(-1)]²+(-4)
y=¼x²-x+3
=¼x²-x+1-1+3
=¼(x²-4x+4)+2
=¼(x-2)²+2

If the factorization factor of the polynomial x2 MX + 35 is (X-5) (X-7), then the value of M is ()
A. 2B. -2C. 12D. 8

∵ (X-5) (X-7) = x2-12x + 35, ∵ - MX = - 12x, the solution is m = 12

The side length of square ABCD is 2, the point E is on AB, the quadrilateral efgb is also square, and the square ABCD is distributed on both sides of ab. find the area of triangle AFC

The angle CAF is a right angle, so the area of triangle AFC = 0.5 * ac * AF = 0.5 * 2 * radical 2 * radical 2 = 2

Which quadrant must the image of a linear function y = K (K-X) pass through

y=k(k-x)
=-KX + K square
Because K ≠ 0, and - K can be positive or negative, K square is positive, so it must pass the first quadrant and the second quadrant

What is the difference between continuous partial derivative and continuous partial derivative?

The continuous partial derivative is continuous in the domain of definition, that is, the function f (x, y) is differentiable everywhere, but its partial derivative is not continuous. The expression of F (x, y) is as follows: when XY ≠ 0, (x ^ 2) * sin (1 / X) + (y ^ 2) * sin (1 / y) when x ≠ 0, y = 0, (x ^ 2) * sin (1 / x) when x = 0, y ≠ 0, (y ^ 2) * si

Wang Wei's average score of Chinese, mathematics and English is 94, and he got 91 in Chinese. How many points did he get in English?

English = 94 × 3-91-95 = 96 points

Translate the image of quadratic function y x2 along the y-axis. Write out the expression of the function image after translation

Y = x ^ 2 + 5x + 4 = (x + 1) (x + 4) and X-axis intersection (- 1,0) (- 4,0)
Therefore, it is necessary to shift 1 or 4 units to the right
y=x(x+3)=x^2+3x
y=x(x-3)=x^2-3x

How to solve the problem that the square of x minus 2 times follows 3x plus 2 equals 0

If it's 3x-2, it's solvable, and + 2 is hard
x^2-2*√(3x-2)=0
=>x^2=2*√(3x-2)
=>x^4=12x-8
=>x^4-12x+8=0
=>(x-2)(x^3-2x^2-4x-4)=0
=>x=2