Is f (x) = x ^ 5 + 2x ^ 3 + 3x an odd function Wait for answers online process

Is f (x) = x ^ 5 + 2x ^ 3 + 3x an odd function Wait for answers online process

① It is an odd function [that is, f (- x) + F (x) = 0]
② Can also use function addition and subtraction method to do, three odd function addition or odd function

If f (x) is an odd function, then - f (3-2x) =? Is it equal to f (3 + 2x) or F (- 3 + 2x)?

F (x) is an odd function,
Then - f (3-2x) = f [- (3-2x)] = f (2x-3)

Solution (10x + 1) (500-10x) = 8000
(10X+1)(500-10X)=8000
I've been calculating for a long time, but it's still wrong. I'm depressed

(10X+1)(50-X)=800
500x-10x^2+50-x=800
10x^-499x+750=0
It's not a rational number
Don't worry, high card won't give such a troublesome calculation

4x-5y = 0, (x, y are not equal to 0), X and y
Is it in proportion
Is it proportional?

X=5 Y=4
X=10 Y=8
......
X=-5 Y=-4
X=-10 Y=-8
......
4X=5Y
X/Y=5/4
This is a proportional relationship, in the context of high school algebra

If the price of a commodity is 1000 yuan and the purchase price is 600 yuan, how much discount can it sell in order to ensure that the profit is not less than 10%?

Set the minimum discount number as X, according to the meaning of the question: 600 × (1 + 10%) = 1000x, the solution: x = 0.66, that is, you can give a 6.6% discount

What is the basis for the coefficient of 1 of unknowns?

If both sides of the equation divide a nonzero number, the equation still holds

Factorization - 16x & # 178; Y & # 178; + 12xy ^ 5z-8xz ^ 3 x ^ 4-46x & # 178; + 25
-16x²y²+12xy^5z-8xz^3 x^4-46x²+25

x^4-46x²+25
=x^4-10x²+25-36x²
=(x²-5)²-36x²
=(x²-5+6x)(x²-5-6x)

Given the absolute value of 3A & # 178; - 9 + (1b of A-2) &# 178; 3-A, = 0, find the inverse of the reciprocal of 1 of a + 1 of B
3-A is the denominator
A & # 178; - 9 has absolute value outside
There should be a process
O(∩_ Thank you
It means root

The absolute value of 3A & # 178; - 9 + (1b of A-2) &# 178; 3-A, = 0
Then 3A & # 178; - 9 = 0, 1b of A-2 = 0, √ 3-A ≠ 0
Then a = - 3, B = - 2 √ 3
Then the inverse of the reciprocal of 1 / A + 1 / b = - √ 3 / 3 + (- √ 3 / 6) = - √ 3 / 2 = 2 √ 3 / 3

Let f (x) = 3sinxcosx + cos2x + A. (1) write out the minimum positive period and monotone decreasing interval of F (x); (2) when x ∈ [− π 6, π 3], the sum of the maximum and minimum of F (x) is 32, and find the value of A

The solution (1) f (x) = 32sin2x + 1 + cos2x2 + a = sin (2x + π 6) + A + 12, (2 points) ｜ t = π. (4 points) from π 2 + 2K π ≤ 2x + π 6 ≤ 3 π 2 + 2K π, we get π 6 + KX ≤ x ≤ 2 π 3 + K π. Therefore, the monotone decreasing interval of function f (x) is [π 6 + K π, 2 π 3 + K π] (K ∈ z). & nbsp; & nbsp; & nbsp

For example, the graph is the image of hyperbola Y1 and Y2 in the first quadrant, Y1 = 4x, passing through any point a on Y1, making the parallel line of X axis intersecting Y2 at B, intersecting Y axis at C, if s △ AOB = 1, the analytic formula of hyperbola Y2 is obtained

Let the analytic expression of hyperbola Y2 be y2 = KX. From the meaning of the question, we can get: s △ boc-s △ AOC = s △ AOB, k2-42 = 1, the solution is; k = 6; then the analytic expression of hyperbola Y2 is y2 = 6x