If f (x) is an even function, its domain of definition is R and it is a decreasing function on [0, + ∞), then the relationship between F (- 34) and f (a2-a + 1) is positive______ ．

If f (x) is an even function, its domain of definition is R and it is a decreasing function on [0, + ∞), then the relationship between F (- 34) and f (a2-a + 1) is positive______ ．

∵ a2-a + 1 = (A-12) 2 + 34 ≥ 34, ∵ f (x) is a decreasing function on [0, + ∞], ∵ f (a2-a + 1) ≤ f (34). Also, f (x) is an even function, ∵ f (- 34) = f (34). ∵ f (a2-a + 1) ≤ f (- 34), so the answer is: F (a2-a + 1) ≤ f (- 34)

Given that a monotone interval of even function y = (x) defined on R is (3,5), then function y = f (1-x)
Why is the symmetry axis of an image x = 1 and an increasing function in (4,6)?

Let u = 1-x
F (x) is even function
f(u)=f(-u)
That is, f (1-x) = f (x-1)
So the axis of symmetry is x = 1
I think you should have the wrong condition ~ it should be monotonic minus interval is (3,5), otherwise you can't deduce the following conclusion
Since a monotone decreasing interval of y = f (x) is (3,5)
So y = f (x) (- 5, - 3) is a monotone increasing interval
u=1-x,x=1-u
So 1-u is an increasing function in (- 5, - 3)
u∈（4,6）
That is, f (U) = f (1-x) is an increasing function in (4,6)

The function FX = (1 / 4) ^ X - (1 / 2) ^ x + 1, where x belongs to [- 3,2] and the range is

Let (1 / 2) ^ x = t x belong to [- 3,2] t ∈ [1 / 4,8]
y=t^2-t+1
=(t-1/2)^2+3/4
T = 1 / 2 min = 3 / 4
T = Tmax = 57
The range is [3 / 4,57]

If the rational numbers a, B and C satisfy | a | / A + | B | / B + | C | / C = 1, then ABC / | ABC|
|Is the absolute value sign

-1

Write a general term formula according to the first five terms 4,9,16,25,36 of infinite sequence
Write down the process by the way

4=(1+1)^2
9=(2+1)^2
16=(3+1)^2
25=(4+1)^2
36=(5+1)^2
So an = (n + 1) ^ 2

56 × (minus 10 / 7) + (minus 1 / 4) / (- 0.75)

56 × (minus 10 / 7) + (minus 1 / 4) / (- 0.75)
=56×（-10/7）+(-1/4)×(-4/3)
=-80+1/3
=-79-2/3
=-79 and 2 / 3;
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The formula of linear equation of one variable must be thought by oneself
Economic problems and so on, as well as the original price and so on, how to ask

Economic problems mainly have the following equal relations: 1. Discount sales. (1) cost price: sometimes also called purchase price, which is the price when the merchant purchases goods; (2) price: the price marked when the merchant sells; (3) price: the amount of money that the consumer really spends when buying; (4) profit: the part that the merchant earns after the commodity is sold

According to the arrangement rule in the figure, which row and column should the number 2009 be in?
First column second column third column fourth column
First line 1 2 3 4
The second line 7 6 5 4
The third line 7 8 9 10
The fourth line 13 12 11 10
The fifth line 13 14 13 15

In zigzag arrangement, the number at the right end of each odd line and the number at the left end of even line is the number that is divided by 3 to 1
The relationship between the number of endpoints a (n) and the number of rows n is: a (n) = 3N + 1
Therefore, by
3 (n-1) + 1 ≤ 2009 ≤ 3N + 1
N = 670
That is, the number of endpoints is (670-1) * 3 + 1 = 2008, which appears in line 669, column 4,
It also appears in line 670, column 4
According to the graph rule, the number 2009 is in the 670 row and the third column

A cuboid steel has a cross-sectional area of 1.8 square decimeters. If each cubic decimeter of steel weighs 7.8 kg, how much is the steel? It is 4.5 meters long

This should be relatively simple
V = S*L = 1.8 * 4.5 = 8.1 dm^3
M = ρ*V = 7.8 * 8.1 = 63.18 kg

People's education press English eighth grade volume six unit phrase summary 30 with Chinese translation urgent

1. Talk about 2. In some ways 3. More than 4. In common 5. Enjoy doing sth Be good at = do