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5.f(x) is an odd function.
f(0)=0
2^0+b=0,b=-1
then f(x)=2 x+2x-1
f(-1)=-f(1)=-(2^1+2*1-1)=-37.From the meaning of the title, we can see that the common ratio q<1, and q=1 2 n (n is a positive integer) then s=b1 (1-q)=1 7
7b1=1-q
and b1 = 1 2 m (m is a positive integer).
The requirement is only satisfied if q=1 8 and b1=1 8.
So the general formula is:
bn=b1*q (n-1)=1 8 n (n is a positive integer) satisfied, thank you
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The fifth question (the answer seems to be different from yours, maybe I miscalculated, but the idea is correct) first finds b=-1 from f(0)=0
So f(x)=2 x+2x-1
And because f(x) is an odd function.
f(-1)=-f(1)=-3
Question 7. From the meaning of the title, {bn) is an infinitely decreasing proportional sequence (only an infinitely decreasing proportional sequence has an sum of terms).
The sum of terms of an infinitely decreasing proportional series is s=b1 (1-q)=1 7.........1) Let the first term be (1 2) m, then q=(1 2) m or more are brought into (1).
So m=3 so we get b1=1 8 q=1 8 so bn=1 8 n
Feel free to ask.
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1.It should be that f(x) is an odd function, so f(0)=0,1+b=0,b=-1,f(x)=2 x+2x-1,f(-1)=-f(1)=-3 How is your answer -4?
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1.After forging, the shape changes but the volume does not.
The volume of this ingot is cubic meters).
2 dm = m.
The length of the forged cuboid ingot is meters).
2.The area of each face of the cube is 96 6 = 16 (square centimeters) The edge length of the cube is 4 cm, so the height of the original cuboid is 4 + 6 = 10 cm.
It turns out that the volume of this cuboid is 16 10=160 (square centimeters).
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Since the volume is equal before and after forging.
So length.
So length = 3 meters.
2) If the surface area is 96 square centimeters, and the side length of the cube is xcm, then 6x 2=96, so x=4cm
So it turned out to be 4cm long, 4cm wide, and 10cm high
The volume is 4 4 10=160cm
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Question 1: Set the length of the high-speed rail to be x kilometers.
Equation 3 5x=1 2x+25
Solution: x=250
The high-speed rail is 250 kilometers long.
Question 2: There are 5x girls and 6x boys.
Equation 5x+5=8 9 6x
Solution: x=15
5x=75 female students, originally 75 people.
Hey, hey, take it!
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1.The Shanghai-Hangzhou high-speed railway is about x kilometers long, 3 5) x = (1 2) x + 25
3x/5=x/2+25
x/10=25
x=2502.If the number of boys is x, then the number of girls is 5x 6 and the number of girls is 8x 9
5x/6+5=8x/9
8x/9-5x/6=5
x=905x/6=75
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Answer to the first question.
$24 for the second question.
Answer: Soccer is 20 yuan more expensive than each basketball.
Football is $29 more expensive than each volleyball.
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84x2/7=24
A pair of pants is 24 yuan cheaper than a blouse.
90x2 9=20, each soccer ball is 20 yuan more expensive than each basketball.
90x9/10=81
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1.Pants** are 60 yuan, which is 24 yuan cheaper than a top.
2.Football is $110, volleyball is $81, and football is $29 more expensive than basketball.
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1.Take out 1 from tank A and put it into tank B, at this time, the number of tails of goldfish in both tanks is equal, indicating that A is more than B: 2.
Take out 1 from tank B and put it into tank A, at this time, the number of goldfish in tank B is less than A: 2 + 1 * 2 = 4, B is 1 2
Then A is: 4 (1-1 2)=8
B is: 8-4=4, B is: 4+1=5, A is: 5+2=7.
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Suppose last year A sold x pairs, then B sold 12200-x pairs.
x=6000
In the year, A and B each sold 6,000 pairs and 6,200 pairs of Liang Mu stoves.
Set up bamboo poles x meters long.
x+x=m.
The bamboo pole is long and the rope is 2 meters long.
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1.Drying rate = original mass and remaining mass.
500g÷430g
Moisture content = 1 - drying rate.
2.There is no need to count the concentration ......
I used to have a glass of pure milk, but then I drank it all; I added half a glass of water twice, and I drank it all up; So a total of a glass of water, a glass of milk.
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Problem 1: Drying rate = 430 500
Moisture content = 70 500
Question 2: As much as I added 2 times and a half cup of water.
1. By -2 x 1 there are: 0 x+2, x-1 0So.
y=1-x-2|x|+x+2=3-2|x|It can be seen that when the absolute value of x is larger, the smaller y is, and the smaller the absolute value of x, the greater y is. >>>More
1.First a is a non-empty set, then there are 3a-5>2a+1, we get a>6 and then a is a subset of b, then 2a+1 3 and 3a-5 22, we get 1 a 9 and there is 62First, if m=0 and q are empty sets, they must be a subset of p. >>>More
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1.Because a=1, c=0, so f(x)=x 2+bx 1, that is, f(x)-1 0, that is, x 2+bx-1 0, and then the main dimension is reversed, and b is regarded as the main element, and x is regarded as the dimension, that is, x is known, so it becomes a one-dimensional inequality about b, because x (0, 1, so the inequality is brought in, -1 0 is constant, 1 2+1 b-1 0, and b 0, in summary, b 0 2That is, 4 x + m (2 x) + 1 = 0 holds, and the equal sign shifts both sides, that is, m=-(2 x+2 -x), that is, find the range of f(x) = -(2 x+2 -x), because x r, so (2 x) (0, + commutation, so that 2 x=t, t (0, + i.e., the original formula is y=-(t+1 t), and y (-2) is obtained from t, that is, m (-2).