Finding monotone interval and range of function: F (x) = 3 ^ √ (- X & # 178; + 2x = 3) f (x) = 4 ^ (x-1 / 2) - 3 × 2 ^ x + 5

Finding monotone interval and range of function: F (x) = 3 ^ √ (- X & # 178; + 2x = 3) f (x) = 4 ^ (x-1 / 2) - 3 × 2 ^ x + 5

f(x)=3^√(-x²+2x+3)=3^√[-(x-1)²+4]=-3^√[(x-1)²+4]x∈(-∞,+∞)y∈(-∞,-3√4)f(x)=4^(x-1/2)-3×2^x+5=2^(2x-1)-3×2^x+5=2×2^2x-3×2^x+5=2×(2^2x-3/2×2^x)+5=2×(2^x-3/4)-9/8+5∵x∈(-∞,...

It is known that ∣ A-3 ∣ and the root sign B + 1 are opposite to each other, and the square root of a + B is obtained

Because | A-3 | must be nonnegative
The root sign B + 1 is also non negative
So we can get | A-3 | = radical B + 1 = 0
So a = 3, B = - 1
a+b=3-1=2
The square root of a + B is equal to the root sign 2

Sequence 2 / 3, - 1,10 / 7, - 19 / 7,26 / 11... For general term formula, urgent!
General term formula of sequence 2 / 3, - 1,10 / 7, - 19 / 7,26 / 11
Homework, today who answer out to bonus points!

The fourth one should be - 17 / 9? If so, the answer is the N-1 power of (- 1) multiplied by (n ^ 2 + 1) / (2n + 1)

If x power of 100 = y power of 4100, what is 2x + 2Y power of 10

100^x=100^y=4
10^(2x+2y)=10^2x*10^2y=100^x*100^y=4*4=16

How to set up equations for engineering problems and discount problems of linear equation with one variable?

Teach you the basic formula: original price x percentage = current price (a few percent discount is a few percent, for example, 80 percent discount is 80 percent)

Arrange the natural numbers according to the rule as shown in the figure, then the position of 2008 is the row and column
A B C D
1 2 3
6 5 4
7 8 9
12 11 10
… … …
… … …

According to the rule in the figure, every six cycles, such as 7,8,9 and 1,2,3 are in the same column respectively. Because 2008 / 6 = 334 remainder 4, that is, in the column of 4, it is in column D. 2008 / 3 = 669 remainder 1, that is, in column 670 D

Perfect squares within 100000

1 1 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 121 12 144 13 169 14 196 15 225 16 256 17 289 18 324 19 361 20 400 21 441 22 484 23 529 24 576 25 625 26 676 27 729 28 784 29 841 30 900 31 961 32 1...

English texts of Grade 8 Volume 1
After U12, there are three articles about tourist attractions. I want to introduce Sanya and Beijing. I forgot to take my English book home,
My is PEP go for it

Sanya is in Hainan Province in southern China.It ’s still warm in winter.It ’s about 15°c in the afternoon.Sanya has lovely beaches.The price of a hotel room is about 320 yuan a night.
Harbin is in the northern China.It ’s cold in winter,sometimes -30°c.Tourists need to wear warm clothes.There is an Ice and Snow Festival in winter.A hotel room is about 230 yuan a night.
Beijing is not very cold in winter.It ’s about -10°c.It doesn’t often rain or snow.Hotels usually cut their prices in winter.About 200 yuan a night is enough.

There are 160 red, yellow and white balls. If you take out 13 red balls, 14 yellow balls and 15 white balls, there are 120 left. If you take out 15 red balls, 14 yellow balls and 13 white balls, there are 116 left. How many red, yellow and white balls are there?

According to the above analysis, taking 160 △ 40 = 4 times just finished, red ball is still poor: 43-1 = 13, white ball is more than 1-45 = 15, yellow ball is finished; it shows that 13 of red ball is equal to 15 of white ball, the ratio of red ball to white ball is 3:5; according to the comparison of two schemes, it is found that 13-15 = 215 of white ball is more than 215 of red ball by 4; that is, white ball is more than red ball by 4 △ 215 = 30, so red ball has 30 △ 215（ 5-3) × 3 = 45; white ball has 45 + 30 = 75; yellow ball is 160-45-75 = 40; answer: (1) original yellow ball 40, (2) original red ball 45, white ball 75

How many kilometers is 90 kilometers and 20 meters

20m = 20 △ 1000 = 0.02km
So:
90 km 20 m equals 90.02 km