For rational number x, use [x] to represent the largest integer not greater than x. try to find the sum of all solutions of equation [3x + 1] = 2x-12

For rational number x, use [x] to represent the largest integer not greater than x. try to find the sum of all solutions of equation [3x + 1] = 2x-12


According to the new definition, if the left side of the equation is an integer, then 2x-12 = K (k is an integer), the solution is: x = 12 (K + 12), | 3x + 1 = 32 (K + 12) + 1 = 32K + 74, the integer part is k, if K is odd, then the integer part of 32K + 74 is 32 (K + 1) = k, the solution is: k = - 3, then x = - 54; if K is even, then 32K + 74



Department stores promote a leather garment. The original price is 800 yuan, which has been reduced by one tenth twice in a row. How much is the current price?
Come on, how much is it!


684 yuan 800-80 = 760760-76 = 684 yuan



Solve the equation about X: ax-6 = 3x, and find the positive integer solution of the equation when a is an integer
can't


ax-6=3x
ax-3x=6
(a-3)x=6
x=6/a-3)



The price of a DVD player is 140 yuan after 3 / 10 price reduction. How much is the original price of this DVD player?
There are 60 male workers in the workshop, one fourth more than female workers. How many female workers are there?
There are 60 male workers in the workshop, one fourth more female workers than male workers. How many women workers are there?


140/(1-3/10)
=140 △ 7 / 10 = 200 yuan
After identification:
You are a
have no predecessors
No latecomers
tall , stately and handsome
Handsome natural genius, I have a test below:
Please click "select as satisfactory answer" next to the next answer
From the team - Potato
If you have any questions, please help me or my team!



Let x0 be the solution of the equation INX + x = 4, and x0 & # 8364; (k, K + 1) (K & # 8364; n), then what is k


ln(2)+2



A kind of color TV, after two successive price cuts of 10%, the price is a yuan, then the original price is yuan


A △ (1-10%) / (1-10%) = 100 / 81a yuan



Let x0 be the solution of the equation INX + x = 4, then XO is in which of the following intervals
a(3,4)
b (2,3)
c(1,2)
d(0,1)
It's the process, the explanation


b
Obviously, Let f (x) = LNX + x-4
f(3)=ln3+3-4>1+3-4>0
f(2)=ln2+2-4



The price of a commodity has been raised by 10% twice in a row, and then reduced by 5%. What percentage of the original price is the current price
Such as the title


111.4% of the original price



It is known that a smaller root of the equation x2-2x + k = 0 about X is x0 and - 1


Let f (x) = x ^ 2-2x + K
There are two intersections with the X axis
Because an intersection is between - 1 and 0
So f (- 1) f (0)



Price and profit the price of a commodity has been raised by 10% twice in a row and then reduced by 5%. To restore the original price, what percentage of the original price is the current price?


Current price = 1 × (1 + 10%) × (1 + 10%) × (1-5%) = 114.95%
The current price is 114.95% of the original price