Limx →∞ X / x + 1 for limit

Limx →∞ X / x + 1 for limit

Finding the nonnegative integer solution of 2 / 3x + 1 / 2Y = 11 / 2

2/3x+1/2y=11/2
y/2=11/2-2x/3
y=11-4x/3
When x = 0, y = 11
When x = 3, y = 7
When x = 6, y = 3

Positive integer solutions of the bivariate linear equation 3x + 2Y = 12______ ．

3x + 2Y = 12, 2Y = 12-3x, y = 6-32x, ∵ find the positive integer solution of the bivariate linear equation 3x + 2Y = 12, ∵ 6-32x > 0, x < 6, ∵ x is a positive integer, ∵ 0 < x < 6, ∵ y is also a positive integer, ∵ x can only be 2, 4, the corresponding y is 3, 0, that is, x = 2Y = 3, x = 4Y = 0 (rounding), so the answer is: x = 2Y = 3

One third of number a is equal to one fourth of number B. the ratio of number a to number B is 1

A: B = 1 / 4:1 / 3 = 3:4

Let the rank of mxn real matrix a be n, and prove that matrix A ^ TA is positive definite

Certificate: first, (a ^ TA) ^ t = a ^ t (a ^ t) ^ t = a ^ ta
So a ^ TA is a symmetric matrix
For any nonzero column vector x
From R (a) = n, we know that AX = 0 has only zero solution
So ax ≠ 0
Then a is a real matrix,
So (AX) ^ t (AX) > 0
That is x ^ t (a ^ TA) x > 0
So a ^ TA is a positive definite matrix

A, B and C produce 585 parts in total. The number of parts produced by a is 4 / 5 of that of B, and that produced by B is 8 / 9 of that of C. each of them produces zero parts
How many pieces?

C: 585 ^ (1 + 8 / 9 + 8 / 9 × 4 / 5)
=585÷117/45
=225
B: 225 × 8 / 9 = 200
A: 200 × 4 / 5 = 160

5x-6=（-5）/6+7x,x/3=（1+y）/2
The process of solving this system of equations should be listed

5x-6=（-5）/6+7x,
5x-6=-5/6+7x
2x=-6+5/6
2x=-31/6
x=-31/12
Substitute it into the following equation:
x/3=（1+y）/2
2x=3+3y
-31/6-3=3y
y=-49/18
The solutions of the equations are: x = - 31 / 12; y = - 49 / 18

There are 9000 tons of grain in the two warehouses, 60% in warehouse A and 2 / 5 in warehouse B. at this time, the tons of grain in warehouse A and warehouse B are the same. How much grain did warehouse A and warehouse B store

There are 2400 bags of cement in the two warehouses of a and B. 40% of them are transported from the two warehouses respectively, and the remaining: 2400 × (1-40%) = 2400 × 60% = 1440 (bags). After 60 bags are transferred from warehouse A to warehouse B, the number of cement bags in the two warehouses is exactly the same

The ratio of X to 5 / 7 is equal to 14

10

(two simple operations)
（25%+3/8）*（13/7/13/17/5/8）
(100 (square) - 1000) * 1 / 37 * 0.27/3

（25%+3/8）*（13/7/13/17/5/8）
(100 (square) - 1000) * 1 / 37 * 0.27/3
=5/8*