Solution equation: 1 + x = 8 / 7 x + 1 / 8 = 15 / 16 X-5 / 12 = 3 / 8 x-3 / 4 = 1 / 2

Solution equation: 1 + x = 8 / 7 x + 1 / 8 = 15 / 16 X-5 / 12 = 3 / 8 x-3 / 4 = 1 / 2


7/1



X + 7 / 15 = 2


X + 7 / 15 = 2
x=2-7/15
x=(30-7)/15
x=23/15



Solution equation: 24-x = 15.68.4 △ x = 7


24-x=15.6
-x=15.6-24
x=8.4
8.4÷x=7
7x=8.4
x=1.2



It is known that when t = 0, the instantaneous value of a sinusoidal current is 0.5A, and the initial phase of the current is 30 °, then its effective value is () a


General formula:
i = Im sin (ωt + φ)
Known number of this question:
0.5 = Im sin 30°
Im = 1
I = Im /√2 = 0.707 A



When a class goes on a spring outing, it's just right for 12 people to take a car. When they come back, it's just right for 8 people to take a car. How many people are there in this class at least?


8 = 2 × 2 × 2, 12 = 2 × 2 × 3, the least common multiple of 8 and 12 is 2 × 2 × 2 × 3 = 24, that is, there are at least 24 students in this class



Let a be a square matrix of order n, satisfy a ^ 2 = 3A, and prove: (1) 4e-a is invertible; (2) if a is not equal to 0, 3e-a is invertible


(4e-a) (- e-A) = - 4E + a-4a + A ^ 2 = - 4E, so 4e-a is reversible, and its inverse is (E + a) / 4
The proof to the contrary: if 3e-a is reversible, then the condition is (3e-a) a = 0, and a = 0 is obtained by multiplying the inverse of 3e-a on the left



What is the time sequence of natural number, decimal, fraction, negative number and positive number


The time sequence of natural number, decimal, fraction, negative number and positive number is natural number, fraction, decimal, positive number and negative number



The school organizes a spring outing for teachers and students. If it rents several 45 seat buses, it will be full. If it rents 60 seat buses, it will be able to rent one less and have 30 vacant seats,


Let x 45 seat passenger cars be rented, 45x = 60 (x-1) - 30, then x = 66x45 = 270 (person)



What does Lim f (x) equal when x approaches zero?
When x approaches 0, what is Lim f (x) = Lim x multiplied by sin (1 / x)? Many answers say that it is 0, but I calculate it as 1. My answer is as follows: when x approaches 0, sin (1 / x) can be replaced by the equivalent infinitesimal x, so the above formula becomes that limx multiplied by (1 / x) should be equal to 1. How can the answer be 0? I hope that people with love will give us an answer


Your understanding is wrong
X tends to 0 and 1 / X to infinity
So sin (1 / x) is not infinitesimal, but oscillates between - 1 and 1
So sin (1 / x) is bounded
And X tends to zero
Infinitesimal times bounded, the result is infinitesimal
So limit = 0



Given that f (x) is an even function defined on R, when x ≤ 0, f (x) = x ^ 3-x ^ 2, find the analytic expression of F (x)


When x ≤ 0, f (x) = x ^ 3-x ^ 2
Let x > 0, then - x0)