Question

Помогите пожалуйста 1) 3 5/6 - 5 3/8 2)укажите уравнение корень которого число 1 |х|=-1 (Х-1)(х+1)=1 (Х+1) в квадрате=0 (Х+3)(х-4)=-12 4)укажите линейное уравнение с одной параллельной 3,4(х+2)-1,2у=5 Х/7+3/х=5/7 6х-2(3х-3)=7 Х/10 в квадрате-4/5=1/10 5)найдите корень уравнения 0,6х+0,42=0 6) реши уравнение 2/5х+5/6=1/6-7/25х 7)найдите значение а при котором равны значения выражений 13а+12 и 18а-3 Решите уравнение 0,03(3х-4)-0,07(3х-2)=0,04(0,5-3х)

Answer 1

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Answer 2

To subtract fractions, we need a common denominator, which in this case is 24:

3 5/6 = 23/6

5 3/8 = 43/8

So:

23/6 - 43/8 = (423)/(46) - (343)/(38) = 92/24 - 129/24 = -37/24

Therefore, 3 5/6 - 5 3/8 = -37/24.

To solve the equation |x| = -1, note that the absolute value of any number is always non-negative. Therefore, there is no solution to this equation.

To solve the equation Х/7 + 3/х = 5/7, we need to get rid of the fraction. We can do this by multiplying both sides by 7x:

x^2 + 21 = 5x

Rearranging:

x^2 - 5x + 21 = 0

Using the quadratic formula:

x = (5 ± sqrt(5^2 - 4121)) / 2

x = (5 ± sqrt(-59)) / 2

Since the square root of a negative number is not a real number, this equation has no real solutions.

We can simplify the given equation:

(3,4)(x+2) - (1,2)y = 5

3.4x + 6.8 - 1.2y = 5

3.4x - 1.2y = -1.8

To find a parallel line, we need to keep the same slope, which is 3.4. We can use the point-slope form:

y - 4 = 3.4(x + 2)

y = 3.4x + 11.8

Therefore, the linear equation with slope 3.4 and parallel to the given line is y = 3.4x + 11.8.

We can solve the equation 0.6x + 0.42 = 0 for x:

0.6x = -0.42

x = -0.7

Therefore, the solution to the equation is x = -0.7.

We can simplify the given equation:

2/5 x + 5/6 = 1/6 - 7/25 x

2/5 x + 7/25 x = 1/6 - 5/6

17/25 x = -2/3

x = (-2/3) / (17/25)

x = -10/17

Therefore, the solution to the equation is x = -10/17.

To find the value of a such that 13a + 12 = 18a - 3, we can simplify:

13a + 12 = 18a - 3

15 = 5a

a = 3

Therefore, the value of a that makes the two expressions equal is a = 3.

To solve the equation 0.03(3x-4) - 0.07(3x-2) = 0.04(0.5-3x), we can simplify:

0.09x - 0.12 - 0.21x + 0.14 = 0.02 - 0.12x

-0.12x = -0.01

x = 1