Question

Решите несколько заданий, пожалуйста. 1) (-3²)+(1/3²)*3³ 2) a) 8аb-24by; б) 12y²-18x²y²3) a) 6x(y-6x²); б) (8x+3y)(4x-6y)в) (5+x)²; г) (5x-3y²) 4) Решите уравнение: 11y-(15y+8)=45) a) 4(5-4x)+5(4x-4) при x=2,5б) (7-2y)-(1-5y)+(4-3y) при y=1,73​

Answer 1

в 4 и 5 заданиях можно подставить число которому равны x или y с самого начала (как я это сделала), или же решить без посдстановки, а подставить уже в конце... Ответ все ровно будет один и тот же

Answer 2

1. (-3²) + (1/3²) * 3³

First, let's calculate the values inside parentheses and exponents: (-3²) = (-3) * (-3) = 9 (1/3²) = 1/(3 * 3) = 1/9 3³ = 3 * 3 * 3 = 27

Now, substitute these values into the expression and perform the calculations: (-3²) + (1/3²) * 3³ = 9 + (1/9) * 27 = 9 + (1/9) * 27 = 9 + (1/9) * 27 = 9 + 3 = 12

Therefore, the result is 12.

2a) 8ab - 24by

This expression cannot be simplified further unless you have specific values for the variables a, b, and y.

2b) 12y² - 18x²y²

This expression can be simplified by factoring out the common term y²: 12y² - 18x²y² = 6y²(2 - 3x²)

3a) 6x(y - 6x²)

This expression can be simplified by multiplying the terms: 6x(y - 6x²) = 6xy - 36x³

3b) (8x + 3y)(4x - 6y)

To expand this expression, you can use the distributive property: (8x + 3y)(4x - 6y) = 8x * 4x + 8x * (-6y) + 3y * 4x + 3y * (-6y) = 32x² - 48xy + 12xy - 18y² = 32x² - 36xy - 18y²

3c) (5 + x)²

To expand this expression, you can use the formula for squaring a binomial: (5 + x)² = (5 + x)(5 + x) = 5 * 5 + 5 * x + x * 5 + x * x = 25 + 10x + x²

3d) (5x - 3y²)

This expression cannot be further simplified unless there is an operation missing. Please clarify the expression.

4. Solve the equation: 11y - (15y + 8) = 4

First, distribute the negative sign inside the parentheses: 11y - 15y - 8 = 4

Combine like terms: -4y - 8 = 4

Add 8 to both sides of the equation: -4y - 8 + 8 = 4 + 8 -4y = 12

Divide both sides of the equation by -4: y = -12/4 y = -3

Therefore, the solution to the equation is y = -3.

5a) 4(5 - 4x) + 5(4x - 4) when x = 2.5

Substitute x = 2.5 into the expression: 4(5 - 4(2.5)) + 5(4(2.5) - 4) = 4(5 - 10) + 5(10 - 4) = 4(-5) + 5(6) = -20 + 30 = 10

Therefore, the value of the expression when x = 2.5 is 10.

5b) (7 - 2y) - (1 - 5y) + (4 - 3y) when y = 1.73

Substitute y = 1.73 into the expression: (7 - 2(1.73)) - (1 - 5(1.73)) + (4 - 3(1.73)) = (7 - 3.46) - (1 - 8.65) + (4 - 5.19) = 3.54 - (-7.65) - 1.19 = 3.54 + 7.65 - 1.19 = 10.19 - 1.19 = 9

Therefore, the value of the expression when y = 1.73 is 9.