Question

 3/2*(2/3х+2)-4*(1.25х+0.75) если х=-0.5 упрастить выражение

Answer 1

Решение изображено на фотографии

Answer 2

To simplify the expression, we need to substitute the value of x with -0.5 and perform the calculations step by step. Let's do it:

1. Replace x with -0.5 in the expression: 3/2 * (2/3 * x + 2) - 4 * (1.25 * x + 0.75)

   Substituting x = -0.5: 3/2 * (2/3 * (-0.5) + 2) - 4 * (1.25 * (-0.5) + 0.75)

2. Simplify inside the parentheses first: 3/2 * (2/3 * (-0.5) + 2) - 4 * (1.25 * (-0.5) + 0.75) = 3/2 * (-1/3 + 2) - 4 * (-0.625 + 0.75)

3. Perform the additions and subtractions inside the parentheses: = 3/2 * (1⅔) - 4 * (0.125)

4. Now, multiply the fractions and the numbers: = 3/2 * (5/3) - 4 * (0.125)

5. To multiply fractions, multiply the numerators and denominators separately: = (3 * 5) / (2 * 3) - 4 * (0.125)

   = 15 / 6 - 4 * 0.125

6. Simplify further: = 5/2 - 4 * 0.125

7. Perform the remaining multiplication: = 5/2 - 0.5

8. Find a common denominator and subtract the fractions: = (5 - 2) / 2

9. Final result: = 3/2

So, after simplifying the expression with x = -0.5, we get the answer 3/2 or 1.5.