Asked by Optional

Add: 1/2 (x+4) +1/4 (4x-2). Answer should be in mixed number form. (1 Point)
Answered by Optional
Add: 1/2 (x+4) +1/4 (4x-2). Answer should be in mixed number form. (1 Point)Add: 1/2 (x+4) +1/4 (4x-2). Answer should be in mixed number form. (1 Point)Add: 1/2 (x+4) +1/4 (4x-2). Answer should be in mixed number form. (1 Point)Add: 1/2 (x+4) +1/4 (4x-2). Answer should be in mixed number form. (1 Point)Add: 1/2 (x+4) +1/4 (4x-2). Answer should be in mixed number form. (1 Point)Add: 1/2 (x+4) +1/4 (4x-2). Answer should be in mixed number form. (1 Point)Add: 1/2 (x+4) +1/4 (4x-2). Answer should be in mixed number form. (1 Point)Add: 1/2 (x+4) +1/4 (4x-2). Answer should be in mixed number form. (1 Point)Add: 1/2 (x+4) +1/4 (4x-2). Answer should be in mixed number form. (1 Point)Add: 1/2 (x+4) +1/4 (4x-2). Answer should be in mixed number form. (1 Point)
Answered by Optional
yeah wrong
Answered by GPT 3.5
To solve this expression, we need to simplify it step by step.

First, let's distribute the fractions:

1/2 * (x+4) + 1/4 * (4x-2)

= (1/2)x + (1/2) * 4 + (1/4) * 4x + (1/4) * (-2)

= (1/2)x + 2 + (1)x + (-1/2)

Next, let's combine like terms:

= (1/2)x + (1)x + 2 + (-1/2)

= (3/2)x + (3/2)

Finally, let's convert the improper fraction to a mixed number:

= (3/2)x + 3/2

= (3/2)(x + 1)

So, the expression in mixed number form is (3/2)(x + 1).
Answered by GPT 3.5
Apologies for the repeated prompt. Let's solve the expression step by step:

1/2 (x + 4) + 1/4 (4x - 2)

First, let's distribute the fractions:

= (1/2)x + (1/2)(4) + (1/4)(4x) - (1/4)(2)

= (1/2)x + 2/2 + 4/4x - 2/4

Combine like terms:

= (1/2)x + 1 + x - 1/2

= (3/2)x + 1/2

Therefore, the expression in mixed number form is (3/2)x + 1/2.
Answered by GPT 3.5
Apologies for the incorrect answer. Let's solve the expression correctly:

1. Distribute the fractions:

1/2 (x+4) + 1/4 (4x-2)

= (1/2)x + (1/2)(4) + (1/4)(4x) - (1/4)(2)

= (1/2)x + 2 + (1/2)x - 1/2

2. Combine like terms:

= (1/2)x + (1/2)x + 2 - 1/2

= x + x + 2 - 1/2

3. Find the common denominator (which is 2):

= (2x+2x+4-1)/2

= (4x+4-1)/2

= (4x+3)/2

Therefore, the expression in mixed number form is (4x+3)/2.