subtract 1/2 (z+4) - 3 ( 1/3 z +1). use fractions in final form.

Answer 1

To solve this, we'll apply the distributive property to each term of the expression:

1/2(z + 4) - 3(1/3z + 1)

= (1/2 * z) + (1/2 * 4) - (3 * 1/3 * z) - (3 * 1)

= 1/2z + 2/2 - (3/3z) - 3

Now, let's simplify further:

= 1/2z + 1 - 1z - 3

Combining like terms:

= (1/2z - 1z) + (1 - 3)

= (-1/2z - 2)

So, the simplified expression is -1/2z - 2.

Answer 2

is this true?

Answer 3

Apologies for the incorrect solution. Let's reevaluate the expression:

Given expression: 1/2(z + 4) - 3(1/3z + 1)

= 1/2z + 1/2(4) - 3/1(1/3z) - 3/1(1)

= 1/2z + 1/2(4) - 3/1(1/3z) - 3/1

= 1/2z + 2/2 - 3/1(1/3z) - 3/1

= 1/2z + 2/2 - 3/3z - 3/1

= 1/2z + 1 - z - 3

= 1/2z - z + 1 - 3

= (1/2 - 1)z - 2

= -1/2z - 2

So, the correct simplified form is -1/2z - 2.