Subtract 1/2(z+4)−3(1/4z+1) . Use fractions in final form.(1 point)

Answer 1

To subtract 1/2(z+4)−3(1/4z+1), we first distribute the coefficients:

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

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

Simplify the fractions:

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

Combine like terms:

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

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

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

Now, we write the final answer using fractions:

= -1/4z - 2

Answer 2

-1/4z - 2