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

Answer 1

To solve this problem, let's first simplify the expression.

We have:

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

First, let's distribute the 1/2 to the terms inside the parentheses:

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

Simplifying further, we get:

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

Next, let's distribute the -4 to the terms inside the parentheses:

1/2z + 2 - 4 * 1/4z - 4 * 1

Simplifying further, we get:

1/2z + 2 - z - 4

Combining like terms, we have:

1/2z - z + 2 - 4

Simplifying further, we get:

-1/2z - 2

Therefore, the final simplified form of the expression is -1/2z - 2.

Answer 2

Subtract: (3b - 2c) - (2b + 6c) - (b + c) (1 point)

Answer 3

To subtract the given expression, let's first simplify it by removing the parentheses.

(3b - 2c) - (2b + 6c) - (b + c)

First, let's distribute the negative signs inside the parentheses:

3b - 2c - 2b - 6c - b - c

Next, let's combine like terms by combining the coefficients of similar variables:

(3b - 2b - b) + (-2c - 6c - c)

Simplifying further, we get:

0b + (-9c)

Since any number multiplied by zero is zero, we can simplify the expression further to just:

-9c

Therefore, the final result for the expression (3b - 2c) - (2b + 6c) - (b + c) is -9c.