An expression is given: (2x – 1) – 3.25(x + 3)

a) -1.25x – 4.00
b) -1.25x - 3.25
c) -1.25x + 10.75
d) -1.25x - 10.75

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To simplify the expression \((2x - 1) - 3.25(x + 3)\), we will follow these steps:

1. Distribute \(-3.25\) to both terms inside the parentheses.
2. Combine like terms.

Let's start simplifying:

\[
(2x - 1) - 3.25(x + 3)
\]

First, distribute \(-3.25\):

\[
(2x - 1) - (3.25x + 9.75)
\]

Now, rewrite the expression considering the distribution:

\[
2x - 1 - 3.25x - 9.75
\]

Next, combine the \(x\) terms and the constant terms:

1. Combine the \(x\) terms:
\[
2x - 3.25x = -1.25x
\]

2. Combine the constant terms:
\[
-1 - 9.75 = -10.75
\]

Putting it all together, we get:

\[
-1.25x - 10.75
\]

Thus, the simplified expression is:

\[
-1.25x - 10.75
\]

So, the correct answer is:

**d) -1.25x - 10.75**.