Question

how many like terms
-2.1x + 3.7 and 5 + 4.9x

Answer 1

like terms:
_____ 4.9x and 3.7____

Answer 2

To identify the like terms in the expressions \(-2.1x + 3.7\) and \(5 + 4.9x\), we first need to break down the terms in each expression.

**From the first expression \(-2.1x + 3.7\)**:
- The like terms are \(-2.1x\) (a variable term) and \(3.7\) (a constant term).

**From the second expression \(5 + 4.9x\)**:
- The like terms are \(4.9x\) (a variable term) and \(5\) (a constant term).

Now, let's identify like terms across both expressions:
1. The terms with \(x\): \(-2.1x\) from the first expression and \(4.9x\) from the second expression are like terms since they both contain \(x\).
2. The constant terms: \(3.7\) from the first expression and \(5\) from the second expression are like terms since they are both constants.

In total, you have:
- 2 like terms with \(x\): \(-2.1x\) and \(4.9x\)
- 2 like terms that are constants: \(3.7\) and \(5\)

So, there are **2 sets** of like terms (1 for variable terms and 1 for constant terms), but if you are counting individual like terms, there are **4 individual terms** (2 variable terms and 2 constant terms).

Answer 3

It looks like you're trying to identify or arrange the like terms. Here's how it goes:

From the expressions you provided, the terms can be grouped as follows:

- The terms with the variable \(x\): **4.9x** (from the second expression).
- The constant terms: **3.7** (from the first expression).

However, in the context of identifying like terms, we should note that:

- **4.9x** is a variable term.
- **3.7** is a constant term.

So, they are **not like terms** because one contains the variable \(x\) while the other does not.

If you need a format for filling in the blanks, it might look something like this:

- **Like terms:** 4.9x and ___ (there are no like terms with 3.7, since it is a different type).

If you have any more specific instructions or further context, please let me know!