Certainly! Let's analyze the given expression:
[tex]\[ 4x^2 - 9y + w \][/tex]
To identify the variables contained within the expression, let's go through each term systematically.
### Step-by-Step Analysis:
1. First Term: [tex]\(4x^2\)[/tex]
- The first term consists of a coefficient [tex]\(4\)[/tex] and the variable [tex]\(x\)[/tex] raised to the power of [tex]\(2\)[/tex].
- Therefore, the variable [tex]\(x\)[/tex] is present in this term.
2. Second Term: [tex]\(-9y\)[/tex]
- The second term consists of a coefficient [tex]\(-9\)[/tex] and the variable [tex]\(y\)[/tex].
- Hence, [tex]\(y\)[/tex] is a variable in this term.
3. Third Term: [tex]\(w\)[/tex]
- The third term is simply the variable [tex]\(w\)[/tex].
- Thus, [tex]\(w\)[/tex] is present in this term.
### Variables in the Expression:
From the above examination, we can see that the variables present in the expression [tex]\( 4x^2 - 9y + w \)[/tex] are:
- [tex]\(x\)[/tex]
- [tex]\(y\)[/tex]
- [tex]\(w\)[/tex]
### Checking for Missing Variables:
4. Variable [tex]\(z\)[/tex]
- We need to check for the presence of any other variables, such as [tex]\(z\)[/tex].
- In the expression [tex]\( 4x^2 - 9y + w \)[/tex], the variable [tex]\(z\)[/tex] does not appear at all.
### Conclusion:
Based on our detailed analysis, the variables contained in the expression are [tex]\(x\)[/tex], [tex]\(y\)[/tex], and [tex]\(w\)[/tex]. The variable [tex]\(z\)[/tex] is not present in the expression.
Answer:
- [tex]\(x\)[/tex]: Present
- [tex]\(y\)[/tex]: Present
- [tex]\(w\)[/tex]: Present
- [tex]\(z\)[/tex]: Not Present
So, the correct identification of variables is:
- [tex]\(x\)[/tex] is present.
- [tex]\(y\)[/tex] is present.
- [tex]\(w\)[/tex] is present.
- [tex]\(z\)[/tex] is not present.
