To determine which of the given options are terms of the expression [tex]\(4zy + 7x + 9y - 4\)[/tex], we need to identify the individual components or terms of the expression. Let's break down the expression into its separate terms:
The expression [tex]\(4zy + 7x + 9y - 4\)[/tex] is composed of the following parts:
1. [tex]\(4zy\)[/tex]: This is one term consisting of the variables [tex]\(z\)[/tex] and [tex]\(y\)[/tex] with a coefficient of 4.
2. [tex]\(7x\)[/tex]: This is a term that includes the variable [tex]\(x\)[/tex] with a coefficient of 7.
3. [tex]\(9y\)[/tex]: This term includes the variable [tex]\(y\)[/tex] with a coefficient of 9.
4. [tex]\(-4\)[/tex]: This is a constant term.
Now, let's compare these terms with the given options:
1. zy: This is not a complete term from the given expression because it lacks the coefficient. Thus, it is not a term of the expression.
2. [tex]\(4zy\)[/tex]: This is a term of the expression since it matches exactly with one of the terms.
3. [tex]\(-4\)[/tex]: This is a term of the expression because it matches the constant term.
4. [tex]\(7x\)[/tex]: This is a term of the expression as it matches one of the given terms.
5. 9: This is not a term of the expression as we have [tex]\(9y\)[/tex] in the original but not 9 by itself.
So, the terms of the expression [tex]\(4zy + 7x + 9y - 4\)[/tex] from the given options are:
- [tex]\(4zy\)[/tex]
- [tex]\(-4\)[/tex]
- [tex]\(7x\)[/tex]
These answers match the terms we identified initially.
