Sure, let's break down the expression [tex]\(9s + 5\)[/tex] step by step.
1. Identifying the Constant:
A constant is a term in an expression that does not change with the value of the variable. It is a fixed numerical value. In the expression [tex]\(9s + 5\)[/tex], the term [tex]\(5\)[/tex] is the constant because it does not involve the variable [tex]\(s\)[/tex].
2. Identifying the Coefficient:
The coefficient is the numerical factor that multiplies the variable in an expression. In the term [tex]\(9s\)[/tex], [tex]\(9\)[/tex] is the coefficient because it is the number that multiplies the variable [tex]\(s\)[/tex].
Given these definitions:
- The constant term in the expression [tex]\(9s + 5\)[/tex] is [tex]\(5\)[/tex].
- The coefficient of the variable [tex]\(s\)[/tex] in the expression [tex]\(9s + 5\)[/tex] is [tex]\(9\)[/tex].
Thus, the correct identification is:
- Constant: [tex]\(5\)[/tex]
- Coefficient: [tex]\(9\)[/tex]
So, the right choice is: Constant: 5 and coefficient: 9.
