9.8n – (9p + 9.9)
The correct answer and explanation is:
The expression provided is:
9.8n – (9p + 9.9).
Step 1: Distribute the negative sign
Distribute the negative sign across the terms inside the parentheses:
9.8n – 9p – 9.9.
Step 2: Simplification
After distributing the negative sign, there are no like terms to combine further. The expression is already simplified as:
9.8n – 9p – 9.9.
Explanation:
This is a linear expression in terms of two variables: n and p. The variable n is multiplied by 9.8, and p is multiplied by 9. A constant, -9.9, is added to the expression. The structure of this equation is typical for algebraic expressions where each term represents either a variable multiplied by a constant or a constant on its own.
- 9.8n represents the term where the variable n is scaled by the coefficient 9.8.
- -9p represents the term where the variable p is scaled by the coefficient -9.
- -9.9 is a constant term that is not associated with any variable.
In such expressions, each term affects the overall value of the expression depending on the values assigned to n and p. This type of expression can be used in various scenarios, such as equations in economics, physics, or even when modeling relationships between different quantities. For example, it could represent a formula for calculating some quantity, where n and p are known variables, and the goal is to find the value of the entire expression.