Respuesta :
Answer:
c) A variable
Step-by-step explanation:
In mathematics, a variable represents an unknown value or a value that can change. In this case, "x" is the variable, and "6x" represents a quantity that is six times the value of "x". It is not a formula because it doesn't involve any mathematical operations or relationships. It is also not a constant because a constant is a fixed value that doesn't change. "6x" is an algebraic expression that combines a coefficient (6) and a variable (x).
Final answer:
The term 6x is an example of an expression, comprising a coefficient and a variable. It's not a constant, which doesn't change, nor a formula, which represents a relationship between quantities.
Explanation:
The term 6x is an example of an expression, which is a combination of one or more numbers, variables, and mathematical operations like addition, subtraction, multiplication, and division. In 6x, 6 is a coefficient multiplying the variable x. A variable is something that can take on different values. The value of x can change, and depending on what value x has, the value of the expression 6x changes as well.
Expressions contrast with constants, which are values that do not change. Examples of constants include the speed of light or Planck's constant. In expressions, constants can appear along with variables, but in the case of 6x, there is no constant unless x is given a specific value. Neither is 6x a formula, which would typically involve multiple variables and possibly constants to represent a relationship between different quantities.
An understanding of variables and expressions is essential for solving equations and algebraic manipulations. Knowing the difference between these terms helps students in mathematical reasoning and problem-solving.
