Final answer:
To simplify the expression 4x(1−0.40) you multiply 1 by 0.40, subtract the result from 1 to get 0.60, and then multiply 4x by 0.60 to obtain the simplified expression 2.4x. The expression 2.4x has one term, factors of 2.4 and x, a coefficient of 2.4, and no constants.
Step-by-step explanation:
To simplify the expression 4x(1−0.40), you first need to perform the multiplication within the parentheses by multiplying 1 by 0.40, which yields 0.40. Then, subtract 0.40 from 1 to get 0.60. Next, multiply the result by 4x to get 4x*0.60, which simplifies to 2.4x. This is the simplified expression.
Now let's breakdown the components of the equation 2.4x:
- Terms: The terms of the expression are the parts separated by a plus (+) or minus (-) sign. In the simplified expression 2.4x, there is only one term, which is 2.4x.
- Factors: The factors are quantities multiplied together to get a product. In the term 2.4x, the factors are 2.4 and x.
- Coefficients: The coefficient is a numerical factor of a term. Here, the coefficient is 2.4.
- Constants: Constants are terms in the expression that do not change. Since this expression does not have a term without a variable, there are no constants.
Therefore, the correct option that lists the terms, factors, coefficients, and constants of the simplified expression 2.4x is:
- Terms: 2.4x
- Factors: 2.4, x
- Coefficients: 2.4
- Constants: None