Find the best solutions to your problems with the help of IDNLearn.com's experts. Join our platform to receive prompt and accurate responses from experienced professionals in various fields.

Select the correct answer.

Consider the expression below:
[tex]\[ 9 + 4(x + 2) - 3x \][/tex]

Select the term that best describes "3" in the given expression.

A. Coefficient
B. Exponent
C. Variable
D. Constant


Sagot :

To address the given question, we need to analyze the expression [tex]\( 9 + 4(x + 2) - 3x \)[/tex] and identify the role of the number "3". To do this, let's break down and clearly identify each component of the expression:

1. Constants: Numbers that stand alone without any variables. In this expression, the constants are 9 and 8 (from simplifying 4*2).

2. Variable: A symbol used to represent a number that can change. In this expression, the variable is [tex]\( x \)[/tex].

3. Coefficient: A number that multiplies a variable. It is placed directly before the variable. For example, in [tex]\( 3x \)[/tex], the number 3 is the coefficient because it multiplies the variable [tex]\( x \)[/tex].

4. Exponent: A number indicating how many times a base is multiplied by itself. For example, in [tex]\( x^2 \)[/tex], 2 is the exponent.

Now, let’s look specifically at the term [tex]\(-3x\)[/tex] in the expression [tex]\( 9 + 4(x + 2) - 3x \)[/tex]:

- The number “3” precedes the variable [tex]\( x \)[/tex] and multiplies it, making it the coefficient of [tex]\( x \)[/tex].

Considering the other terms:
- The 9 and any other constants remain independently as constants.
- The 4 is a coefficient for the entire parentheses [tex]\( (x + 2) \)[/tex] but not directly relevant to the specific question about "3".

Therefore, the number "3" in the term [tex]\(-3x\)[/tex] is indeed the coefficient because it multiplies the variable [tex]\( x \)[/tex].

Thus, the best term to describe "3" in the given expression is:

A. coefficient