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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. exponent
B. variable
C. constant
D. coefficient

Sagot :

GinnyAnsweridn
Let's analyze the given expression step-by-step:

[tex]\[ 9 + 4(x + 2) - 3x \][/tex]

1. Identify Each Component:
- [tex]\(9\)[/tex] is a constant term.
- [tex]\(4(x + 2)\)[/tex] involves a distributive property where 4 is multiplied by both [tex]\(x\)[/tex] and 2. Here, [tex]\(x\)[/tex] is a variable, and 2 is a constant.
- [tex]\(-3x\)[/tex] means [tex]\(3\)[/tex] is multiplied by the variable [tex]\(x\)[/tex].

2. Distribute [tex]\(4\)[/tex] in [tex]\(4(x + 2)\)[/tex]:
- [tex]\(4(x + 2)\)[/tex] can be expanded to [tex]\(4x + 8\)[/tex].

So the expression becomes:

[tex]\[ 9 + 4x + 8 - 3x \][/tex]

3. Combine Like Terms:
- Combine the constant terms: [tex]\(9 + 8 = 17\)[/tex].
- Combine the terms with [tex]\(x\)[/tex]: [tex]\(4x - 3x = x\)[/tex].

So the simplified expression is:

[tex]\[ 17 + x \][/tex]

4. Focus on the Term "3" in the original expression:

In the original expression [tex]\(9 + 4(x + 2) - 3x\)[/tex], "3" appears in the term [tex]\(-3x\)[/tex]. This means that "3" is multiplied by the variable [tex]\(x\)[/tex]. In mathematics, a term that is multiplied by a variable is called a coefficient.

Therefore:
The term that best describes "3" in the given expression is:

D. coefficient
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