Answer :
Let's analyze each option to determine if there is a term with a coefficient of 9.
A. [tex]\( 6(x + 5) \)[/tex]
- First, expand the expression:
[tex]\( 6(x + 5) = 6x + 30 \)[/tex]
- In the expanded form [tex]\( 6x + 30 \)[/tex], there is no term where the coefficient is 9.
B. [tex]\( 9 \times \div 6 \)[/tex]
- This is not a valid algebraic expression as it does not follow the standard rules of algebraic notation. Therefore, it does not contain any terms with any coefficient.
C. [tex]\( 6 + x - 9 \)[/tex]
- Simplify the expression:
[tex]\( 6 + x - 9 = x - 3 \)[/tex]
- In the simplified form [tex]\( x - 3 \)[/tex], there is no term where the coefficient is 9.
D. [tex]\( 6x - 9 \)[/tex]
- This expression is already simplified as [tex]\( 6x - 9 \)[/tex]
- The only terms are [tex]\( 6x \)[/tex] and [tex]\(-9\)[/tex], none of which have a coefficient of 9.
After evaluating all these options, none of the given expressions contain a term with a coefficient of 9. Therefore, the answer is:
[tex]\[ -1 \][/tex]
A. [tex]\( 6(x + 5) \)[/tex]
- First, expand the expression:
[tex]\( 6(x + 5) = 6x + 30 \)[/tex]
- In the expanded form [tex]\( 6x + 30 \)[/tex], there is no term where the coefficient is 9.
B. [tex]\( 9 \times \div 6 \)[/tex]
- This is not a valid algebraic expression as it does not follow the standard rules of algebraic notation. Therefore, it does not contain any terms with any coefficient.
C. [tex]\( 6 + x - 9 \)[/tex]
- Simplify the expression:
[tex]\( 6 + x - 9 = x - 3 \)[/tex]
- In the simplified form [tex]\( x - 3 \)[/tex], there is no term where the coefficient is 9.
D. [tex]\( 6x - 9 \)[/tex]
- This expression is already simplified as [tex]\( 6x - 9 \)[/tex]
- The only terms are [tex]\( 6x \)[/tex] and [tex]\(-9\)[/tex], none of which have a coefficient of 9.
After evaluating all these options, none of the given expressions contain a term with a coefficient of 9. Therefore, the answer is:
[tex]\[ -1 \][/tex]