Answer :
To solve for the value of the rational expression [tex]\(\frac{15 - x}{9 - x}\)[/tex] when [tex]\(x = 3\)[/tex], we need to follow these steps:
1. Substitute the value of [tex]\(x\)[/tex] into the expression:
[tex]\[ \frac{15 - 3}{9 - 3} \][/tex]
2. Simplify the numerator and the denominator separately:
[tex]\[ \text{Numerator: } 15 - 3 = 12 \][/tex]
[tex]\[ \text{Denominator: } 9 - 3 = 6 \][/tex]
3. Form the rational expression with the simplified numerator and denominator:
[tex]\[ \frac{12}{6} \][/tex]
4. Simplify the fraction:
[tex]\[ \frac{12}{6} = 2 \][/tex]
So, the value of the rational expression [tex]\(\frac{15 - x}{9 - x}\)[/tex] when [tex]\(x = 3\)[/tex] is [tex]\(2\)[/tex]. Thus, the correct answer is:
C. 2
1. Substitute the value of [tex]\(x\)[/tex] into the expression:
[tex]\[ \frac{15 - 3}{9 - 3} \][/tex]
2. Simplify the numerator and the denominator separately:
[tex]\[ \text{Numerator: } 15 - 3 = 12 \][/tex]
[tex]\[ \text{Denominator: } 9 - 3 = 6 \][/tex]
3. Form the rational expression with the simplified numerator and denominator:
[tex]\[ \frac{12}{6} \][/tex]
4. Simplify the fraction:
[tex]\[ \frac{12}{6} = 2 \][/tex]
So, the value of the rational expression [tex]\(\frac{15 - x}{9 - x}\)[/tex] when [tex]\(x = 3\)[/tex] is [tex]\(2\)[/tex]. Thus, the correct answer is:
C. 2
