Final answer:
The excluded values of a rational expression are 2 and 5. The expression that could have these excluded values is x+5/x²+7x+10.
Step-by-step explanation:
The excluded values of a rational expression are the values of the variable that make the denominator equal to zero. In this case, the excluded values are 2 and 5. Let's go through the options:
a. x²-7x+10/x+5: This expression does not have excluded values of 2 and 5, so it is not the correct answer.
b. x²+7x+10/x+5: This expression does not have excluded values of 2 and 5, so it is not the correct answer.
c. x+5/x²+7x+10: This expression has excluded values of 2 and 5, so it could be the correct answer.
d. x+5/x²-7x+10: This expression does not have excluded values of 2 and 5, so it is not the correct answer.
Therefore, the correct answer is c. x+5/x²+7x+10. This rational expression has excluded values of 2 and 5.