Final answer:
To simplify the algebraic expression 43b−17b−11b+5, combine like terms to get 15b+5. The correct answer is (c) 15b+5.
Step-by-step explanation:
The student's question is regarding a linear expression in algebra. To simplify the expression 43b−17b−11b+5, we start by combining like terms. Like terms are terms that contain the same variable raised to the same power. Here, the terms 43b, −17b, and −11b are like terms because they all contain the variable b to the first power.
First, subtract 17b from 43b: 43b − 17b = 26b. Next, subtract 11b from the result: 26b − 11b = 15b. Now, we have the term 15b and the constant 5, which cannot be combined because they are not like terms. Therefore, the full simplified expression is 15b + 5. The correct answer to the student's question is (c) 15b + 5.