Final answer:
The expression (-2x + 9) - (3x - 4) simplifies to -5x + 13 by distributing the negative sign and combining like terms; hence the correct answer is B. -5x + 13.
Step-by-step explanation:
The expression to be simplified is (-2x + 9) – (3x – 4). To subtract one polynomial from another, we subtract the coefficients of like terms while paying attention to the signs. Following this, let's distribute the negative sign to the terms inside the second set of parenthesis.
The operation will then be (-2x + 9) – 3x + 4, since –(3x) equals –3x and –(4) equals +4. Combining like terms gives us (-2x – 3x) + (9 + 4) which simplifies to –5x + 13.
Therefore, the correct answer is B. -5x + 13.