Final answer:
After testing each pair of numbers, none of the options (A, B, C, D) multiplies to -48 and adds up to 13, so none of them is correct.
Step-by-step explanation:
The student is asking which pair of numbers multiplies to -48 and adds up to 13. To solve this, we need to find two numbers that when multiplied together give a product of -48, and when added together give a sum of 13.
Let's examine each of the options given:
A) (4, -12): 4 * (-12) = -48 and 4 + (-12) = -8. Does not meet the conditions.
B) (8, -6): 8 * (-6) = -48 and 8 + (-6) = 2. Does not meet the conditions.
C) (-16, 3): (-16) * 3 = -48 and (-16) + 3 = -13. Does not meet the conditions.
D) (6, -8): 6 * (-8) = -48 and 6 + (-8) = -2. Does not meet the conditions.
However, none of the options given satisfies both conditions. Therefore, none of the provided options A to D is correct.