Final answer:
None of the options provided correctly add up to -5 and multiply to -900. When solving for two numbers that meet these conditions, we would need both to be negative, but none of the given pairs match these criteria.
Step-by-step explanation:
The question asks for two numbers that add up to -5 and multiply to -900. To solve, we can use a system of equations where the sum of two numbers, x and y, is equal to -5 (equation 1: x + y = -5), and their product is equal to -900 (equation 2: xy = -900). Considering the options given, we need to find a pair of numbers that satisfy both equations.
- A) 30 and -35 do not add up to -5; they add up to -5.
- B) -30 and 35 add up to 5, not -5.
- C) -30 and -35 add up to -65, not -5.
- D) 25 and -30 add up to -5 (25 + -30 = -5) and multiply to -900 (25 * -30 = -750), therefore, this option is also incorrect.
After evaluating all options, none matches the conditions for both addition and multiplication as set out in the question. Thus, the correct answer is not listed among the options provided. When two numbers are supposed to add up to a negative number and multiply to a negative number, they both would need to be negative, with one having a larger absolute value than the other. However, none of the given options meet these criteria.