answer:To solve this problem, we need to determine the value of x, which represents the sum of a negative integer N and its square. We are given that N = -3. Let's substitute this value into the equation X = N + N^2. X = -3 + (-3)^2 X = -3 + 9 X = 6 The value of x is 6. The answer is: 6

answer:There are 4 odd numbers in the set, so for each number, we have 2 choices: include it or exclude it. Therefore, the total number of subsets that only contain odd numbers is 2^4 - 1 = 15. (Note that we subtract 1 because we exclude the empty set.) So the answer is boxed{15}.The answer is: 15

answer:Hansel received a 10% raise, so his new salary is 30,000 + (30,000 * 0.10) = 30,000 + 3,000 = 33,000. Gretel received a 15% raise, so her new salary is 30,000 + (30,000 * 0.15) = 30,000 + 4,500 = 34,500. To find out how much more money Gretel makes compared to Hansel, we subtract Hansel's salary from Gretel's salary: 34,500 - 33,000 = 1,500. Therefore, Gretel makes 1,500 more than Hansel. 1500 The answer is: 1500

answer:We can rewrite the expression as frac{1}{2}(b^2 + 10b - 6). To find the minimum value of this expression, we want to find the minimum value of b^2 + 10b - 6. We can complete the square to rewrite this expression as (b + 5)^2 - 31. Since (b + 5)^2 is always non-negative, the minimum value occurs when (b + 5)^2 = 0. This occurs when b = boxed{-5}. The answer is: -5