Algebra and Arithmetic

Adding zero to any negative number preserves its negative value because zero is the additive identity. For example, -5 + 0 = -5. Zero doesn't change the sign or magnitude of any number. The result cannot be positive, zero, or infinity.

Division by zero is undefined in mathematics. When any non-zero number is divided by zero, the result is represented as a fraction with zero as the denominator, which is undefined. In limit contexts it may approach infinity, but technically the operation itself has no meaning in standard arithmetic.

Assuming 'S.I on o' is a typo for 'S.I on b': if b = ar (SI on a) and c = br (SI on b) at same rate r and time, then c = ar^2. This gives b^2 = (ar)^2 = a(ar^2) = ac.

Assuming 'S.I on o' is a typo for 'S.I on b': if b = ar (SI on a) and c = br (SI on b) at same rate r and time, then c = ar^2 and b^2 = a(ar^2) = ac. This is a duplicate of question 94628.

Using order of operations (BODMAS/PEMDAS), multiplication comes before addition. So 7*2=14, then 8+14=22. None of the options A, B, or C equal 22, making D the correct choice.

XOR (exclusive OR) returns 1 only when exactly one input is 1. With a=0 and b=1, exactly one input is 1, so the result is 1. XOR would return 0 only if both inputs were the same (both 0 or both 1).

When you add zero to any number, the result is that same number. Since we're adding zero to a negative number, the result is still negative. Zero is neither positive nor negative, it's neutral.

This is a fundamental algebraic identity. The factorization a³+b³+c³-3abc = (a+b+c)(a²+b²+c²-ab-bc-ca) is always true and useful for simplifying cubic expressions. Note that if a+b+c=0, then a³+b³+c³=3abc.

In various programming and database languages (such as SQL and PL/SQL), the operators <>, !=, and ^= are all valid representations of the 'not equal to' comparison operator.

Not negative includes zero and all positive numbers. Zero is neither positive nor negative, but it is definitively not negative, so the correct interpretation is greater than or equal to 0.

Two consecutive minus signs would mean subtracting a negative number. In SQL, this is written as "value - (-another_value)" which simplifies to addition. The statement's phrasing doesn't represent standard SQL syntax.