Wendy received a bill for $25 from a magazine club. She paid the magazine club $25. This can be expressed by the following equation.
25+ (-25) = 0
Which mathematical property justifies that the balance in her account is $0?
A. additive inverse
B. multiplicative inverse
C. additive property of zero
D. distributive property

The mathematical property 'additive inverse' justifies that the balance in her account is $0.

Step-by-step explanation:

We know that the additive inverse is what we add to a number to obtain zero.

In other words, the sum of a number and its opposite is zero.

so

When we write the equation

25+ (-25) = 0

It means the mathematical property 'additive inverse' justifies that the balance in her account is $0.

Because the additive inverse of +25 is -25, and the sum of 25+ (-25) is zero.

Therefore, the mathematical property 'additive inverse' justifies that the balance in her account is $0.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."