Which statement about the sum of two additive inverses is true? select all that apply.

a.
the sum is 1.

b.
the sum is zero.

c.
the sum must be a positive number.

d.
the sum must be a negative number.

e.
the addends are the same number with opposite signs.

f.
the addends are the same number with the same signs.

For this case we have that by definition, the additive inverse of a number is given by its opposite. That is, it is that number that with the opposite sign is added to the original number, obtaining as a result "zero".

Example:

The additive inverse of 5 is -5. Thus,

Thus, the correct options are:

Option B, E

Option B, E

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.