Question

Which expression has the greatest value when x = -2 and y = -3?

(7.NS.3)
F. - xy
H. x - y
G. Xy
I. -x- y​

Answer 1

G) the expression has the greatest value when 6.

ie,
`xy=b`

Explanation:

F) Given expression is -xy and to find the greatest value of that expression when
`x=-2` and
`y=-3`

Substitute the given values of
`x=-2` and
`y=-3` is the given expression

`-xy=-(2)(-3)`

`=-(6)`

`-xy=-6\hfill(1)`

h) x-y

Given expression is x-y

substitute x=-2, y=-3 is above expression we get

`x-y=-2-(3)`

`-2+3`

`x-y=1\hfill(2)`

G, xy

Given expression is xy

Substitute x=-2, y=-3 in above expression

`xy=(-2)(-3)`

`xy=6\hfill(3)`

I) -x-y

Given expression is -x-y

put x=-2, y=-3 in above expression

`-x-y=-(-2)-(-3)`

`=2+3`

`-x-y=5\hfill(4)`

Now comparing the greatest values equation (1), (2), (3) and (4) we get

Equation (3) xy=6 has the greatest value