Maggie used the commutative property to write StartFraction 4 Over 5 EndFraction + 6.9 y minus 8 as the equivalent expression 6.9 y + 8 minus StartFraction 4 Over 5 EndFraction. Did Maggie apply the commutative property correctly? Why or why not?

Maggie did not apply the law correctly

Step-by-step explanation:

Given 3 numbers A, B and C, for a commutative property

(A+B)+C = C+(A+B)

This shows that the remains the same no matter what values comes first

For the given expression

4/5+6.9y-8 = 6.9y+8-4.5

The values are not commutative because of the presence of negative sign. For the expression to be commutative, they must be equal no matter the way it is arranged and the sign must be positive all through for both sides. Hence Maggie did not apply the law correctly

sites:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1