Apply the distributive property to create an equivalent expression. 1/2 (2a-6b+8) =?

a - 3b + 4

Step-by-step explanation:

The distributive property indicates that two or more terms present in a sum or subtraction multiplied by another quantity, is equal to the sum or subtraction of the multiplication of each of the terms of the sum or subtraction by the number.

So,

1/2 (2a-6b + 8) = 1/2 (2a) + 1/2 (-6b) + 1/2 (8)

Now we multiply the factor (1/2) for each of the three terms,

1/2 (2a) + 1/2 (-6b) + 1/2 (8) = (2/2)a + (-6/2)b + (8/2) = a – 3b + 4

The solution is a - 3b + 4,

So we say that 1/2(2a - 6b + 8) is equivalent to a - 3b + 4.

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3