Question

Match the expressions given in words with their values when d = 3.

A) 0
B) 3
C) 6
D) 12

The difference of 2 times d minus 3
4 added to the difference of d minus 3
The difference of d minus 3 divided by 2
The quotient of 12 divided by the difference of 3 times d minus 3

Answer 1

The only expression given in words that matches with a provided value when d = 3 is 'The difference of d minus 3 divided by 2,' which equals 0 and corresponds to option A.

Step-by-step explanation:

We need to match the expressions given in words with their values when d = 3.

1. The difference of 2 times d minus 34 added to the difference of d minus 3:
   2d - 34 + (d - 3) = 2(3) - 34 + (3 - 3) = 6 - 34 + 0 = -28, which is not one of the options provided.
2. The difference of d minus 3 divided by 2:
   (d - 3)/2 = (3 - 3)/2 = 0/2 = 0, which corresponds to option A.
3. The quotient of 12 divided by the difference of 3 times d minus 3:
   12 / (3d - 3) = 12 / (3(3) - 3) = 12 / (9 - 3) = 12 / 6 = 2, which is also not one of the options provided.

Thus, the expression that matches one of the given values is the second one, which equates to option A (0).