Determine the check digit for the upc number 61330732461d. recall the check digit is chosen so that the calculation below has 0 for the final digit when a through 4, are the first 11 digits of the upc and d is the check digit.

d=0

Step-by-step explanation:

61330732461d needs the ones digit to equal zero

3a1+ a2+3a3+a4+3a5+a6+3a7+a8+3a9+a10 +3a11 +d

3(6)+ 1+3(3)+3+3(0)+7+3(3)+2+3(4)+6 +3(1) +d

18 +1+9+3+0+7+9+2+12+6+3+d

70+d

The final digit needs to equal 0

d must be 0

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction