Please help me!! In the following equation, a and b represent integers:

2x + a = 5 -bx

What values of a and b would create an equation with one solution? Fill in the blanks below to answer.

If a is ? and b is ?, the equation would have one solution.

What values of a and b would create an equation with no solution? Fill in the blanks below to answer.

If a is ? and b is ?, the equation would have no solutions.

What values of a and b would create an equation with infinitely many solutions? Fill in the blanks below to answer.

If a is ? and b is ?, the equation would have infinitely many solutions.

(? = Answers)

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above