Stephen and aaron solved the same equation using two separate methods. their work is shown in the table below:

stephen

aaron

3x − 2 = 5x − 6

3x − 2 = 5x − 6

3x − 2 + 2 = 5x − 6 + 2

3x − 3x − 2 = 5x − 3x − 6

3x = 5x − 4

−2 = 2x − 6

3x − 5x = 5x − 5x − 4

−2 − 6 = 2x

−2x = −4

−8 = 2x

negative two x divided by negative two equals negative four divided by negative two

negative eight divided by two equals two x divided by two

x = 2

−4 = x

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Math it's appreciated. (picture provided)

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