Consider the table of values.

x y
-2 0
-1 2
0 6
1 12
2 20
3 30
4 42

select the statement that is true about the table.

a.
the relationship between the variables in the table is linear because the first differences are constant.
b.
the relationship between the variables in the table is quadratic because the second differences are constant.
c.
the relationship between the variables in the table is linear because the second differences are constant.
d.
the relationship between the variables in the table is quadratic because the first differences are constant.

B.  The relationship between the variables in the table is quadratic because the second differences are constant.

Step-by-step explanation:

We have to look for the differences in the y values of the given table.

The y values are:

0, 2, 6, 12, 20, 30, 42

The differences between the consecutive values are:

2, 4, 6, 8, 10, 12

These are the first differences and are not constant. This means the relationship is not linear. Now we again find the differences between the consecutive values:

2, 2, 2, 2, 2

These are the second differences. The second differences are constant. So this means the given relationship is quadratic.

Therefore, option B gives the correct answer. The relationship between the variables in the table is quadratic because the second differences are constant.

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

there is no points to select.

step-by-step explanation: