100POINTS Use the table to answer the questions. The values in the table form a(n) _ sequence. The term values are shown in the _ row, and the term numbers are shown in the _ row. This sequence is associated with a(n) _ function. The domain of the function is the set of time values: _.

Step-by-step explanation:

We observe that the values in the top row are sequential, and that the values in the bottom row have a common difference of 32. That means the sequence is an arithmetic sequence.

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The values in the table form an arithmetic sequence. The term values are shown in the bottom row, and the term numbers are shown in the top row. This sequence is associated with a linear function. The domain of the function is the set of time values: greater than or equal to zero.

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Comment on the function

This function seems to be the linear function ...

  distance = 32×time - 16

It seems a little odd that the distance associated with time zero is negative. We usually think of distance as a positive value, whereas displacement can be a signed value.

As a rule, time is measured as positive from some reference point (the start of motion, for example). Here, we have no reason to believe that the function is intended to be defined for negative time values.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

correct answer is c. just did it

step-by-step explanation: