The table shows the outputs, y, for different inputs, x: Input (x) 1 2 3 4
Output (y) 5 5 7 9

Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) = 2x − 8. Which relation has a greater value when x = 4? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 34? Show work for full credit. (5 points)

yes, this data represents a function. A function will not have any repeating x values. It can have repeating y values, just not the x ones.

Step-by-step explanation:

data in the table : when x = 9this is already a point on the table (9,12)...so the value on the table, when x = 9, is 12

f(x) = 5x + 14when x = 9

f(9) = 5(9) + 14

f(9) = 45 + 14

f(9) = 59

the relation with the greater value would be : f(x) = 5x + 14

f(x) = 5x + 14when f(x) = 64

64 = 5x + 14

64 - 14 = 5x

50 = 5x

50/5 = x

10 = x <==

hope this helps :)

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

{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