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Data A - 5

Data B - 5

Data C - 5

Data D - 6

Step-by-step explanation:

Data A,

Graph for the data shows that there is a distinct value of y (output value) for every input value of x.

Therefore, Data A is a function.

Data B,

Each ordered pair shows exactly one output value for each input value.

Therefore, Data B represents a function.

Data C,

For each input value there is exactly one output value.

Therefore, Data C represents a function.

Data D,

From the given table,

For x = -1 there are two output values y = 27, 39

For x = -2 output values are y = 45, 21

Since for these input values there are two output values, Data D will not be a function.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98