Choose the function that represents the data in the table.
y= 3x + 2
y= 3x2 + 2
y=+2
y= 3* + 2

Given:

The table in the data represents the quadratic function.

We need to determine the equation of the function.

The general form of the quadratic equation is

Let us substitute the three coordinates (1,5), (2,14) and (3,29) in the general form.

Thus, we have;

  ------ (1)

------ (2)

------(3)

Subtracting (2) from (1), we get;

--------- (4)

Subtracting (3) from (2), we get;

-------- (5)

Subtracting (5) from (4), we have;

Thus, the value of a is 3.

Substituting the value of a in equation (4), we get;

Thus, the value of b is 0.

Substituting a = 3 and b = 0 in equation (1), we get;

Thus, the value of c is 2.

Hence, substituting a = 3, b = 0 and c = 2 in the general form of the quadratic equation , we get;

Therefore, the function that represents the data in the table is

Hence, Option B is the correct answer.

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: