The first one is correct: 9/11.
The second one is: y= x^2 - 6x + 45
1. Given the table of values, the inequality shows that the following x-values and their corresponding y-values will be used in the equation.
x_1 = 2, x_2 = 13
ROC: (y_2 - y_1)/(x_2 - x_1)
Substitute values from the table into this equation.
(10-1)/(13-2) = 9/11
2.
Then for the second question, standard form means it is written starting with the highest exponent and descending, finally ending with a constant (a # without a variable attached).
y=(x-3)^2 + 36
Expanded, this looks like:
y=(x-3)(x-3) + 36
Now FOIL the terms in the parentheses:
y = x^2 -3x -3x + 9 + 36
Finally, add the like terms (the ones of the same degree, and the constants).
y= x^2 - 6x + 45