A portion of the Quadratic Formula proof is shown. Fill in the missing statement.
Statements
Reasons
4acb1
Find a common denominator on the right side of the equation
4a-
b2-4ac
Add the fractions together on the night side of the equation
sa2
Qub_b² - 4ac
Rewrite the perfect square trinomial on the left side of the equation as a binomial squared
**3-18
Take the square root of both sides of the equation
x+ = = Vb? - 4ac
Simplify the right side of the equation
Subtract
from both sides of the equation

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

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step-by-step explanation: