Completing the square is a process to find the solutions, or the x-values, to a quadratic equation. This method can only work if it is in the format: x^2 + bx = c
In this equation, the b value is -12 and the c value is -6. The process for completing the square goes like this:
x^2 + bx + (b/2)^2 = c + (b/2)^2
Now let’s solve the equation above using this method.
Step 1: x^2 - 12x + (-12/2)^2 = -6 + (-12/2)^2
Step 2: x^2 - 12x + (-6)^2 = -6 + (-6)^2
Step 3: x^2 - 12x + 36 = -6 + 36
Step 4: x^2 - 12x + 36 = 30
Now, to factor it. After doing the process until now, the left side of the equation can ALWAYS be in the format: (x + a)^2
Step 5: x^2 - 12x + 36 can be factored in this format as (x - 6)^2
Step 6: (x - 6)^2 = 30
Step 7: x - 6 = √30
Step 8: x = 6 ±√30
Answer:
[4, positive infinity]
Step-by-step explanation:
since f(4) exists, the interval starts at 4, and continues to infinity.
Answer:
4 miles?
Step-by-step explanation:
The answer would be 68x-72
<h3>(14, 20) is the ordered pair of the function f(x)</h3>
<em><u>Solution:</u></em>
Given that,
(20, 14) is an ordered pair of the inverse of f(x)
We have to find the ordered pair of the function f(x)
In an inverse funciton, the domain of f(x) becomes the range and range of f(x) becomes the domain
To find the ordered pair of the function f(x), we swap the variables x and y
(y, x) of inverse of f(x) becomes (x, y) of f(x)
Therefore, (14, 20) is the ordered pair of the function f(x)