Answer: 700 miles.
Step-by-step explanation:
1. You know that 23% of the total distance of the flight from Albuquerque New Mexico to Austin Texas is 161 miles.
2. Then, keeping that information on mind, you can calculate the total distance of the flight (which you call ) as following:
Solve for . Then, you obtain that the result is:
The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9
<h3>How to determine the quadratic equation?</h3>From the question, the given parameters are:
Roots = (-1 - √2)/3 and (-1 + √2)/3
The quadratic equation is then calculated as
f(x) = The products of (x - roots)
Substitute the known values in the above equation
So, we have the following equation
This gives
Evaluate the products
Evaluate the like terms
So, we have
f(x) = x²+ 2/3x - 1/9
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