Suppose the polynomial function below represents the power generated by a wind turbine, where x represents the wind speed in met
ers per second and y represents the kilowatts generated. Interpret ƒ(10). f(x) = 0.08x^3 + x^2 + x + 0.26
2 answers:
Answer:
<em>f(10) or the power generated by the wind turbine at the wind speed of 10 m/s is </em><em>190.26 kW</em>
Step-by-step explanation:
The given polynomial function is,
where,
x represents the wind speed in meters per second,
y represents the kilowatts generated.
Putting x=10, we can get the value of f(10).
So,
Therefore,at x=10 or when the wind speed is 10 m/s, then y or the power generated by the wind turbine will be 190.26 kW
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First, pull 2 out from the first two terms:
Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have
The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have
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If you multiply this out you will get the exact expression we were given. This means that:
a = 2
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We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106