8. Given the function below, if h(x) = -1, find x. h(x) = -6x + 20
1 answer:
The value of x when h(x) = -1 is 3.5
Step-by-step explanation:
In the function f(x) = y
- x is the input
- y is the output
∵ h(x) = -6x + 20
∵ h(x) = -1
- Substitute h(x) by -1 in the function above to find the value of x
∴ -1 = -6x + 20
- Subtract 20 from both sides
∴ -1 - 20 = -6x + 20 - 20
∴ -21 = -6x
- Divide both sides by (-6)
∴
∴ 3.5 = x
The value of x when h(x) = -1 is 3.5
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Based on the items produced, and the profit yielded from those items, the best model to represent the data is y = -1.026x² + 1,016.402x - 162,075.
<h3>Which model shows the profit and items produced best?</h3><h3 />You can find this out by testing the models using the items produced (independent or "x" value) to see if the model produces a close enough y value.
Assuming x is 100:
= -1.026x² + 1,016.402x - 162,075
= (-1.026 x 100²) + (1,016.402 x 100) - 162,075
= -$70,694.80
Assuming x is 400:
= -1.026x² + 1,016.402x - 162,075.
= (-1.026 x 400²) + (1,016.402 x 400) - 162,075.
= $80,325.80
These figures are very close to the actual y values given which makes this the best model.
Find out more on fitting models to data at brainly.com/question/11196020.
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