Description
- OPEN ENDED Give an example of an equation that is not quadratic but can be written in quadratic form. Then write it in quadratic form.
- OPEN ENDED Write a set of ordered pairs for functions f and g, given that f ∘ g = {(4, 3), (-1, 9), (-2, 7)}.
- Writing in Math Use the information about medication on page 382 to explain how the roots of an equation can be used in pharmacology. Include an explanation of what the roots of this equation represent and an explanation of what the roots of this equation reveal about how often a patient should take this medication.
- Writing in Math Refer to the information on page 411 to explain how inverse functions can be used in measurement conversions. Point out why it might be helpful to know the customary units if you are given metric units. Demonstrate how to convert the speed of light c = 3.0 × 108 meters per second to miles per hour.
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Explanation & Answer
Attached.
1) An example of an equation that is not quadratic but can be written in quadratic
form:
𝑦 = 𝑥 4 − 5𝑥 2 + 6
The equation in quadratic form:
𝑦 = (𝑥 2 )2 − 5(𝑥 2 ) + 6 = 𝑧 2 − 5𝑧 + 6 Where: 𝑧 = 𝑥 2
2) A set of ordered pairs for functions f and g, given that f ∘ g = {(4, 3), (-1, 9), (-2, 7)}:
f = {(5,3), (9,9), (−3,7)}
g = {(4,5), (−1,9), (−2, −3)}
3) To explain how the roots of an equation can be used in pharmacology:
From page 382. It is obvious that doctors use the given equation of the
concentration of medication in body as a function of time, to guarantee that there is
enough concentration in body for various times.
An explanation of what the roots of this equation represent:
The roots of the equation represent the time after which, the num...