Khalil is fighting a sinus infection. His doctor prescribed a nasal spray and an antibiotic to fight the infection. The active ingredients, in milligrams, remaining in the bloodstream from the nasal spray, n (t) , and the antibiotic, a (t) are modeled in the functions below, 28 (a) where t is the time in hours since the medications were taken, n (t) = t+4 t+ 4 a (t) = t+5 Part A Which drug is made with a greater initial amount of active agreement? Justify your answer. (b) Part B Raymond's doctor told him to take both drugs at the same time. After how many hours will both medications have the same amount of active ingredient remaining in his bloodstream? Justify your answer.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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x + 4) (* – 4)
Khalil is fighting a sinus infection. His doctor prescribed a nasal spray and an antibiotic to fight the infection. The active ingredients, in
milligrams, remaining in the bloodstream from the nasal spray, n (t), and the antibiotic, a (t) are modeled in the functions below,
28
(a)
where t is the time in hours since the medications were taken.
n (t)
t+4
t+ 4
a (t) =
t+5
t2 + 9t + 20
Part A
Which drug is made with a greater initial amount of active agreement? Justify your answer.
(b)
Part B
Raymond's doctor told him to take both drugs at the same time. After how many hours will both medications have the same amount
of active ingredient remaining in his bloodstream? Justify your answer.
Transcribed Image Text:x + 4) (* – 4) Khalil is fighting a sinus infection. His doctor prescribed a nasal spray and an antibiotic to fight the infection. The active ingredients, in milligrams, remaining in the bloodstream from the nasal spray, n (t), and the antibiotic, a (t) are modeled in the functions below, 28 (a) where t is the time in hours since the medications were taken. n (t) t+4 t+ 4 a (t) = t+5 t2 + 9t + 20 Part A Which drug is made with a greater initial amount of active agreement? Justify your answer. (b) Part B Raymond's doctor told him to take both drugs at the same time. After how many hours will both medications have the same amount of active ingredient remaining in his bloodstream? Justify your answer.
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