The following system of equations models the population (n) of two organisms after t days. Solving the system shows that the populations are equal for two values of (1=61+3) n = 2t² Which of the following statements supports the validity of these solutions? The solution - 1 is invalid because time cannot be negative. The solution - 1 is invalid because 6(-1) +8 equals 2 and 2(− 1)² equals - 2. Both solutions are valid because 6(-1)+8=2(− 1)² and 6(4) + 8 = 2(4)² t = -1 t=4
The following system of equations models the population (n) of two organisms after t days. Solving the system shows that the populations are equal for two values of (1=61+3) n = 2t² Which of the following statements supports the validity of these solutions? The solution - 1 is invalid because time cannot be negative. The solution - 1 is invalid because 6(-1) +8 equals 2 and 2(− 1)² equals - 2. Both solutions are valid because 6(-1)+8=2(− 1)² and 6(4) + 8 = 2(4)² t = -1 t=4
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:9. The following system of equations models the population (n) of two organisms after t days. Solving the system shows that the populations are equal for two values of t.
(n = 6t+8)
n = 21²
Which of the following statements supports the validity of these solutions?
The solution - 1 is invalid because time cannot be negative.
t = -1
The solution - 1 is invalid because 6(-1) +8 equals 2 and 2(− 1)² equals - 2.
O Both solutions are valid because 6(-1) +8=2(-1)² and 6(4) +8=2(4)²
O Both solutions are valid because the graphs of both solutions will intersect at (-1, 2) and (4, 32)
t=4
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