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Molodets [167]
3 years ago
11

PLEASE HELP DUE IN 30 MINUTES

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0
<span>(a) At the end of Month 0, about how many more insects were in Pod A than Pod B? Explain.
In Pod A, the point is higher than 50, it could be 60 to 70 insects. Pod B has 20 insects. So, Pod A has at least 40 insects more than Pod B.

(b) Find and compare the growth rates of each pod. Show your work.
Pod A: (0,60) ; (1,80) ; (2,100) 
(80-60)/60 = 0.33
(100-80)/80 =  0.25

Pod B: (0,20) ; (1,44) ; (2,97)
(44-20)/20 = 1.2
(97-44)/44 = 1.2

Based on my computation, the rate of Pod A is lower than the rate of Pod B. 

(c) When does the population in Pod B exceed the population in Pod A? Explain. 
Pob B exceeds the population of Pod A at the END OF MONTH 4.

Pod A has a population of less than 200 while Pod B has a population of 469.</span>
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Step-by-step explanation:

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zlopas [31]

Answer:

x = 1

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\sf \rightarrow log(3x) + log(x + 4) = log(15)

Rule: log(a) + log(b) = log(ab)

\sf \rightarrow log(3x(x + 4)) =  log(15)

cancel out log on both sides

\sf \rightarrow 3x(x + 4) = 15

relocate constant variable

\sf \rightarrow 3x^2 + 12x -15 = 0

take 3 as a common factor

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divide both sides by 3

\sf \rightarrow x^2 + 4x -5 = 0

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collect into groups

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set to zero

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relocate variables

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