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andreev551 [17]
3 years ago
9

Use the model from problem 12 to estimate the population of bacteria at 9 hours. Type your answer below. Show your work.

Mathematics
2 answers:
astra-53 [7]3 years ago
6 0
Check the picture below.

that's done just with the provided links, and I simply ran a line, so it'll be thereabouts, roughly between 13 and 14, depending on how you hang the line.

anyhow, if you have a TI(texas instruments) 89+ or higher, you can just provide the value pairs of the data and run a quadratic regression, or an exponential.

there are some online regression calculators as well.

mezya [45]3 years ago
6 0

Answer:

T=9

P=0.38*9^2-2.45*9+5.1=13.83

Step-by-step explanation:

I'm not quite sure how to explain it... i'm bad at explaining things...

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Answer:

(-2, 11) and (2, 3)

Step-by-step explanation:

<u>Given system of equations:</u>

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 7 ⇒ y = -2x + 7

Solve Using the Substitution Method:

<u>Step 1:</u> Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

<u>Step 2:</u> Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]

x² + 3 - 3 = 7 - 3

⇒ x² = 4 [ Take the square root of both sides. ]

√x² = √4

x = ± 2

⇒ x = -2, x = 2

<u>Step 3:</u> Solve for y.

<em>Substitute the found x-values into one of the given equations.</em>

y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11

y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3

The solutions to the system of equations are: (-2, 11) and (2, 3).

Learn more about system of equations here:

brainly.com/question/26094713

brainly.com/question/27850666

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