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Home » Number plated = 1Ã10â´ bacteria/mL Ã 10â»Â¹ mL = 10Â³ = 1,000. - go-checkin.com

Number plated = 1Ã10â´ bacteria/mL Ã 10â»Â¹ mL = 10Â³ = <<1*10^3=1000>>1,000. - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Thus, the value of $ k $ is $\boxed{9}$.

📌 Question: A zoologist models the population growth of a rare species in the Amazon with the function $ P(t) = t^2 + bt + 12 $, where $ t $ is time in years. If the population stabilizes (i.e., reaches zero growth) at $ t = -6 $, what is the value of $ b $?

📌 Solution: Since the population stabilizes at $ t = -6 $, this means $ P(-6) = 0 $. Substituting into the equation:

📌 P(-6) = (-6)^2 + b(-6) + 12 = 0

📌 - 6b + 12 = 0

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\[ x + 2y = 8 \]
Résoudre le système d'équations :
À partir de la première équation, résoudre pour \( y \) :
\[ y = 10 - 2x \]
\[ x + 2(10 - 2x) = 8 \]
\[ x + 20 - 4x = 8 \]
\[ -3x + 20 = 8 \]
\[ -3x = -12 \]
Substituer \( x = 4 \) dans \( y = 10 - 2x \) :
\[ y = 10 - 2(4) = 2 \]

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\( f(0) = c = 4 \)
\( f(1) = a + b + c = 1 \) → \( a + b + 4 = 1 \) → \( a + b = -3 \)
\( f(2) = 4a + 2b + c = -4 \) → \( 4a + 2b + 4 = -4 \) → \( 4a + 2b =...
a + b = -3 \\
2a + b = -4
Subtract the first from the second: \( (2a + b) - (a + b) = -4 - (-3)...
Substitute into \( a + b = -3 \): \( -1 + b = -3 \) → \( b = -2 \)
So \( f(x) = -x^2 - 2x + 4 \).
Verify:
\( f(0) = 4 \) ✓

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