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Nutka1998 [239]
4 years ago
12

54 - 4a^2 3b^3 when a = -2 and b = 4?

Mathematics
1 answer:
Bumek [7]4 years ago
7 0
54 - 4a^2 + 3b^3 when a = -2 and b = 4 is 54 - 4(-2)^2 + 3(4)^3 = 54 - 4(4) + 3(64) = 54 - 16 + 192 = 230
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Answer:

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Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

N(T(t)) = 22 * (8t + 1.7)^2  - 123 * (8t + 1.7) + 40

N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40

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8019 = 1408t^2 - 385.6t - 105.52

1408t^2 - 385.6t - 8124.52 = 0

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

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