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alexdok [17]
3 years ago
8

The number of bacteria in a lab experiment can be modeled by the function

Mathematics
1 answer:
vodomira [7]3 years ago
6 0

Answer:

P(t) = 1161(9)^{t}

Step-by-step explanation:

Given

P(t) = 43(3)^{2t+3}

Required

Write in form of P(t) =ab^t

P(t) = 43(3)^{2t+3}

Apply law of indices:

P(t) = 43(3)^{2t}*3^3}

Reorder

P(t) = 43*3^3*(3)^{2t}

Express 3^3 at 27

P(t) = 43*27*(3)^{2t}

P(t) = 1161*(3)^{2t}

Rewrite as:

P(t) = 1161*(3^2)^{t}

Express 3^2 as 9

P(t) = 1161*(9)^{t}

P(t) = 1161(9)^{t}

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Answer: y=-6

Step-by-step explanation:

First convert the equation -2y= 8 into y intercept form by divide both sides by -2.

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Remember lines that a parallel needs to have the same slope but different y-intercepts.

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5 0
3 years ago
The domain of a quadratic function is all real numbers and the range is y s 2. How many x-intercepts does the
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Answer:

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A quadratic function whose maximum degree two. Therefore, Total two x-intercept possible.

We are given the range of quadratic function y less than equal to 2. It means parabola is downward whose maximum value 2.

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Here open down parabola. So, we get total two x-intercept.

Please see the attachment for diagram.

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Go ahead to do the trick
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