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Ostrovityanka [42]
3 years ago
9

If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (fºg)(10)?

Mathematics
2 answers:
jolli1 [7]3 years ago
6 0

Answer:

2x - 3..... 2*10 - 3 = 17

Step-by-step explanation:

Fog) = g(fx)) = f(x) - 4 => 2x - 3

kari74 [83]3 years ago
6 0

Answer:

37

Step-by-step explanation:

Substitute x = 10 into g(x), then substitute the result into f(x)

g(10) = 10 - 4 = 6 then

f(6) = 6^2 + 1 = 36 + 1 = 37

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P(t) = 100e^{0.0251t}

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Exponential equation of growth:

The exponential equation for population growth is given by:

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In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that P(0) = 100. So

P(t) = 100e^{kt}

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that P(60) = 450, and we use this to find k. So

450 = 100e^{60k}

e^{60k} = 4.5

\ln{e^{60k}} = \ln{4.5}

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So

P(t) = 100e^{0.0251t}

Doubling time:

This is t for which P(t) = 2P(0) = 200. So

200 = 100e^{0.0251t}

e^{0.0251t} = 2

\ln{e^{0.0251t}} = \ln{2}

0.0251t = \ln{2}

t = \frac{\ln{2}}{0.0251}

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The doubling time is of 27.65 minutes.

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3 years ago
What is the equation of the line with a slope of 4/3 and y-intercept of -6
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y=4/3x-6

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