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3 years ago

15

How many x intercept appear on the graph of the polynomial function F(x)=x4-5x2

1 answer:

4vir4ik [10]3 years ago

3 0

$f(x)=x^4-5x^2\\\\x^4-5x^2=0\\\\x^2(x^2-5)=0\\\\x^2[x^2-(\sqrt5)^2]=0\\\\x^2(x-\sqrt5)(x+\sqrt5)=0\iff x=0\ \vee\ x=\sqrt5\ \vee\ x=-\sqrt5$

Answer: 3 x-intercepts.

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WINSTONCH [101]

Answer:

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Step-by-step explanation:

Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:

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Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:

$T(t) = \bar T + A \cdot \sin \left[2\pi\cdot\frac{t-6\,h}{\tau} \right]$

Where:

$\bar T$ - Mean temperature, measured in degrees.

$A$ - Amplitude, measured in degrees.

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$t$ - Time, measured in hours. (where t = 0 corresponds with 5 AM).

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Step-by-step explanation:

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Answer:

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