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kow [346]
3 years ago
15

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

Mathematics
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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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]

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\bar T - Mean temperature, measured in degrees.

A - Amplitude, measured in degrees.

\tau - Daily period, measured in hours.

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

If \bar T = 85\º, A = 15\º and \tau = 24\,h, the resulting function for the outside temperature is:

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