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Darya [45]
3 years ago
15

PLEASEEE HELP MEEE!! I DONT UNDERSTAND AT ALL!!

Mathematics
1 answer:
jenyasd209 [6]3 years ago
7 0

Domain: (-∞,∞)

Range: (3,∞)

x-intercepts: none

y-intercepts: (0,7)

Interval positive: (3,∞)

Interval negative: none

Interval increasing: (7,∞)

Interval decreasing: (-∞,7)

I'm not sure what the average rate of change over is though.

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Answer:

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Step-by-step explanation:

Given parameters:

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Solution:

A line perpendicular to  y  = -5x + 1  will have slope that is a negative inverse of the given one.

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Now let us find the y-intercept of the new line;

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The equation of the new line is;

          y  =  \frac{1}{5}x +  \frac{11}{5}  

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<img src="https://tex.z-dn.net/?f=%28%20%5Csin%5E%7B2%7D%20%28%20%5Cfrac%7B%5Cpi%7D%7B%204%20%7D%20%20-%20%20%5Calpha%20%29%20%2
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\dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha)

\dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha)

Now use the identity

\sin \theta = \cos(\frac{\pi}{2} - \theta)

on the left side.

\dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha)

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