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Westkost [7]
3 years ago
7

What is the solution set?

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Step-by-step explanation:

x \div 4 \leqslant 9 \div x

x ^{2}  \leqslant 36

x {}^{2}  - 36 \leqslant 0

x  {}^{2} { - 6}^{2}  \leqslant 0

(x + 6)(x - 6) \leqslant 0

x \leqslant  - 6 \:  \: or \:  \:  \: x \leqslant 6

- 6 \geqslant x \leqslant 6

From the explanation the correct answer is the last one from the question above

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Review the table showing wind speed, y, in miles per hour, measured x hours after midnight.
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The trigonometric function that best models the data is determined as y = 1.87sin(–0.29x + 4.79) + 6.13.

<h3>Trigonometric function that models the data</h3>

The trigonometric function that best models the data is determined as follows;

y = 1.87sin(-0.29x + 4.79) + 6.13

Use the above equation to check if its gives you values in the table;

<h3>when x = 1</h3>

y = 1.87sin(-0.29 x 1  + 4.79) + 6.13

y = 1.87sin(4.5 rad) + 6.13

y = 4.3

<h3>when x = 2</h3>

y = 1.87sin(-0.29 x 2  + 4.79) + 6.13

y = 1.87sin(4.21 rad) + 6.13

y = 4.49

<h3>when x = 4</h3>

y = 1.87sin(-0.29 x 4  + 4.79) + 6.13

y = 1.87sin(3.63 rad) + 6.13

y = 5.2

<h3>when x = 7</h3>

y = 1.87sin(-0.29 x 7  + 4.79) + 6.13

y = 1.87sin(2.76 rad) + 6.13

y = 6.8

<h3>when x = 9</h3>

y = 1.87sin(-0.29 x 9  + 4.79) + 6.13

y = 1.87sin(2.18 rad) + 6.13

y =7.7

<h3>when x = 10</h3>

y = 1.87sin(-0.29 x 10  + 4.79) + 6.13

y = 1.87sin(1.89 rad) + 6.13

y = 7.9

<h3>when x = 13</h3>

y = 1.87sin(-0.29 x 13  + 4.79) + 6.13

y = 1.87sin(1.02 rad) + 6.13

y = 7.72

<h3>when x = 17</h3>

y = 1.87sin(-0.29 x 17  + 4.79) + 6.13

y = 1.87sin(-0.14 rad) + 6.13

y = 5.9

<h3>when x = 20</h3>

y = 1.87sin(-0.29 x 20  + 4.79) + 6.13

y = 1.87sin(-1.01 rad) + 6.13

y = 4.6

Thus, the trigonometric function that best models the data is determined as y = 1.87sin(–0.29x + 4.79) + 6.13.

Learn more about trigonometry functions here: brainly.com/question/1143565

#SPJ1

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Which description compares the domains of function A and Function B correctly?
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Answer:

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Step-by-step explanation:

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On the other hand, the natural logarithm function is defined everywhere on the real line except when x =0; this will imply that its domain  is the set of real numbers greater than 0 . In fact, the y-axis or the line x =0 is a vertical asymptote of the natural log function; meaning that its graph approaches this line indefinitely but neither touches nor crosses it.

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I hope this helps.
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