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Andrej [43]
3 years ago
5

This question is WORTH 15 POINTS

Mathematics
1 answer:
masha68 [24]3 years ago
8 0
3x² - 33x - 180 = 0
3(x² - 11x - 60) = 0
3(x² - 15x + 4x - 60) = 0
3(x + 4)(x - 15) = 0
3(x - 4) = 0 or x - 15 = 0
3x - 12 = 0     <u>  + 15  + 15</u>
<u>    + 12 + 12</u>           x = 15
       <u>3x</u> = <u>12</u>
        3      4
         x = 3

The answer is equal to H.15 and E. 4.
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  • <u>No, he can get an output of 0 with the second machine (function B) but he cannot get an output of 0 with the first machine (function A).</u>

Explanation

The way each machine works is given by the expression (function) inside it.

<u>1)  </u><em><u>Function A</u></em>

To get an output of 0 with the function y = x² + 3, you must solve the equation x² + 3 = 0.

Since x² is zero or positive for any real number, x² + 3 will never be less than 3 (the minimum value of x² + 3 is 3). So, it is not possible to get an output of 0 with the first machine.

<u>2) </u><em><u>Function B</u></em>

Solve y=\sqrt{x}-2=0

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So, he can get an output of 0 by using x = 4.

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