Chen N

24 Maret 2024 15:06

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Chen N

24 Maret 2024 15:06

Pertanyaan

1. Tentukan Faktor dari 4X²-11X-20= 2. Penyelesaian dari 1/2 X-2>4+4/5 X = 3. Diketahui fungsi f(x)= 3x+9 jika f(-2)=a dan f(b)= -6. Nilai a+b = ....


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Sumber W

Silver

25 Maret 2024 01:22

Jawaban terverifikasi

<p>1. 4x<sup>2</sup> - 11x - 20 = 0</p><p>&nbsp; &nbsp; 4x<sup>2</sup> - 16x &nbsp;+ 5x - 20 = 0</p><p>&nbsp; &nbsp;4x(x - 4) + 5(x - 4) = 0</p><p>&nbsp; &nbsp;(4x + 5)(x - 4) = 0</p><p>&nbsp;<strong> &nbsp;x<sub>1</sub> = -5/4 atau x<sub>2</sub> = 4</strong></p><p>&nbsp;</p><p>2. ½x - 2 &gt; 4 + 4⁄5x &nbsp; (kedua ruas dikalikan 10)</p><p>&nbsp; &nbsp; &nbsp;5x - 20 &gt; 40 + 8x</p><p>&nbsp; &nbsp; &nbsp;5x - 8x &gt; 40 + 20</p><p>&nbsp; &nbsp; &nbsp;-3x &gt; 60</p><p>&nbsp; &nbsp; &nbsp;x &lt; -60/3</p><p>&nbsp; &nbsp; &nbsp;<strong>x &lt; -20</strong></p><p>&nbsp; &nbsp; &nbsp;x = { ....., -23, -22, -21}</p><p>&nbsp;</p><p>3. f(x)= 3x+9</p><p>&nbsp; &nbsp; &nbsp;f(-2) = a&nbsp;</p><p>&nbsp; &nbsp; &nbsp;3(-2) + 9 = a&nbsp;</p><p>&nbsp; &nbsp; &nbsp;-6 + 9 = a</p><p>&nbsp; &nbsp; &nbsp;a = 3</p><p>&nbsp;</p><p>&nbsp; &nbsp; &nbsp;f(b) = -6</p><p>&nbsp; &nbsp; &nbsp;3b + 9 = -6</p><p>&nbsp; &nbsp; &nbsp;3b = -6 - 9</p><p>&nbsp; &nbsp; &nbsp;3b = -15</p><p>&nbsp; &nbsp; &nbsp;b = -15/3</p><p>&nbsp; &nbsp; &nbsp;b = -5</p><p>&nbsp;&nbsp;</p><p>&nbsp; &nbsp; &nbsp;Nilai a + b = 3 + (-5) = -2</p><p>&nbsp; &nbsp; &nbsp;Jadi nilai a + b adalah <strong>-2</strong></p>

1. 4x2 - 11x - 20 = 0

    4x2 - 16x  + 5x - 20 = 0

   4x(x - 4) + 5(x - 4) = 0

   (4x + 5)(x - 4) = 0

   x1 = -5/4 atau x2 = 4

 

2. ½x - 2 > 4 + 4⁄5x   (kedua ruas dikalikan 10)

     5x - 20 > 40 + 8x

     5x - 8x > 40 + 20

     -3x > 60

     x < -60/3

     x < -20

     x = { ....., -23, -22, -21}

 

3. f(x)= 3x+9

     f(-2) = a 

     3(-2) + 9 = a 

     -6 + 9 = a

     a = 3

 

     f(b) = -6

     3b + 9 = -6

     3b = -6 - 9

     3b = -15

     b = -15/3

     b = -5

  

     Nilai a + b = 3 + (-5) = -2

     Jadi nilai a + b adalah -2


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