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seraphim [82]
2 years ago
9

Please answer these questions.(please include work/explanation)(1)

Mathematics
1 answer:
ohaa [14]2 years ago
3 0

Answer:

Hi there!

I will help you answering the questions, if you do not understand what I'm working about, you can ask me on comment section.

<h3>Number 1</h3>

First of all, we need to multiple the separated function.

\sf2(3x + 4)(x - 1)(x - 3) \\  = \sf(6x + 8)(x - 1)(x - 3) \\  \tt multiple \: the \: first \: equation \\  \tt(6x + 8) \: with \: (x - 1) \\  \sf = (6x \times  x + 6x \times  - 1 + 8 \times x + 8 \times  - 1)(x - 3)  \\  =   \sf({6x}^{2}  + 2x - 8)(x - 3) \\  \tt then \: multiple \: the \: last \: one \\  \tt (6 {x}^{2}  + 2x - 8)  \: with \: (x - 3) \\  \sf =  \boxed{ \bold{ \red{ {6x}^{3}  - 16x {}^{2}  - 14x + 24}}}

So the right answer is <u>A</u>

━━━━━━━━━━━━━━━━━

<h3>Number 2</h3>

the graph has four zeros at :

  • -4
  • -2/3
  • 0
  • 9

After that we make them equal with 0, here is the thing:

x = -a is equal with x + a = 0

So we can conclude that :

  • -4 → x + 4 = 0
  • -2/3 → 3x + 2 = 0
  • 0 → x = 0
  • 9 → x - 9 = 0

Then we substitute them to a function :

x(x + 4)(3x + 2)(x - 9) = 0

3x⁴ - 13x³ - 118x² - 72x = 0

Then we looking on the option which one is equal with the answer above.

The right answer is <u>B</u>

━━━━━━━━━━━━━━━━━

Hope It Helps!

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a. Probability of Event A = 2.724037476607E−24

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