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vampirchik [111]
2 years ago
14

%5C%3A%20value%20%5C%3A%20of%20%5C%3A%20base%20%5C%3A%20x" id="TexFormula1" title=" 543_{x} = 244_{x} + 255_{x} \: find \: the \: value \: of \: base \: x" alt=" 543_{x} = 244_{x} + 255_{x} \: find \: the \: value \: of \: base \: x" align="absmiddle" class="latex-formula">
find the value of base x​
Mathematics
1 answer:
Westkost [7]2 years ago
8 0

Will u be my frndd........??

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graph A

no x-intercept

no y-intercept

H.A is y = 5

V. A. is x = 0

*****************************************

Answer: \frac{150}{31}

<u>Step by step explanation:</u>

log₆(5x + 6) - log₆(x - 4) = 2

log₆(\frac{5x+6}{x-4}) = 2

(\frac{5x+6}{x-4}) = 6²

(\frac{5x+6}{x-4}) = 36

5x + 6 = 36(x - 4)

5x + 6 = 36x - 144

       6 = 31x - 144

    150 = 31x

     \frac{150}{31} = x

**********************************************************

Answers:

  • a. (-1, -5)
  • b. up
  • c. x = -1
  • d. \frac{-2+\sqrt{15}}{3} and\frac{-2-\sqrt{15}}{3}
  • e. -2
  • f. see attachment
  • g. domain (-∞, ∞)  range [-5, ∞)

<u>Explanation:</u>

f(x) = 3x² + 6x - 2

      a=3  b=6 c=-2

x = \frac{-b}{2a} =\frac{-6}{2(3)} = \frac{-6}{6} = -1

Axis Of Symmetry: x = -1

f(-1) = 3(-1)² + 6(-1) - 2

       = 3 - 6 - 2

       = -5

Vertex: (-1, -5)

x = \frac{-b+/-\sqrt{b^{2}-4ac}}{2a}

  = \frac{-6+/-\sqrt{6^{2}-4(3)(-2)}}{2(3)}

  = \frac{-6+/-\sqrt{36+24}}{6}

  = \frac{-6+/-\sqrt{60}}{6}

  = \frac{-6+/-2\sqrt{15}}{6}

  = \frac{-2+/-\sqrt{15}}{3}

x-intercepts: \frac{-2+/-\sqrt{15}}{3}



6 0
2 years ago
John needs to cut three strips of wood, 25.5 cm, 15.3 cm, and 9.25 cm long. He has a strip that is 72 cm long. How long will the
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25.5 + 15.3 = 40.8

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John will need to cut a total of 50.05cm of wood.

Subtract this total from the strip John has:

72 - 50.05 = 22 - .05 = \boxed{21.95}

The leftover piece will be 21.95cm long.

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Sum of those 6 angles is 745 degrees
7th angle should make it equal 900
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