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kompoz [17]
3 years ago
6

Evaluate log3 1 over 81 27 4 −27 −4

Mathematics
1 answer:
OLEGan [10]3 years ago
5 0
 <span> log3 1/81=x </span>
<span>Then 3^x = 1/81 </span>
<span>3^4 = 81 </span>
<span>we want 1/81 </span>
<span>3^-4 = 1/3^4 </span>
<span>x=-4
hope this helps</span>
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Factorize<br> ху<br> + 3x +3y<br> + 18
noname [10]

Answer:

(x+6)(y+3)

Step-by-step explanation:

  1. xy + 3x + 6y + 18
  2. x(y + 3) + 6(y+3)
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3 0
2 years ago
D(x)=(x^2-12x+20)/(3x)
krok68 [10]

Answers:

Vertical asymptote: x = 0

Horizontal asymptote: None

Slant asymptote: (1/3)x - 4

<u>Explanation:</u>

d(x) = \frac{x^{2}-12x+20}{3x}

      = \frac{(x-2)(x - 10)}{3x}

Discontinuities: (terms that cancel out from numerator and denominator):

Nothing cancels so there are NO discontinuities.

Vertical asymptote (denominator cannot equal zero):

3x ≠ 0  

<u>÷3</u>   <u>÷3 </u>

x ≠ 0

So asymptote is to be drawn at x = 0

Horizontal asymptote (evaluate degree of numerator and denominator):

degree of numerator (2) > degree of denominator (1)

so there is NO horizontal asymptote but slant (oblique) must be calculated.

Slant (Oblique) Asymptote (divide numerator by denominator):

  •        <u>(1/3)x - 4    </u>
  •    3x)    x² - 12x + 20
  •             <u>x²        </u>
  •                  -12x
  •                  <u>-12x         </u>
  •                             20 (stop! because there is no "x")

So, slant asymptote is to be drawn at (1/3)x - 4



6 0
3 years ago
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P(7) = \frac{1}{8}

There are 8 possible outcomes from the spinner and only one 7, hence

P(7) = \frac{1}{8}


4 0
3 years ago
Read 2 more answers
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BigorU [14]
Answer:
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Explanation:
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