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lawyer [7]
3 years ago
14

Factor completely 81x^2-27x-18

Mathematics
1 answer:
Musya8 [376]3 years ago
4 0
Find the greatest common factor which is 9 
9(9x^2-3x-2) and then factor the equation in the parenthesis 
so the factored equation will be  9(3x+1)(3x-2)
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The first five terms of a pattern are shown.
Andrej [43]

Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive term in the sequence, that is

\frac{3}{10} ÷ \frac{3}{100} = 3 ÷ \frac{3}{10} = 30 ÷ 3 = 300 ÷ 30 = 10

This indicates the sequence is geometric with n th term

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = \frac{3}{100} and r = 10 , thus

a_{n} = \frac{3}{100} (10)^{n-1}

    = \frac{3}{10^{2} } × 10^{n-1}

    = 3 × 10^{-2} × 10^{n-1}

    = 3 × 10^{n-3}

Thus

a_{n} = 3(10)^{n-3} → C

6 0
3 years ago
Which expression is equivalent to the following complex fraction?
marta [7]

Answer:

  \dfrac{-4x+7}{2(x-2)}

Step-by-step explanation:

The first step is to combine the parts of the numerator and denominator into one rational expression each. Those will have the same denominator, so their ratio is the ratio of their numerators.

  \dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}=\dfrac{3-4(x-1)}{2(x-1)-2}\\\\=\dfrac{3-4x+4}{2x-2-2}=\boxed{\dfrac{-4x+7}{2(x-2)}}

5 0
3 years ago
Read 2 more answers
Three men are trying to hold a ferocious lion still for the veterinarian. The lion, in the center,is wearing a collar with three
Andre45 [30]
The answer 
<span>the third rope to counterbalance Sam and Charlie is F
and vectF +vectF1 +vectF2 =vect0
let's consider axis
y'y  </span>vectF = -F
      vectF 1= F1cos60
      vectF 2= F2cos45
-F = -F1cos60-F2co45
so F= F1cos60+F2co45= 350x0.5+400x0.7=457.84 pounds
4 0
3 years ago
Pre-Calculus question:
zhuklara [117]
You already have figured the main idea. In this case, the population is growing 1.9% a year. This word can be translated into: multiplied by 101.9% (100+1.9%). That means the P0 is 6 bill, the base is 101.9%(or 1.019) and the time is 50 years. The calculation would be:
<span>P(t)=P₀a^t
</span>P(t)=6 billion * 101.9%^50= 6 billion * <span>2.56276= 15.38 billion</span><span>

</span>
5 0
3 years ago
Is 3.2128 rational or irrational​
cricket20 [7]
3.2128 is a rational number
6 0
3 years ago
Read 2 more answers
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