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blsea [12.9K]
3 years ago
9

2B%209%20%7D%20" id="TexFormula1" title=" \frac{8x { }^{3} - 27}{4x {}^{2} + 6x + 9 } " alt=" \frac{8x { }^{3} - 27}{4x {}^{2} + 6x + 9 } " align="absmiddle" class="latex-formula">
I need help dividing these polynomials ​
Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0

Answer:

Step-by-step explanation:

=8x(cube)- 27 ÷ 4x(square) + 6x + 9

= 2x (3-2) + 6x - 3

= 2x + 6x - 3

= 6x(square) -3

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Find the shaded region of the figure below​
lilavasa [31]

Answer:

-x³ + 3x² - 14x + 12

Step-by-step explanation:

Area of outer rectangle = (x² + 3x - 4) * (2x - 3)

      = (x² + 3x - 4) * 2x  + (x² + 3x - 4) * (-3)

     =x²*2x + 3x *2x - 4*2x  + x² *(-3) + 3x *(-3)  - 4*(-3)

     =2x³ + 6x² - 8x - 3x² - 9x + 12

    = 2x³ + <u>6x² - 3x²</u>   <u>- 8x - 9x</u> + 12     {Combine like terms}

    = 2x³ + 3x² - 17x + 12

Area of inner rectangle = (x² - 1)* 3x

                                       = x² *3x - 1*3x

                                       = 3x³ - 3x

Area of shaded region = area of outer rectangle - area of inner rectangle

         = 2x³ + 3x² - 17x + 12 - (3x³ - 3x)

         = 2x³ + 3x² - 17x + 12 -3x³ + 3x

        = 2x³ - 3x³ + 3x² - 17x + 3x + 12

        = -x³ + 3x² - 14x + 12

4 0
3 years ago
The probability that a house in an urban area will develop a leak is 55​%. if 2020 houses are randomly​ selected, what is the pr
k0ka [10]
<span>The probability that a house in an urban area will develop a leak is 55​%. if 20 houses are randomly​ selected, what is the probability that none of the houses will develop a​ leak? round to the nearest thousandth.

Use binomial distribution, since probability of developing a leak,  p=0.55 is assumed constant, and
n=20, x=0
and assuming leaks are developed independently between houses,
P(X=x)
=C(n,0)p^x* (1-p)^(n-x)
=C(20,0)0.55^0 * (0.45^20)
=1*1*0.45^20
=1.159*10^(-7)
=0.000

</span>
7 0
3 years ago
10. Which one of the following pairs of numbers contains like fractions?
tangare [24]

Answer:

i think its a 6/7 and 60/70

5 0
2 years ago
When this open-ended cylinder is opened out, it forms a rectangle with a width of 25 cm. What is the area of the rectangle?.​
nalin [4]

Answer:

Just want the points

Step-by-step explanation:

4 0
3 years ago
Please help I will mark Brainly
Illusion [34]

Answer:

its C


Step-by-step explanation:

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3 0
3 years ago
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