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creativ13 [48]
3 years ago
9

What is the factorization of 729^15+1000​

Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0

\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) \\\\ a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} 729=27^2\\ \qquad (3^3)^2\\ 1000=10^3 \end{cases}\implies 729^{15}+1000\implies ((3^3)^2)^{15}+10^3 \\\\\\ ((3^2)^{15})^3+10^3\implies (3^{30})^3+10^3\implies (3^{30}+10)~~[(3^{30})^2-(3^{30})(10)+10^2] \\\\\\ (3^{30})^3+10^3\implies (3^{30}+10)~~~~[(3^{60})-(3^{30})(10)+10^2]

now, we could expand them, but there's no need, since it's just factoring.

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Case 4 – House Price. A small data set contains information on House Price (Y) in dollars, as well as predictors: number of Cars
yKpoI14uk [10]

Answer

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

7 0
3 years ago
Ayudaaaaaaa es para hoy:
kupik [55]

El precio <em>resultante</em> con descuento de 12 % es igual a 342.32 pesos.

<h3>¿Cómo hallar el precio resultante con descuento?</h3>

En este problema tenemos que determinar el precio <em>resultante</em>, el cual es igual al precio <em>inicial</em> menos el descuento. A continuación, se presenta la siguiente expresión:

x = 389 · (1 - 12/100)

x = 389 - 46.68

x = 342.32

El precio <em>resultante</em> con descuento de 12 % es igual a 342.32 pesos.

Para aprender más sobre descuentos: brainly.com/question/24130820

#SPJ1

7 0
2 years ago
A particular library has 58 visitors. When the visitors were asked how many books they read that year, 20 said they read one boo
irina1246 [14]

Answer:

16/58 = 8/29

Step-by-step explanation:

p = number of required outcome/number of total out come

p = 16/58 ie number of people that read five book divided by total number of people

7 0
2 years ago
*Need help asap*
aleksandr82 [10.1K]

One example would be x to the power of 1/3

which we would write as x^(1/3) for shorthand

It converts to "cube root of x".

----------------

The general rule is

x^{1/n} = \sqrt[n]{x}

if the font is too small, then the formula reads x^(1/n) is equal to square root x, with a small little n just above and to the left of the square root. This is known as the nth root of x.

Based on that general formula, we can say something like

x^{1/4} = \sqrt[4]{x}

(x to the 1/4th power is equal to fourth root of x)

note: you can replace x with any algebraic expression you want

7 0
3 years ago
What is the greatest common factor of 46a and 50a^2
egoroff_w [7]

2 it is 2 I hope it is right



4 0
3 years ago
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