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3 years ago

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AYLIN AHORRO 200 MAS SU HERMANO Y RECIBIERON CADA UNO 2400 DE BECA CON SUS AHORROS Y SUS BECAS LES ALCANZA JUSTO PARA COMPRAR EL

PIANO QUE TANTO ANHELAN Y LES CUESTA 13000 CUANTO AHORRO AYLIN Y CUANTO AHORRO SU HERMANO

2 answers:

stich3 [128]3 years ago

6 0

What’s the language is this

umka21 [38]3 years ago

3 0

hey compa que royo no me la se me das brainliest

Step-by-step explanation:

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Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator

SpyIntel [72]

$\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}$
$\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)$

When $x=3$ , you're left with

$147=49a_1\implies a_1=\dfrac{147}{49}=3$

When $x=\sqrt2$ or $x=-\sqrt2$ , you're left with

$\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}$

Adding the two equations together gives $-10=2a_5$ , or $a_5=-5$ . Subtracting them gives $2\sqrt2=2\sqrt2a_4$ , $a_4=1$ .

Now, you have

$5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)$
$5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)$
$2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)$

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that $a_2x^4=2x^4$ and $a_3(-3)(-2)=6a_3=-6$ . These alone tell you that you must have $a_2=2$ and $a_3=-1$ .

So the partial fraction decomposition is

$\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}$

7 0

3 years ago

18. A I-10 number cube is rolled. What is the conditional probability that the number rolled is less than 6, given that the numb

Romashka-Z-Leto [24]

Answer:

30% Probability

Step-by-step explanation: 3/10=0.3

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3 years ago

Write 6.92 x 10 (-8 exponent) in standard notation.. A. 0.00000692 . B. 0.000000692 . C. 0.0000000069 . D. 0.0000000692

Fofino [41]

OPTION D IS YOUR ANSWER.......

7 0

3 years ago

Hi<br> The greatest glory in living lies not in never falling, but in rising every time we fall

mash [69]

Answer:

Agreed

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

How would i do this problem and show my work x+9= -12

boyakko [2]

To solve this problem just do the following,
x+9=-12
-9 -9
x=-21
Check
-21+9=-12 = True

Hope this helps!=)

5 0

3 years ago

Read 2 more answers