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ddd [48]
2 years ago
14

PLEASE HELP!!!!!!!!!!!!!!

Mathematics
1 answer:
Lelechka [254]2 years ago
8 0

Answer:

Step-by-step explanation:

(8x²-18x+10)/(x²+5)(x-3)

express the expression as a partial fraction:

(8x²-18x+10)/[(x^2+5)(x-3)] =A/x-3 +bx+c/x²+5

both denominator are equal , so require only work with the nominator

(8x²-18x+10)=(x²+5)A+(x-3)(bx+c)

8x²-18x+10= x²A+5A+bx²+cx-3bx-3c

combine like terms:

x²(A+b)+x(-3b+c)+5A-3c

(8x²-18x+10)

looking at the equation

A+b=8

-3b+c=-18

5A-3c=10

solve for A,b and c (system of equation)

A=2 , B=6, and C=0

substitute in the value of A, b and c

(8x²-18x+10)/[(x^2+5)(x-3)] =A/x-3 +(bx+c)/x²+5

(8x²-18x+10)/[(x^2+5)(x-3)] = 2/x-3 + (6x+0)/(x²+5)

(8x²-18x+10)/[(x^2+5)(x-3)] =

<h2>2/(x-3)+6x/x²+5</h2>

(4x+2)/[(x²+4)(x-2)]

(4x+2)/[(x²+4)(x-2)]= A/(x-2) + bx+c/(x²-2)

(4x+2)=a(x²-2)+(bx+c)(x-2)

follow the same step in the previous answer:

the answer is :

<h2>(4x+2)/[(x²+4)(x-2)]= 5/4/(x-2) + (3/2 -5x/4)/(x²+4)</h2>

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Sharon wants to buy a shirt that costs $55. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt
Semmy [17]

easy

5% is .05 two decimals to the left

55 x .05 = 2.75

$2.75 is your sales tax

55+2.75=$57.75

8 0
3 years ago
What has she done wrong?
Strike441 [17]

Answer:

see explanation

Step-by-step explanation:

Her error is in squaring (2y)²

She has (2y)² = 2y²

when it should be 2y × 2y = 4y²

Then

(2y)² = 6² + 8²

4y² = 36 + 64

4y² = 100 ( divide both sides by 4 )

y² = 25 ( take square root of both sides )

y = \sqrt{25} = 5

8 0
2 years ago
Pleaseeeeeee helppppppp meeeeeeeeee
Bad White [126]
1. 256
2. 7^7
3. 46,629
4. 16,649
5. 5^4
7 0
3 years ago
Escribe la ecuación: Un balón de baloncesto cuesta 10€ menos que uno de fútbol. Si 10 balones de fútbol y 4 de baloncesto cuesta
emmainna [20.7K]

Responder:

14x - 40 = 310

Explicación paso a paso:

Dado que:

El baloncesto cuesta 10 € menos que un balón de fútbol

10 balones de fútbol y 4 de baloncesto cuestan 310 €

Para formar una ecuación:

Deje que el costo de:

Balón de fútbol = x

Costo del baloncesto = x - 10

Por lo tanto,

Costo de 10 balones de fútbol = 10 * x = 10x

Costo de 4 pelotas de baloncesto = 4 * (x - 10) = 4x - 40

Coste total :

Coste del balón de fútbol + coste del baloncesto = 310 €

10x + 4x - 40 = 310 €

14x - 40 = 310

14x = 310 + 40

14 veces = 350

x = 25 € = coste del balón de fútbol

Coste del baloncesto = 25 € - 10 € = 15 €

8 0
2 years ago
Can someone help me with this problem quickly?
kaheart [24]
I don’t know if I’m correct but:

120➗100=1.2

Which could mean that the x could be 1.2

(I’m not sure because I haven’t done this in a long time)
(Sorry if it’s wrong)
4 0
3 years ago
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