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fiasKO [112]
3 years ago
11

Which of the following are factors of x^4 − 81? Select all that apply.

Mathematics
2 answers:
vova2212 [387]3 years ago
5 0

Answer:

The factors are

\text{A. } x^2 + 9

\text{D. } x + 3

Step-by-step explanation:

x^4- 81

(x^2)^2-9^2

Once x^2-y^2=\left(x+y\right)\left(x-y\right)

\left(x^2\right)^2-9^2 = \left(x^2+9\right)\left(x^2-9\right)

Now we can factor x^2-9 again using difference of two squares:

Therefore,

\left(x^2+9\right)\left(x+3\right)\left(x-3\right)

The factors are

\text{A. } x^2 + 9

\text{D. } x + 3

Mrrafil [7]3 years ago
3 0

Answer:

<em>A and D</em>

Step-by-step explanation:

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Cuál sería la respuesta a esto? La señora María obtuvo un préstamo de 5 millones otorgado por un banco, para devolver el préstam
Lubov Fominskaja [6]

Answer:

La señora María debe pagar 463.635 guaraníes por concepto de intereses,

Step-by-step explanation:

Se recomienda utilizar el modelo de interés compuesto puesto que la tasa de interés es constante y periódico, dado que se conoce el monto a pedir prestado, la tasa de interés y el número de anualidades, se obtiene el monto final. La cantidad de dinero a pagar es la diferencia entre ese resultado y el monto a ser prestado.

El modelo de interés compuesto es representado por la siguiente fórmula:

C(t) =C_{o}\cdot (1+r)^{t} (1)

Donde:

C_{o} - Cantidad de dinero a prestar, medida en guaraníes.

r - Razón de interés interanual, adimensional.

t - Anualidad, medida en años.

C(t) - Cantidad de dinero asociada a la anualidad actual, medida en guaraníes.

Si sabemos que C_{o} = 5.000.000, r = 0.03 y t = 3, entonces la cantidad de dinero asociada al término del período de préstamo es:

C(3) = 5.000.000\cdot (1+0.03)^{3}

C(3) = 5.463.635

Finalmente, la cantidad de dinero a pagar por concepto de intereses es:

\Delta C = 5.463.635-5.000.000

\Delta C = 463.635

La señora María debe pagar 463.635 guaraníes por concepto de intereses,

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3 years ago
How much will it cost to get 4 tires if the 4th one is free
GarryVolchara [31]
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Write a statement
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  C)  ΔDCE ≅ ΔDQR

Step-by-step explanation:

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  1 mark: angles D and D

  2 marks: angles C and Q

  3 marks: angles E and R

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Answer:

Triangle 1 : isosceles triangle

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Step-by-step explanation:

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3 years ago
Use complete sentences to describe the possible solution(s) to a system of equations that includes the equation of a circle and
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Answer:

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And general equation of circle is , ax²+by²+2 g x +2 f y +c=0

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3. A line may intersect a circle maximum at two points, that is 2 solution.

Image is depicted below.

3 0
3 years ago
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