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serg [7]
3 years ago
12

The function f(x)= -1/4(x) +1 is getting closer to a particular number. Its initial values are 4 and -2, what happens to the val

ues of the function's after 10 iterations. What number are the function's values getting closer to each time?
Mathematics
1 answer:
Basile [38]3 years ago
6 0

Answer:

After 10 iterations, the value is approximately the value it gets closer each time, which is 0.8 (or 4/5)

Step-by-step explanation:

If the inicial value is 4, we have:

1: f(4) = -1/4(4) + 1 = 0

2: f(0) = -1/4(0) + 1 = 1

3: f(1) = -1/4(1) + 1 = 3/4

4: f(3/4) = -1/4(3/4) + 1 = 13/16

5: f(13/16) = -1/4(13/16) + 1 = 51/64

6: f(51/64) = -1/4(51/64) + 1 = 205/256

7: f(205/256) = -1/4(205/256) + 1 = 819/1024

8: f(819/1024) = -1/4(819/1024) + 1 = 3277/4096

9: f(3277/4096) = -1/4(4) + 1 = 13107/16384

10: f(13107/16384) = -1/4(13107/16384) + 1 = 52429/65536 = 0.8

If the inicial value is -2, we have:

1: f(-2) = -1/4(-2) + 1 = 3/2

2: f(3/2) = -1/4(3/2) + 1 = 5/8

3: f(5/8) = -1/4(5/8) + 1 = 27/32

4: f(27/32) = -1/4(27/32) + 1 = 101/128

5: f(101/128) = -1/4(101/128) + 1 = 411/512

6: f(411/512) = -1/4(411/512) + 1 = 1637/2048

7: f(1637/2048) = -1/4(1637/2048) + 1 = 6555/8192

8: f(6555/8192) = -1/4(6555/8192) + 1 =  26213/32768

9: f(26213/32768) = -1/4(26213/32768) + 1 = 104859/131072

10: f(104859/131072) = -1/4(104859/131072) + 1 = 419429/524288 = 0.8

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Law Incorporation [45]

Answer:

Option 4 is the correct option.

Step-by-step explanation:

We need to solve the expression 2x(x+2)(x-3)

Multiplying the terms with each other we get,

2x(x+2)(x-3)\\=2x(x^2 -3x+2x-6)\\=2x(x^2 -x -6)\\=2x^3 -2x^2 -12x

Option 4 is the correct option.

3 0
3 years ago
St. Mary's Church is holding a raffle in which 1172 tickets have been sold at a cost of $2.00 each. Three prizes will be awarded
aleksandrvk [35]

Answer:

Step-by-step explanation:

Given that St. Mary's Church is holding a raffle in which 1172 tickets have been sold at a cost of $2.00 each.

Three prizes will be awarded: 1 for S500;1 for $250; 1 for $125.

Thus total number of tickets = 1172

Of these prize winning are 3

i.e. Tickets        Prize $     Net win amount            Prob       Net win amt*prob

         1                 500                (500-2) =448          1/1172           448/1172

         1                250                 (250-2) =248          1/1172           248/1172

          1               125                   (125-2) =123            1/1172          123/1172

       1169               0                    (0-2) =    -2             1169/1172    -2338/1172

Expected value = Total                                                                 -1519/1172

=-1.296

4 0
2 years ago
Each of the five school buses can hold 43 pupils.
MAVERICK [17]
43x5= 215
215 pupils
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7 0
2 years ago
Read 2 more answers
f(x)=4 hallar el dominio, codominio, ceros o raices, vertices, asintotas, tabla de valores, graficas, identificar el tipo de fun
nekit [7.7K]

Answer:

Tipo de función: Función Constante o Función Polinómica de Orden Cero

Dominio: Dom \{f(x)\} = \mathbb{R}

Codominio: Ran \{f(x)\} = 4

Asíntota: y = 4

Raíces: No tiene.

Vértices: No tiene.

La tabla de valores y el gráfico se encuentran adjuntos al fondo.

Step-by-step explanation:

Sea f(x) = 4, el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son Dom \{f(x)\} = \mathbb{R} y Ran \{f(x)\} = 4. No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función (y = 4) y carece de raíces al ser f(x) \ne 0 para todo x\in \mathbb{R}.

Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:

x         -2         -1         0         1          2

y         4          4         4         4         4

5 0
3 years ago
Could someone answer this and explain an easier way to do this?
goblinko [34]

Answer:

Area of the figure = 109 cm. square

Step-by-step explanation:

The radius of the semi circle is 12 ÷ 2 = 6 cm.

Area of the semi circle = \frac{1}{2}\pi(6^{2})=18\pi

The radius of the quarter circle is 6 cm.

Area of the quarter circle = \frac{1}{4}\pi(6^{2}=9\pi

The area of the rectangle = 12 × 2 = 24

The area of the figure = 18π + 9π + 24 = 108.78 ≅ 109 cm. square

3 0
2 years ago
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