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Olenka [21]
3 years ago
7

Consultar sobre las propiedades de la potenciacion y la radicacion y para cada uno dar 2 ejemplos

Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0

Answer:

Potencia de una potencia

La potencia de una potencia de base a es igual a la potencia de base a elevada a la multiplicación de ambos exponentes -

Potencia de base 10

En las potencias con base 10, el resultado será la unidad seguida de tantos ceros como indica la cifra del exponente

radiacion

En matemáticas, la radicación es el proceso de hallar raíces de orden n de un número a.1​.  

De modo que se verifica que  

x n = a {\displaystyle x^{n}=a}  

, donde n es llamado índice u orden, a es llamado radicando, y x es una raíz enésima.2​3​  

La raíz de orden dos de  

a {\displaystyle a}  

, se llama raíz cuadrada de  

a {\displaystyle a}  

y se escribe como  

a {\displaystyle {\sqrt {a}}}  

o también  

a 2 . {\displaystyle {\sqrt[{2}]{a}}.}  

La raíz de orden tres de  

a {\displaystyle a}  

, se llama raíz cúbica de  

a {\displaystyle a}  

y se escribe como  

a 3 . {\displaystyle {\sqrt[{3}]{a}}.}  

Las raíces de órdenes superiores se nombran usando números ordinales, por ejemplo raíz cuarta o raíz séptima.

La radicación es la operación inversa a la potenciación. s:

Step-by-step explanation:

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Answer:

area = 277 units²

Step-by-step explanation:

area = (25 x 5) + (8 x 13) + (8 x 6) = 277 units²

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3 years ago
2-2x2-(39 divided by 1)+2+9
artcher [175]
-30 is the answer for your question
6 0
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Please help me with this one
Rasek [7]

Answer:

6 (2)^ = 6

6 (2)^2 = 24

a = 24

b = 6

y-intercept: (0,6)

y-intercept =

Step-by-step explanation:

6(2)^x

6 (2)^0 = 6 (a number ^0 = 1, 6 times 1 = 6)

6 (2)^2 = 6 x 4 = 24

8 0
3 years ago
Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x).
Neporo4naja [7]

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

  1. <u>Shifting</u>: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the <em><u>y-coordinate</u></em> is<em> </em>added or subtract and the x-coordinate is unchanged, there is a <em><u>vertical</u></em> <u><em>shift</em></u>. If it is the <em><u>x-coordinate</u></em> which changes and y-coordinate is kept the same, the shift is a <em><u>horizontal</u></em> <u><em>shift</em></u>;
  2. <u>Scaling</u>: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the <em>y-coordinate</em> is multiplied or divided by a constant but x-coordinate is the same, it is a <em>vertical scaling</em>. If the <em>x-coordinate</em> is changed by a constant and y-coordinate is not, it is a <em>horizontal</em> <em>scaling</em>;
  3. <u>Reflecting</u>: it's a special case of scaling, where you can multiply a coordinate per its opposite one;

Now, the points for f(x) are:

(-5,0)  (0,6)  (5,-4)  (8,0)

And the points for g(x) are:

(-5,-3)  (0,-9)   (5,1)   (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a <u>Vertical</u> <u>Shift</u>.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a <u>Reflection</u>.

<u>Range</u> <u>of</u> <u>a</u> <u>function</u> is all the values y can assume after substituting the x-values.

<u>Domain</u> <u>of</u> <u>a</u> <u>function</u> is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph            translation            domain      range

f(x)                       none                 [-5,8]          [-4,6]

g(x)                vertical shift           [-5,8]          [-9,1]

<u>In conclusion, this transformation (or translation) will affect the range of g(x)</u>

5 0
2 years ago
The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig.
faust18 [17]
Guinea pig (p) = 4 years old
Giraffe (g) = 10 years old
Tiger (t) = 16 years old

P = g-6
T = 4p

30 = g+g-6+(4(g-6))
30 = 2g-6+4g-24
30 = 6g-30
+30 +30
60 = 6g
6 6
10 = g

P = 10-6
P = 4

T = 4(4)
T = 16
8 0
3 years ago
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