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3 years ago

En una sala de teatro havian 7 filas 23 sillas cada una acaban de quitar 8 de las sillas ¿cuantas sillas quedan?

Mathematics

1 answer:

LenaWriter [7]3 years ago

6 0

Answer:

Quedan 153 sillas

Step-by-step explanation:

Primero sabemos que en una sala de teatro tenían 7 filas, y en cada una de esas filas habían 23 sillas.

Entonces, originalmente, el número total de sillas es 7 veces 23:

S = 7*23 = 161

Luego sabemos que quitan 8 de esas sillas, entonces el número de sillas que quedan es la diferencia entre el número original de sillas, 161, y 8, que nos da:

S = 161 - 8 = 153

Quedan 153 sillas

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3 years ago

Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

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Correct answer:

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Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

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$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

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Correct answer:

A. I and II

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