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3 years ago

Let S(x) = (2x + 1)^3 and let g be the inverse function of f. Given that f(0) = 1, what is the value of gʻ(1) ?

Advanced Placement (AP)

1 answer:

aksik [14]3 years ago

3 0

Answer:

$g(1) = 0$

Explanation:

Given

$f(x) = (2x + 1)^3$

$f(0) = 1$

Required

Find g(1)

If f(x) and g(x) are inverse functions, then:

$f(x) = y$

implies that:

$g(y) = x$

Using the analysis above:

$f(0) = 1$ implies that:

$g(1) = 0$

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3 years ago

1) Calcula la diagonales de un poligono n lados. Heptágono: 2 puntos

ahrayia [7]

Answer:

El número de diagonales de un polígono de n lados se calcula mediante la siguiente fórmula:

$d = \frac{n\cdot (n-3)}{2}$ (1)

Donde:

$d$ - Cantidad de diagonales del polígono.

$n$ - Cantidad de lados del polígono.

Bajo esta fórmula, tenemos los siguientes resultados:

a) El heptágono tiene 14 diagonales.

b) El octágono tiene 20 diagonales.

c) El eneágono tiene 27 diagonales.

d) El decágono tiene 35 diagonales.

e) El pentadecágono tiene 90 diagonales.

Explanation:

La cantidad de diagonales de un polígono se puede determinar mediante la siguiente ecuación:

$d = \frac{n\cdot (n-3)}{2}$ (1)

Donde:

$d$ - Cantidad de diagonales del polígono.

$n$ - Cantidad de lados del polígono.

A continuación, calculamos la cantidad de diagonales de los siguientes polígonos:

Heptágono ( $n = 7$ )

$d = \frac{7\cdot (7-3)}{2}$

$d = 14$

El heptágono tiene 14 diagonales.

Octágono ( $n = 8$ )

$d = \frac{8\cdot (8-3)}{2}$

$d = 20$

El octágono tiene 20 diagonales.

Eneágono ( $n = 9$ )

$d = \frac{9\cdot (9-3)}{2}$

$d = 27$

El eneágono tiene 27 diagonales.

Decágono ( $n = 10$ )

$d = \frac{10\cdot (10-3)}{2}$

$d = 35$

El decágono tiene 35 diagonales.

Pentadecágono ( $n = 15$ )

$d = \frac{15\cdot (15-3)}{2}$

$d = 90$

El pentadecágono tiene 90 diagonales.

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3 years ago

Annotate the selected reading from Narrative of the Life of Frederick Douglass chapter 6. Write a short journal response discuss

Vilka [71]

Answer and Explanation:

Notes: Slavery allows it to be so harmful that it changes even the most kind people, making them mean. Education empowers the oppressed. Education is a powerful weapon for blacks. Deprivation can be used as an incentive. Nobody liked to be called an oppressor, even though it was.

I decided to take notes on the most important themes exposed by Douglass. These themes were discovered by reading chapter 6 and by interpreting why Douglass decided to include these moments of his life in his narrative.

The first theme that I noticed is that slavery was widespread and prejudicial to everyone, even for the arms. Slavery placed cruelty in the hearts of white people and made them lose their kindness and kindness by becoming cruel and unworthy. I also noticed that white people were very afraid to allow blacks to have access to education. This is because education allowed the critical thinking that would give blacks the power to fight against the system that oppressed them.

Douglass was deprived of studying, but this deprivation motivated him to strive and receive an education that would make big differences in his life. Last but not least, we can see that the whites knew that the violence of slavery was incorrect, since they did not want them to know that they were extremely violent and oppressive to the slaves they owned.

The author uses several rhetorical strategies that range from personal statements, which increase our empathy for him, to logical and correct statements that show us how that whole slave system worked and how it was manipulated to last. This all causes an extension of what we know about slavery.

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3 years ago