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3 years ago

What is the vertical asymptote for the reciprocal of y=8x-4

Mathematics

1 answer:

rjkz [21]3 years ago

6 0

Answer:

The vertical asymptote for the reciprocal of y=8x-4 is $\frac{1}{2}$

Step-by-step explanation:

Given Equation : $y = 8x-4$

Reciprocal of given equation = $\frac{1}{y}=\frac{1}{8x-4}$

Now to find the vertical asymptote

$\frac{1}{y}=\frac{1}{8x-4}$

Equate denominator to 0

8x-4=0

8x=4

$x=\frac{4}{8}$

$x=\frac{1}{2}$

So, The vertical asymptote is $\frac{1}{2}$

Hence the vertical asymptote for the reciprocal of y=8x-4 is $\frac{1}{2}$

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−30=5(x+1)minus, 30, equals, 5, left parenthesis, x, plus, 1, right parenthesis x =x=x, equals

ivann1987 [24]

Answer:

x = -7

Step-by-step explanation:

−30=5(x+1)

Divide each side by 5

-30/5=5/5(x+1)

-6 =x+1

Subtract 1 from each side

-6-1 = x+1-1

-7 =x

8 0

4 years ago

Find the volume of the smaller cone using the ratio of the volumes

anzhelika [568]

Given:
volume of larger cone : 8000 m³
radius of larger cone: 5 m
radius of smaller cone: 2 m
volume of smaller cone: ?

Find the volume of the smaller cone using the ratio of the volumes.
a / b = c / d where ad = bc

5m / 8000 m³ = 2 m / x
5m * x = 8000 m³ * 2m
5m * x = 16000 m⁴
x = 16000 m⁴ / 5m
x = 3200 m³

8 0

3 years ago

. El Pirata Barba Plata ha legado a la isla del Coral para buscar un tesoro. En el mapa pone que, desde la orila, debe recorer 3

zhuklara [117]

Answer:

Entonces, el Pirata Barba Plata recorrerá en total 455 m o 0.455 km desde la orilla hasta el tesoro.

Step-by-step explanation:

En primer lugar es conveniente expresar las unidades en metros, ya que se requiere que la distancia total recorrida se encuentre expresada en metros. Para eso debes realizar una conversion de unidades, teniendo en cuenta que 1 hm equivale a 100 m y 1 dam es igual a 10 m.

Entonces podes aplicar las siguientes reglas de tres:

Si 1 hm equivale a 100 m, 3,7 hm a cuántos m equivalen?

$m=\frac{3,7 hm*100m}{1 hm}$

m= 370

Entonces 3,7 hm es igual a 370 m

Si 1 dam equivale a 10 m, 8,5 dam a cuántos m equivalen?

$m=\frac{8,5dam*10m}{1 dam}$

m= 85

Entonces 8,5 dam es igual a 85 m.

Para conocer la distancia que se recorrerá en total desde la orilla hasta el tesoro debes sumar la distancia que se recorre desde la orilla hacia el centro de la isla y la distancia que se recorre dando volteretas en la misma dirección. Esto es:

370 m + 85 m= 455 m

Por último, se aplica la siguiente regla de tres:

Si 1 m equivale a 0.001 m, 455 m a cuántos km equivalen?

$km=\frac{455 m*0,001 km}{1 m}$

km= 0.455

Entonces, el Pirata Barba Plata recorrerá en total 455 m o 0.455 km desde la orilla hasta el tesoro.

6 0

3 years ago

ACT math scores for a particular year are approximately normally distributed with a mean of 28 and a standard deviation of 2.4.

Murrr4er [49]

Answer:

$a. \ \ \ P(X>30.4)=0.1587\\\\b. \ \ \ P(X$

Step-by-step explanation:

a. Given that the mean is 28 and the standard deviation is 2.4.

Let X be the score of our random selection.

-The z-score is calculated using the formula:

$z=\frac{\bar X-\mu}{\sigma}$

-The probability that the score is greater than 30.4 is calculated as:

$P(X>30.4)=P(z$

$P(X>)=P(z>\frac{\bar X-\mu}{\sigma})\\\\z=\frac{30.4-28}{2.4}=1.0\\\\\therefore P(z>1)=1-0.84134\\\\=0.1587$

Hence, the probability of a random score being greater than 30.4 is 0.1587

b. The probability that a randomly selected score is less than 32.8:

Mean=28, sd=2.4 and X=32.8

$P(X$

Hence, the probability that a random selection has a score less than 32.8 is 0.9773

c. The probability that a randomly selected score is between 25.6 and 32.8:

mean=28, sd=2.4 X=25.6, 32.8

$P(25.6$

Hence, the probability of the score being between 25.6 and 32.8 is 0.8186

3 0

3 years ago

What is the measure of cae

Dimas [21]

Quick answer B

Argument
The formula for the angle between 2 secants is
$\frac{1}{2} (\overset{\LARGE{\frown}}{CE} - \overset{\LARGE{\frown}}{DB})$

Givens

$\overset{\LARGE{\frown}}{CE} = 135 \\ \\ \overset{\LARGE{\frown}}{DB} = 55$

1/2 (135 - 55) = 1/2 * 80 = 40

Answer B

3 0

3 years ago

Read 2 more answers