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3 years ago

Find the domain of the function x/square root of 2x+8

1 answer:

8 0

We can start with "All real number," then we eliminate certain value what would cause zero in denominator;

Here, we have denominator of √(2x+8)

We need to exclude value of x from real number such that √(2x+8) = 0 So solve for x here;

√(2x+8) = 0
[√(2x+8) ]² = 0²
2x+8 = 0
2x = -8
x = -4

So we cannot have x to be -4, otherwise denominator would be zero.

So exclude -4 from "All real number"

Now we have domain of (-∞, -4) U (-4, ∞) or All real number; x ≠ -4.

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Tenemos 2000 baldosascon las que nos proponrmos embaldosar dos habitaciones.Para la 1ª gastamos 3/5 de ellas,y con la 2ª,3/4de l

Setler79 [48]

Answer:

En la primera habitación son usadas 1200 baldosas.

En la segunda habitación son usadas 600 baldosas.

Sobraron 200 baldosas.

Step-by-step explanation:

Tienes 2000 baldosas, con las que se propone embaldosar dos habitaciones.

Para la primera habitación se han gastado $\frac{3}{5}$ de las baldosas. Esto se expresa como:

$\frac{3}{5}*2000$

Para multiplicar una fracción por un número entero, el número entero n se puede escribir como la fracción $\frac{n}{1}$ . Luego se multiplica los numeradores y denominadores. En este caso:

$\frac{3}{5}*2000=\frac{3}{5}*\frac{2000}{1} =\frac{3*2000}{5*1} = \frac{6000}{5}$

Para reducir la fraccion, divide 40 entre 10

$\frac{6000}{5} =$ 6000 ÷5= 1200

Entonces en la primera habitación son usadas 1200 baldosas. Por lo que las que quedan se calcula como:

2000 - 1200= 800 baldosas

De esta cantidad de baldosas que quedaron, $\frac{3}{4}$ son usadas para embaldosar la segunda habitación. Esto se expresa como:

$\frac{3}{4}*800$

Resolviendo de igual manera que en el caso de la primer habitación se obtiene:

$\frac{3}{4}*800=\frac{3}{4}*\frac{800}{1} =\frac{3*800}{4*1} =\frac{2400}{4}$ = 2400 ÷ 4= 600

Entonces en la segunda habitación son usadas 600 baldosas. Por lo que, teniendo en cuenta que se tenían 800 baldosas que quedaron de la primera habitación, las baldosas restantes se calculan como:

800 - 600= 200 baldosas

Sobraron 200 baldosas.

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3 years ago

If a = 4 and b = 7 what is A - B

OLga [1]

Answer:

-3

Explanation:
4-7

7 0

3 years ago

Read 2 more answers

The infant mortality rate is deﬁned as the number of infant deaths per 1,000 live births. This rate is often used as an indicato

Basile [38]

(a)

Q1, the first quartile, 25th percentile, is greater than or equal to 1/4 of the points. It's in the first bar so we can estimate Q1=5. In reality the bar includes values from 0 to 9 or 10 (not clear which) and has around 37% of the points so we might estimate Q1 a bit higher as it's 2/3 of the points, say Q1=7.

The median is bigger than half the points. First bar is 37%, next is 22%, so its about halfway in the second bar, median=15

Third bar is 11%, so 70% so far. Four bar is 5%, so we're at the right end of the fourth bar for Q3, the third quartile, 75th percentile, say Q3=40

When the data is heavily skewed left like it is here, the median tends to be lower than the mean. The 5% of the data from 80 to 120 averages around 100 so adds 5 to the mean, and 8% of the data from the 60 to 80 adds another 5.6, 15% of the data from 40 to 60 adds about 7.5, plus the rest, so the mean is gonna be way bigger than the median of around 15.

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3 years ago

The constraint for the potential plant site 2 can be written as:

sdas [7]

Answer:

c. x21 + x22 + x23 less or equal than 2800 y2

Step-by-step explanation:

The plant has a maximum capacity of 2800 then the sum of all these operations must be equal to or less than 2800. The site of the plant has capacity constraint which needs to be determine through equation. The total capacity for the plant 2 is only 2800 the operation has to be distributed with keeping in mind the capacity limit.

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3 years ago

Find the answer to SHOW YOUR WORK! (pls help with dis) -2x – 6 = -6x – 2

Licemer1 [7]

The answer is x=1. I showed my work in the screenshot provided

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4 years ago

Read 2 more answers