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3 years ago

I need to find Domain and Range but how do I know when to use brackets or parentheses

Mathematics

1 answer:

german3 years ago

3 0

Answer:

Square brackets [ or ] are used when the end point is included.
Parentheses ( or ) are used when the end point is not included.

Step-by-step explanation:

The domain is the horizontal extent of the graph. Here, it is from -2 to +3, with -2 included in the domain and +3 not included.

As an inequality, the domain is written ...

-2 ≤ x < 3

In interval notation, we use a square bracket for the "or equal to" case:

[-2, 3)

The range is the vertical extent of the function. Here, the range extends from -4 (not included) to +5 (included).

As an inequality, the range is written ...

-4 < y ≤ 5

In interval notation, the range is written using a square bracket for the "or equal to" case:

(-4, 5]

_____

<em>Comment on infinity</em>

There is no such thing as "equal to infinity" so an infinite limit is always represented in interval notation using a parenthesis.

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A card is drawn at random from a standard deck of 52 cards. Find the following conditional probabilities. a) The card is a diam

Inga [223]

Answer:

$a.\frac{1}{13}\\b.\frac{1}{2}\\c.\frac{1}{13}\\d.\frac{1}{13}$

Step-by-step explanation:

P(A|B) = P(A and B) / P(B)

Total number of cards = 52

Let A denotes the event that the card is a diamond and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}\\=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

Let A denotes the event that the card is red and B denotes the card is diamond.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{4}{52}}\\=\frac{1}{2}$

Let A denotes the event that the card is nine and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

Let A denotes the event that the card is a king and B denotes the card is a face card.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{4}{52}}{\frac{12}{52}}\\=\frac{1}{13}$

7 0

2 years ago

Please help me !!!!!! I need help

kvv77 [185]

Answer:

y +8 = -4(x -8)

Step-by-step explanation:

You recognize that the given equation is in slope-intercept form:

y = mx + b

with m = 1/4 and b = 5.

A perpendicular line will have a slope that is the negative reciprocal of this value of m, so the desired slope is ...

-1/m = -1/(1/4) = -4

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . . for slope m through point (h, k)

Using m=-4 and (h, k) = (8, -8), the point-slope form of the equation for the line you want is ...

y +8 = -4(x -8)

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2 years ago

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snow_tiger [21]

Answer:

Step-by-step explanation:

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r = 4

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