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2 years ago

Which of the following rational functions is graphed below?

Mathematics

1 answer:

Zepler [3.9K]2 years ago

3 0

Answer:

D. F(x) = 1/(x +5)²

Step-by-step explanation:

The vertical asymptote at x=-5 tells you that x=-5 will be a zero of the denominator. The only equation with a denominator factor of (x+5) is ...

F(x) = 1/(x +5)²

_____

<em>Additional comment</em>

The fact that the value of F(x) does not change sign at the vertical asymptote tells you the denominator factor will be of even degree. That is taken for granted here, as all denominators are squares in the answer choices.

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ryzh [129]

Answer:

Step-by-step explanation:

Forget using calculators.

Test each point by plugging its coordinates into the equation, and checking if the equation holds true.

Don't bother testing (-3,0), because you can't take the square root of -3.

8 0

3 years ago

What is the volume of a rectangular prism if the area is 30 square inches and the height is 3 inches?

MrMuchimi

Answer:

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Step-by-step explanation:

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2 years ago

Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.

Elden [556K]

Answer:

$Pr = \frac{1}{216}$

Step-by-step explanation:

The sample space of a single dice is:

$S = \{1,2,3,4,5,6\}$

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Required:

The probability of rolling 3 sixes

In a sample space of a roll of die, we have:

$n(6) = 1$

In a roll of dice, the probability of rolling a 6 is:

$P(6) = \frac{n(6)}{n(S)}$

$P(6) = \frac{1}{6}$

In 3 rolls, the probability is:

$Pr = P(6)^3$

$Pr = [\frac{1}{6}]^3$

$Pr = \frac{1}{216}$

4 0

3 years ago

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e-lub [12.9K]

Answer:

0.363636363636364

Step-by-step explanation:

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3 years ago

Read 2 more answers

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Phantasy [73]

Answer:

3 :)

Step-by-step explanation:

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