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2 years ago

What is the domain of f(x)=3x/x-1?

Mathematics

2 answers:

Jlenok [28]2 years ago

6 0

Answer is C.) all real numbers except 1

Katena32 [7]2 years ago

3 0

For this case, we have by definition the domain of a function is given by all the values for which the function is defined.

We have the function:

$f (x) = \frac {3x} {x-1}$

It is not defined when the denominator is 0. This is when:

$x-1 = 0\\x = 0 + 1\\x = 1$

Thus, the domain of the function is given by all the real numbers minus the 1.

Answer:

Option C

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92542 nearest ten thousand

crimeas [40]

90,000
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3 years ago

Test the four possible vertices that you found in the objective function in part A. Use those values to determine which set of v

irga5000 [103]

The testing of the four vertices of the objective function gives;

C(5, 0, 55) = 430

C(5, 30, 25) = 400

C(15, 30, 15) = 420

C(45, 0, 15) = 510 (maximum)

<h3>How to test objective functions?</h3>

The objective function is seen as attached.

Now, it is noticed that just two of the vertices are listed. The other two vertices are intersections of x + y + z = 60 with x = 5 and the constraints on y.

We will assume that; 0 ≤ y ≤ 30

Thus, the missing vertices are;

(x, y, z) = (5, 0, 55) and (5, 30, 25)

The two given vertices are;

(x, y, z) = (15, 30, 15) and (45, 0, 15)

Therefore, the objective function values are;

C(5, 0, 55) = 9·5 +6·0 +7·55 = 45 +0 +385 = 430

C(5, 30, 25) = 9·5 +6·30 +7·25 = 45 +180 +175 = 400

C(15, 30, 15) = 9·15 +6·30 +7·15 = 135 +180 +105 = 420

C(45, 0, 15) = 9·45 +6·0 +7·15 = 405 +0 +105 = 510

Read more about Objective Functions at; brainly.com/question/16826001

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5 0

1 year ago

A recipe for cookies calls for 3/5 of a cup of sugar per batch. Jackie uses 12 3/5 cups of sugar to make multiple batches of coo

Vitek1552 [10]

She made 21 batches! Can I have brainlyest please?

8 0

2 years ago

If the probability that a chef likes carrots is 0.13, the probability of those who like broccoli is 0.72, and the probability of

rosijanka [135]

Taking into account definition of probability, the probability of those who like both is 0.07 or 7%.

<h3>Definition of Probabitity</h3>

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

<h3>Union of events</h3>

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

<h3>Complementary event</h3>

A complementary event, also called an opposite event, is made up of the inverse of the results of another event. That is, That is, given an event A, a complementary event is verified as long as the event A is not verified.

The probability of occurrence of the complementary event A' will be 1 minus the probability of occurrence of A:

P(A´)= 1- P(A)

<h3>Events and probability in this case</h3>

In first place, let's define the following events:

C: The event that a chef likes carrots.
B: The event that a a chef likes broccoli.

Then you know:

P(C)= 0.13
P(B)= 0.72

In this case, considering the definition of union of events, the probability that a chef likes carrots and broccoli is calculated from:

P(C∪B)= P(C) + P(B) -P(C∩B)

Then, the probability that a chef likes carrots and broccoli is calculated as:

P(C∩B)= P(C) + P(B) -P(C∪B)

In this case, considering the definition of the complementary event and its probability, the probability that a chef likes NEITHER of carrots and broccoli is calculated as:

P [(C∪B)']= 1- P(C∪B)

In this case, the probability of those who like neither is 0.22

0.22= 1 - P(C∪B)

Solving

0.22 - 1= - P(C∪B)

-0.78= - P(C∪B)

- (-0.78)= P(C∪B)

Now, remembering that P(C∩B)= P(C) + P(B) -P(C∪B), you get:

P(C∩B)= 0.13 + 0.72 -0.78

Solving:

P(C∩B)= 0.07= 7%

Finally, the probability of those who like both is 0.07 or 7%.

Learn more about probability:

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brainly.com/question/26038361

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6 0

1 year ago

18 divided by tan 30

Arlecino [84]

Answer:

18cot(30) or nearly -2,81016

6 0

3 years ago