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Alex73 [517]
3 years ago
5

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! Which graph represents the function?

Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer: A

<u>Step-by-step explanation:</u>

The vertical asymptote is the restriction on the x-value.  Since the denominator cannot be equal to zero, then x + 1 ≠ 0 →  x ≠ -1.     So, the vertical asymptote is: x = -1  

The horizontal asymptote is the restriction on the y-value.  Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0.  However, there is a vertical shift of 2 units up so the horizontal asymptote is: y = 2  

The only graph that displays these asymptotes is the first graph, <em>which I call graph A.</em>


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Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had planned on using a random an
belka [17]

Answer:

There are 4 questions to answer here and the answers are given below:

1. COMBINATION

2. SET 2  

3. {S2, S3, S4, S5}

4. { }  OR  ∅

Step-by-step explanation:

The key topics here are PERMUTATION & COMBINATION and SETS & VENN DIAGRAMS.

The assignment has 5 questions in all. The options for each question are listed below and separated by commas:

1. True, False

2. True, False

3. A, B, C, D

4. A, B, C, D

5. A, B, C, D

Mr. Montes derives his answers from a random answer generator; same way Amisha generated her answers by random selection.

<u>QUESTION 1</u>

If you want to find the odds that Amisha got at least 3/5 of the answers correctly, would you use a permutation or a combination?

<u>ANSWER TO QUESTION 1</u>

You would use a combination. Note that as much as 'permutation' is distinctly defined from 'combination', in many complex cases both are used to derive the solution. In this case though, a combination is used. For each of the 5 questions, there are a number of possible answers. Questions 1 and 2 have only <em>two possible answers</em> (also known as options) while questions 3, 4 and 5 have <em>four possible answers</em>/<em>options</em> to choose from. Amisha can only have one set of five answers; each to each question. So this is a combination! If you want to find the odds that Amisha got at least 3 of her 5 answers correct, you would use a combination of the various possible answers to check.

<u>QUESTION 2</u>

Find "Set 1 ∩ Set 2" and explain the notation in the sentence.

<u>ANSWER TO QUESTION 2</u>

First list out relevant information:

- The correct answers to questions 3, 4 and 5 are respectively C, B, A

- The universal set consists of five students: S1, S2, S3, S4, S5 hence

Ц = {S1, S2, S3, S4, S5}

Next, enlist the elements of each defined set

Set 1: {S1, S2, S3, S4, S5}     Set 2: {S2, S3, S4}     Set 3: {S4, S5}

Note: Set 1 is equal to the universal set.

Now this notation "∩" means "intersect". It requires an action - checking out which elements in one set also appear in a second set and then bringing those elements to form a new set.

In the case of this question, we're to find Set 1 intersect Set 2. The elements present in Set 1 and also present in Set 2 are {S2, S3, S4}.

If you look closely, you'll observe that these are the same elements in Set 2! This brings to remembrance, one of the laws of sets:

The intersect of any subset and the universal set (recall that Set 1 happens to be equal to or have the same elements as the universal set) is equal to that subset.

So the answer to question 2 is

Set 1 ∩ Set 2 = Set 2

<u>QUESTION 3</u>

Find "Set 2 ∪ Set 3" and explain the notation in the sentence.

<u>ANSWER TO QUESTION 3</u>

The notation ∪ represents "union". This is the act of putting together the elements in two sets, to form a new set. In this activity, if an element appears in both sets, it is only written once in the new set, not twice.

So, Set 2 union Set 3 = {S2, S3, S4, S5}

As earlier stated, Student 4 isn't appearing twice in the new set.

<u>QUESTION 4</u>

Find the ' of Set 1 and explain the notation in this sentence.

<u>ANSWER TO QUESTION 4</u>

The symbol ' means "complement of a set". Finding the complement of a set is like subtracting the elements of that set from the universal set.

Since Set 1 contains the same elements as the universal set, subtracting Set 1 from the universal set will give you nothing. In this case, the complement of Set 1 is a null set!

Set 1 ' Ц = { }  or  ∅

where the empty bracket symbol and the slashed zero symbol represent null set.

Kudos!

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3 years ago
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Answer:

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3 years ago
Find m angle 1 and m angle 3 in the kite.
stepladder [879]

Answer:

m∠1=39°, m∠3=51°

Step-by-step explanation:

Angle 3 = 180-(39+90)

180-129=51

Angle 1 = 39 b/c of the corresponding angles.

6 0
3 years ago
Find the sum and the product of the roots of the equation:<br><br> x^2−37x+27=0
lawyer [7]

Answer:

Sum of the Roots = 37

Product of the Roots = 27

Step-by-step explanation:

Here, the given expression is  x^{2}  - 37x + 27 = 0

Now the general Quadratic Equation is of the form:

ax^{2}  + bx + c = 0

Here, Sum of the Roots = -(\frac{b}{a} )

and the Product of the Roots =  (\frac{c}{a} )

So, comparing the general equation with the given equation, we get:

a = 1, b = -37 and c = 27

So, Sum of the Roots = -(\frac{-37}{1} )  =  37

and the Product of the Roots =  (\frac{27}{1} ) = 27

6 0
3 years ago
What is the prime factor of 56
Sauron [17]
56=8*7=2^3*7=2*2*2*7 

Hope that helped
6 0
3 years ago
Read 2 more answers
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