What is the solution to the equation y/y-4 -4/y+4=32/y2-16?

What Is The Solution To The Equation Y/y-4 -4/y+4=32/y2-16?

Answers

Answer 1

Answer:

No solution

Step-by-step explanation:

For the equation given, we have an alternate form that is

[tex]\dfrac{y^2 + 16}{y^2-16} =\dfrac{32}{y^2-16}[/tex]

It is clear that

[tex]y^2+16 = 32 \implies y=4, y=-4[/tex]

But the denominator goes to zero and it is undefined.

If you take

[tex]$\lim _{y\to 4}\left(\dfrac{y^2+16}{y^2-16}\right)$[/tex]

you'll see that

[tex]$\lim _{y\to 4^-}\left(\dfrac{y^2+16}{y^2-16}\right) = -\infty$[/tex]

[tex]$\lim _{y\to 4^+}\left(\dfrac{y^2+16}{y^2-16}\right) =\infty$[/tex]

It diverges and the limit does not exist.


Related Questions

PLEASE HELP ME THIS IS A TEST PROBLEM I NEED HELP 100 POINTS AND BRAINLELST

Answers

Answer:

C

Step-by-step explanation:

Select the correct comparison.
Set A
Set B
.
....
24
8 10
4 6 8 12
A. The typical value and the spread are both greater in set B.
B. The typical value and the spread are both greater in set A.
C. The typical value is greater in set A. The spread is greater in set B.
D. The typical value is greater in set B. The spread is greater in set A.

Answers

Answer:i would say C ADHAKFFA

Step-by-step explanation:

Jose Luis desea colocar una línea de azulejos alrededor de toda la piscina de su casa. La piscina tiene forma rectangular con un ancho de 10 m y una longitud de 25 m. , ¿cuántos metros lineales de azulejos necesitará comprar?

Answers

Answer:

70

Step-by-step explanation:

2 x (25 + 10) = 2 x 35 = 70

Jeff and George each have a box of popcorn. How much more popcorn does the bigger box hold than the smaller box?

Answers

Answer:

there in not enough information in your question to get an answer

Answer:

Part 1: Jeff Part 2: 130

Step-by-step explanation:

Select the correct answer. Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation, where b is the number of springtime bouquets. P = -5b^2 + 450b - 1,000
Which statement is true if Sarah needs to make a profit of at least $9,000?
A. Sarah must sell more than 90 bouquets.
B. Sarah must sell between 40 and 50 springtime bouquets.
C. Sarah must sell between 0 and 40 springtime bouquets.
D. Sarah must sell more than 50 springtime bouquets.​

Answers

Answer:

B

Step-by-step explanation:

If you plug in the answers for guess and repeat this one works.

The correct statement is Sarah must sell between 40 and 50 springtime bouquets true if Sarah needs to make a profit of at least $9,000.

Given that,

Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,

Where b is the number of springtime bouquets, [tex]P = -5b^2 + 450b - 1,000[/tex].

We have to determine,

Which statement is true if Sarah needs to make a profit of at least $9,000.

According to the question,

Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,

[tex]P = -5b^2 + 450b - 1,000[/tex]

Divide the equation by -5,

[tex]P = -5b^2 + 450b - 1,000\\\\P = -b^2 + 90b - 200[/tex]

Factorize the equation for the value of profit,

[tex]b^2 - 90b +200 = 0\\\\b^2 -50b -40b +200= 0\\\\b ( b-50) - 40(b-50) = 0 \\\\(b-50) (b-40) = 0 \\\\b- 50 = 0, \ b = 50\\\\b - 40 = 0, \ b = 40[/tex]

Hence, Sarah must sell between 40 and 50 springtime bouquets.

To know more about Quadratic equations click the link given below.

https://brainly.com/question/22364785

(x + 3;x 23
Function: g = 6;1 x?;x51
find g(-3)
a) 0
b) 9
c) 6
d) -9

Answers

Answer:

Static Public Member Functions ... Get FWORD from string (Big Endian 16-bit signed integer). ... (62x88 mm ; 2.44x3.46 in); B9 (44x62 mm ; 1.73x2.44 in); B10 (31x44 mm ; 1.22x1.73 in) ...

A circle of sunflowers is planted in Stanford's central Park. The circle has a diameter of 12 feet. What is the circle's radius?​

Answers

Answer:

Step-by-step explanation:

radius = ½×diameter = 6 ft

Rackham Graduate School has 8,000 students (5,000 PhD students and 3,000 masters stu- dents). The Rackham Student Government Executive Board has 4 student members: a President, a VP of Operations, a VP of Finance, and a VP of Administration. Reminder: no need to simplify your answers in this homework (unless problem explicitly says to).
a) How many ways are there to choose the Exec Board from all Rackham students?
b) How many ways are there to choose the Exec Board so that there is at least one masters student and one PhD student? (for any of the 4 positions)
c) How many ways are there to choose the Exec Board if the VP positions have to be PhD students (the president can be either a PhD or Masters student)?
d) How many ways are there to choose the Exec Board so that there is at least one masters student VP?

Answers

Answer:

a) 8,000!/(8000 - 4)! ways

b) 15,000,000 + 7998!/(7998 - 2)! ways

c) 5,000 + 7,999!/(7,999- 3)! ways

d) 3,000 + 7,999!/(7,999- 3)! ways

Step-by-step explanation:

The number of students at Rackham Graduate School = 8,000 students

The number of PhD students = 5,000

The number of masters students = 3,000

The number of student members of the Rackham Student Government Executive Board = 4 students

a) The number of ways there are to choose the Exec Board from all Rackham students = The number of ways to choose 4 students from 8,000 = 8,000!/(8000 - 4)!

b) The number of ways of having one Master student in the board = 3,000 ways

The number of ways of having one PhD student in the board after selecting a masters student = 5,000 ways

The number of ways of selecting the remaining 2 members =

7998!/(7998 - 2)!

The total number of ways of selecting at least one masters and one PhD in the board is therefore equal to 5,000 × 3,000 + 7998!/(7998 - 2)! ways

c) The number of ways of choosing the VP position as PhD = 5,000 ways

The number of ways of choosing the other three members = 7,999!/(8000 - 3)!

Therefore, the total number of ways = 5,000 + 7,999!/(7,999- 3)! ways

d) The number of ways of choosing a masters student as the VP position = 3,000 ways

The number of ways of choosing the other three members = 7,999!/(8000 - 3)!

Therefore, the total number of ways = 3,000 + 7,999!/(7,999- 3)! ways

Use the distributive property to simplify the following expression: 3 (2 + 5z)​

Answers

The answer is 6+15z

Tanner collected 360 cans and bottles while fundraising for his basketball team This was 40% less than what Reggie collected How many cans and bottles did Reggie collect?​

Answers

Answer:

Reggie collected 504 cans and bottles.

Step-by-step explanation:

40%=.40

360*.40=144

360+144=504

You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys and how many girls are in the class?

3 more boys; 5 for every 4

Answers

By using the given ratio, we will see that there are 15 boys and 12 girls.

How we can find the number of boys and girls in the class?

The given information is:

There are 3 more boys.There are 5 boys for every 4 girls.

Now, notice that in the ratio we have a difference of 1 boy, so if we want to have a difference of 3 boys, we must multiplicate it by 3, then we get:

3*15 boys for every 3*4 girls (remember that you can multiply both quantities on the ratio and it does not change).

15 boys for every 12 girls.

Now the difference is 3.

15 - 12 = 3

So we can conclude that there are 15 boys and 12 girls.

If you want to learn more about ratios, you can read:

https://brainly.com/question/1781657

25 points True or False.

The expressions 4(y−3)
and 4y−12
are equivalent?

Answers

Answer: true

Step-by-step explanation:

Simplifying the expression you end up with 4y^2 + 4y - 15 which is 3 terms.

The answer would be True.

The number of swings in use on average is.

Answers

Answer:

?

Step-by-step explanation:

On a recent test, Ahmed knew many of the answers, but there were four questions he was unsure of. In each of the four questions, he was able to eliminate two answers as being clearly wrong and was left with three answer choices to choose from. In each of the four questions, he randomly selected one of the remaining three answers. Which of these statements describes how Ahmed could simulate this situation with a random number generator to determine if he will select the correct answers for these four questions?
It is impossible to simulate this with a random number generator without knowing what the correct answer choices were Using his calculator, Ahmed could use the Randint(1,4) command three times to select three integers from 1 to 4. Let a 1 indicate a correct guess, and a 2, 3, or 4 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. Using his calculator, Ahmed could use the Randint(1,4) command to select a random integer from 1 to 4. This would be the number of correct guesses he made on the four questions. Using his calculator, Ahmed could use the Randint(1,3) command four times to select four integers from 1 to 3. Leta 1 indicate a correct guess, and a 2 or 3 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. It is impossible to simulate this with a random number generator without knowing what the correct answer choices were. Using his calculator, Ahmed could use the Randint(1,4) command three times to select three integers from 1 to 4. Let a 1 indicate a correct guess, and a 2, 3, or 4 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. Using his calculator, Ahmed could use the Randint(1,4) command to select a random integer from 1 to 4. This would be the number of correct guesses he made on the four questions. Using his calculator, Ahmed could use the Randint(1,3) command four times to select four integers from 1 to 3. Let a 1 indicate a correct guess, and a 2 or 3 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses. Using his calculator, Ahmed could use the Randint(1,5) command four times to select four integers from 1 to 5. Leta 1 indicate a correct guess, and a 2, 3, 4, or 5 indicate an incorrect guess. Count the number of 1s to correspond to the number of correct guesses.

Answers

Answer:

It is impossible to simulate this with a random number generator without knowing what the correct answer choices were

Step-by-step explanation:

Given

[tex]Questions = 4[/tex]

[tex]Options = 5[/tex]

Required

How can he select the right answer

Using randint will only generate a random number which could or could not be the answer to the question.

This is so because each of the 5 options for the question has the same probability of 1/5. So, using randint will only generate a random number. This generated random number has 1/5 chance of being the answer and 4/5 of not being the answer to the question.

In a nutshell, he can not make use of a simulator to select the answer to the questions in this scenario, unless he knows the solution.

Hence (a) answers the question.

Graph the inequality.
x > 4

Answers

Answer:

Step-by-step explanation:

HELP PLEASE thank uuuuu

Answers

.

a²+25²=31²

31²-25²=a²

961-525=a²

a²=336

√a=√336

a=18.33

18.33 ask if you need an explanation

What is 100*10+1000*33/100

Answers

Answer:

Your answer will be 1,330 I hope this helps

Answer:

my answer is (100+3300=3400

Evaluate the formula for B = 9 in.2 and h = 32 in.

32 in.3

9.6 in.3

96 in.3

288 in.3

Answers

Answer:

is going to give you a decimal as then you divide it by 2 and then multiply that number by 4 hope this helps

Step-by-step explanation:

Answer:

is going to give you a decimal as then you divide it by 2 and then multiply that number by 4 hope this helps

Step-by-step explanation:

6) Solve:
5x + 12 + 3x = 8x - 5

Answers

Answer: −17

Step-by-step explanation: ez

Hope this helps !!!!!

What is the value of c so that −15 and 15 are both solutions of x^2−c=157?

Answers

Answer: -c= 157+X^2

Step-by-step explanation:

1) f(x) = 3*
f(x)
x
-1
0
1
2 3

Answers

1)f(×)=3*=f(×)=×-1 0 1=0.23

A researcher studies differences in career goals between boys and girls in middle school. All of the students in the seventh grade schools in a particular county answer a list of questions. What type of study is this?

A. Experiment
B. Sample Survey
C. Observational Study
D. Random Trial

Answers

Answer:  B) Sample survey

Explanation:

When asking/answering questions like this, a survey is involved. It could be multiple choice or fill in the blank. Multiple choice may be the best way because it's easier to compare data results when you have only a few options. It also gives the computer an easier time too.

We aren't conducting an experiment since the researcher is not directly affecting the people, and instead letting them answer the questions without intervention. Also, note how we don't have two groups of treatment vs control. This is another indication we don't have an experiment.

An observational study is not being done here either. Yes the researcher is observing the survey results, but s/he is not making notes on the individuals before the survey is conducted (ie before the questions are asked). An example of an observational study is having the researcher make a tally of students' hair color. The researcher simply looks at each student, marks the correct tally, and doesn't need to ask the student a question. So you can see that the interactive question/answer portion is not present in an observational study.

The phrasing "random trial" is not a study type. When you hear "random trial" in the news, maybe for a new drug being developed, the news report is implying heavily that an experimental study had been done. This is true with all drug trials. One group is the treatment group that gets the actual drug, while the control group gets a fake drug. The control group thinks they get the actual drug, which is important because if they knew it was fake, then it would invalidate the study. I recommend researching the placebo affect for more information. The two group's results are then computed to see if the drug did in fact cause a change in the subjects or not. You would see this if there's a significant difference between the treatment and control group. Anyway, the "random trial" is not a study type but rather an aspect of an experimental study. It's possible your teacher put this in here to throw off students.

What quadrant does 21pi/4 lie in?

Answers

Answer:

The angle is in the third quadrant.

Shari is adding these fractions: 1/3 + 1/4 What's her next step? 4/12 + 3/12 = 7/12 1/3 + 1/4 = 2/7 1/3 + 1/4 = 2/12 4/12 + 3/12 = 7/24 Flag Question

Answers

Answer:

4/12+3/12=7/12

Step-by-step explanation:

just took the quiz

Gina tosses a number cube 66 times. About how many times would you expect that Gina would toss a 6?​

Answers

Answer:11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

its 11 because 66 divided by 6 = 11

What Is 1 x 2 x 3 x 4 x 5/2

Answers

Answer:

60

Step-by-step explanation:

Please refer to the attachment

The answer is 60 kinda easy lolz :)

I need help please.

Answers

4n-14 hope this helps
It’s 4n-14 hope that helps

Shawn buys 15 shirts for a total of $60. Express this as an equation using 'X' as the cost of each shirt.​

Answers

Answer:

15x = 60

Step-by-step explanation:

Hi,

We know he bought 15 shirts for an x amount of dollars, so 15 times however much they cost is 15x and the total is 60.

hope this helps :)

How would I solve this ? And what’s the answer..... ;\

Answers

Answer: 8

Explanation:
So for any problems like these
They are giving you the ‘x’
So you plug in what is given; which is f(5)

1/4 x 2^5
Solve like normal
Which gets you 8

What is 1 1/2 divided by 1 1/4 simplied

Answers

1 1/2= 1.5 1 1/4= 1.25 1.5/1.25=1.2
1 1/5, i did it on my calculator. the answer to ur question doesn’t need any simplifying
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