simplify the expression below and state the value of m for which the simplified expression is not defined 2m² + m - 15/ m² - 9​

Answers

Answer 1

Answer:

The simplified expression is: [tex]\frac{2m-5}{m-3}[/tex]The simplified expression is undefined for m=3

Explanation:

The given expression is:

[tex]\frac{2m^2+m-15}{m^2-9}[/tex]

The numerator can be siplified by using factorization and denominator will be simplified using the formula

[tex]a^2-b^2 = (a+b)(a-b)[/tex]

So,

[tex]= \frac{2m^2+6m-5m-15}{(m)^2-(3)^2}\\=\frac{2m(m+3)-5(m+3)}{(m-3)(m+3)}\\=\frac{(2m-5)(m+3)}{(m-3)(m+3)}\\=\frac{2m-5}{m-3}[/tex]

A fraction is undefined when the denominator is zero. In order to find the value of m on which the simplified fraction will be undefined we will put denominator equal to zero.

So,

[tex]m-3 = 0 => m = 3[/tex]

Hence,

The simplified expression is: [tex]\frac{2m-5}{m-3}[/tex]The simplified expression is undefined for m=3

Related Questions

any good movies to watch ??

Answers

Answer:

The mandilorian

Explanation:

if y’all know any tell me too

Select all the correct answers. Which two statements are true about electric current through a circuit? Current flows from a positive terminal to a negative terminal. Current flows through an open circuit. Electrons flow from a positive terminal to a negative terminal. Electrons flow in the same direction as current. Electrons flow from a negative terminal to a positive terminal.

Answers

Answer:

Current flows from a positive terminal to a negative terminal.Electrons flow from a negative terminal to a positive terminal.

Explanation:

Indeed, it is a proven and generally accepted fact that electric current flows away from a positive terminal to a negative terminal. This is the case because the positive terminal of an electric circuit is under the pushing influence of the electric field, hence it moves to the negative terminal.

While electrons in an electric circuit flow from a negative terminal to a positive terminal. In other words, they move in the opposite direction of the current through the wires.

write a chemical reaction to show that nitric acid contains nitrogen​

Answers

Answer:

HNO3 &NO2

Explanation:

What is the quickest way to change the format of a table?

Copy and paste the table into a new slide.
Use the Table option on the Insert tab of the ribbon.
Delete the table and recreate it using a preconfigured table type.
Use the Table Styles option on the Design tab of the Table Tools contextual tab.

Answers

Answer:

If you don't like the default table format, you can easily change it by selecting any of the inbuilt Table Styles on the Design tab. The Design tab is the starting point to work with Excel table styles. It appears under the Table Tools contextual tab, as soon as you click any cell within a table.

The format of the table can be changed with the selection of the design tab in the tool to format with the contextual tab.

How table tool design the table?

The design tab for the table helps in making the changes to the table with the change in the name, formatting, style and other characteristics of the table.

There has been the presence of the preconfigured table style in the Excel, and the quickest way to configure a table involves the development of the table with the contextual table tools in the design tab. Thus, option D is correct.

Learn more about table, here:

https://brainly.com/question/15858153

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Which of these was used as a model service during the development of Twitter?

A)TXTMob

B)Tumblr

C)four square

D)Reddit

Answers

Answer:

tumblr or reddid cuz yeah

I think the answer to this is B.

how to get to meters to kilometer

Answers

Answer:

The length in kilometers is equal to the meters divided by 1,000.

Explanation:

The length in kilometers is equal to the meters divided by 1,000.

Just divide it by 100

Explain Why do people riding in a car have
to switch from one station to another to hear
music as time passes

Answers

Answer:

Because every music station it different and they play different styles of music at different times throughout the day.

Explanation:

It just kind of makes sense to me

which of the following words best describes the word icon ​

Answers

Answer:

symbol

Explanation:

Answer & Explanation:

An icon, is basically like a symbol.  Usually an Icon can mean different meanings, such for marketing or for websites.

Where does the Help feature in Access 2016 search for information by default?
O on the internet
O on the local computer
O on an external hard drive
O within the Access program files

Answers

Answer: A

Explanation:

Just did it

The internet is called the help feature in Access 2016 search for information by default.

What is the internet?

A worldwide computer system network that is made up of interrelated networks and also use standardized connection communications protocol to furnish an assortment of message and communication services.

By default, Access 2016 searches for information on the internet, which is referred to as the assistance feature.

Therefore, option A is correct.

Learn more about the internet, refer to:

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is lyin 2 me by cg5 a good song

Answers

Answer:

In my opinion no, but it could be good to u

Explanation:

Answer:

yea! it's the best of the best :D

hope this helps! <3

Which loop prints the numbers 1, 2...100?

c = 1

while (c <= 100):
c = c + 1
print (c)

c = 1

while (c < 100):
c = c + 1
print (c)

c = 1

while (c <= 100):
print (c)
c = c + 1

c = 1

while (c < 101):
c = c + 1
print (c)

Answers

Answer:

while (c <= 100):

print (c)

c = c + 1

Explanation:

We can cancel out the while loops with ' < ' because then it won't print when C is 100.

while (c <= 100):

print (c)

c = c + 1

Is probably right because unlike the other while loop with ' <= ' it has a print statement before the C = C + 1 which means look at this:

C = 1

print(c)

C = C + 1

So when it's run 1 is printed

But when doing the other while loop:

c = 1

while (c <= 100):

print (c)

c = c + 1

C = 1

c = c + 1

print(c)

It prints 2 because it added 1 to C first before actually printing it.

The loop that prints the numbers 1, 2...100 is

c = 1

while (c <= 100):

   print (c)

   c = c + 1

We are to find the loop that prints the numbers 1 , 2 …100.

Therefore, the loop that print 1 to 100 can be represented as follows:

c = 1

while (c <= 100):

   print (c)

   c = c + 1

c is a variable initialize with zero.

The while loop is used to check if c is less than or equals to 100.

If c is less than or equal to 100 we print the value of c .

Then we add 1 to c and go back to the loop again.

learn more on loop here: https://brainly.com/question/19705987?referrer=searchResults

This road sign means
O road work ahead
vehicle breakdown
O service stations
O construction zone has ended

Answers

Answer:

A

Explanation:

Uh, yeah, I sure hope it does (to everyone who watched vine)

Construction zone has ended is the correct answer

Now it says this and the airplane mode option is dull

Answers

Explanation:

Click the airplane mode again and see if your internet turns back on. if not then click the internet symbol and check to see why its down.

Answer:

can't use internet on airplane mode that's for battery save or no services

Which option best describes MacHack 6?

A.
It was a text-based adventure game.
B.
It was a graphical adventure game.
C.
It was a shooter game.
D.
It was an interactive chess program.
E.
It was a puzzle game t

Answers

Answer:

D. It was an interactive chess program.

Answer:it d

Explanation:

how to create an app on app store please its not a joke, if someone knows tell me how

Answers

Answer:

If your only talking about the app store then you program your app and when it is finished you submit it as an Apple developer and pay $99 for the app to be up.

Steps of what to do for submitting to the App Store:

Assemble App Store Information. Create a Bundle Identifier. Create a Certificate Signing Request. Create an App Store Production Certificate. Create a Production Provisioning Profile. Create an App Store Listing.Make The Release BuildFill In Version InformationSubmit Version For Review Release

hope that helps you out homie and good luck on your app bro.

One advantage of taking photographs under fluorescent light is that: Group of answer choices


they tend to be dull.

they tend to be bright.

they tend to be side lights.

they tend to have a lot of red .

Answers

They tend to be dull.

If your presentation uses a background, your text should _____.

be placed in bulleted lists
work well with the background
be at least 50-points
be written in paragraph form

Answers

your text should work well with the background.

It's very important for the text to be readable.

Answer:

B (work well with the background )  

Explanation:

I have chosen B, to be the best solution and here is why. Since, your presentation uses a background you would want your text to be fitted well with the background of your choice. That way users can still see the text.

2. How is accessing the Internet through a home network and public Wi-Fi similar?​

Answers

Answer: it is not the same

Explanation: via public wi-fi u can easily be hacked but your home wi-fi is yours and u are safe there

I need an example of an infinite loop like something close to that.

Answers

Answer:

int i =0

while(i=0){

console.log("if i=0 then this will keep printing until i is not 0")

}#we are not incrementing 'i' so i will be zero .

when is mail merge an effective productivity tool

Answers

Answer:

When a lot of letters with the same body text need to be personalized.

Explanation:

Answer: Mail merge would be the most effective when a lot of letters with the same body text need to be personalized.

Explanation: Ape x

Question 2 of 10
Aubrey didn't like to use graphics or images on her slides. She preferred to
use only a title for her slides and bullet-pointed text: What is the best thing
you could say to Aubrey about using media that might change her mind?
O A. As long as you use it responsibly, it will only enhance your slides
and engage your audience.
B. Media will keep your audience entertained and take the pressure
off of the presenter.
C. You should always try
slide.
include as much media as you can on a
D. Actually, Aubrey's beliefs are well founded and backed up by
research

Answers

Answer:

A

Explanation:

Answer: it is a

Explanation:

What is ur Favorite Musical Artist

Answers

Answer:

dani

Explanation:

Complete the sentence.

A ___________search can be done on a list that is not ordered.

Answers

Answer:

Well, a binary search has to be ordered. So ima just say linear search..

Explanation:

I think its linear..

A binary search can be done on a list that is not ordered.

What is a binary search?

Binary search is a fast technique that finds an item from a sorted list of objects with a run-time complexity of O(log n), where n is the total number of elements. Divide and conquer concepts are used in binary search.

When performing a binary search on an array in computer programming, the array must be sorted in ascending order, i.e. from the least to the highest with respect to the data value.

The primary benefit of using binary search is that it does not scan every element in the list. Instead of scanning each element, it searches the first half of the list. As a result, a binary search takes less time to find an element than a linear search.

Therefore, the correct option is b, Binary.

To learn more about binary search, refer to the link:

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The question is incomplete. Your most probably complete question is given below:

•Linear

•Binary

Why is cyberbullying so devastating to many people beyond just the victim?

Answers

Answer: If the situation goes undetected, it can lead to serious situations, self-harm, and damaged relationships. According to Superintendent Alex Geordan, some common long-term effects of cyberbullying include depression, low self-esteem, unhealthy addictions, trust issues, and poor mental health.

I'm not sure if these are correct.

Answers

Answer:

All the mention codes are correct.

Explanation:  

In the task1, a "name" variable is declared, that store a string, and in the next step, the built-in method "title, lower and upper" is defined, in which the title method capitalized the first character of the given word in each sentence, upper method change each character into upper case and the lower method changes each character into lower case.

In task2, a message variable is declared, that holds a string value in which the count method is used that counts the space character value.

In task3, a string value is used in the message variable, which uses a replace method to change the given string value.

In task3, a response variable is declared that uses an input method for input a string value, and inside the print method, len method is used that counts each input character number.

William is working on a term paper. He finds an online article on the same subject as his paper. He downloads the article and paraphrases a portion of it in his paper. He does not include the article in his list of references because he did not use the exact wording of the article. What illegal and unethical conduct is William guilty of?

A.
software piracy
B.
plagiarism
C.
patent infringement
D.
trademark violation

Answers

Answer:

B. Plagiarism

Explanation:

Answer:

B. Plagiarism

----------------------------------------------------------------------------------------------------------------

Explanation:

It's pretty simple--

- Software piracy is the unauthorized downloading, copying, use, or distribution of software, so it would not be A.

- Patent infringement  is when someone sells, imports, uses, or makes a product that someone else invented without permission, so it is not C.

- Trademark infringement is a violation of the exclusive rights attached to a trademark without the authorization of the trademark owner or any licenses, so it wouldn't be D.

- It is plagiarism because William is taking someone else's work and passing it off as his own. He did not credit the original author of the article so it counts as Plagiarism. Hope this helped you out a bit :D

How many passes will it take to find the five in this list? 1, 5, 10, 15, 20, 22, 30 edgenutiy 2020​

Answers

Answer:

1

Explanation:

Answer:

The answer is 2

Explanation:

edge 2020

why is computer known as a vesatile machine? Explain​

Answers

Explanation:

Computer is known as a versatile machine because it is Capable of doing many things competently.

Answer:

Computer is called versatile machine because it is used in almost all the fields for various purpose.

Like: Speed accuracy, automatic endurance, versatility, storage etc

With the Linux operating system, its open source design means it can be used, modified and ______
freely.

Answers

Answer:

distributed.

Explanation:

Because Linux is released under an open source license, which prevents restrictions on the use of the software, anyone can run, study, modify, and redistribute the source code, or even sell copies of their modified code, as long as they do so under the same license.

The advancements in which of the following technologies has most changed the American job market in recent years?
A.
computer and Internet
B.
manufacturing
C.
transportation
D.
health care

Answers

Computer and internet

This is the answer because over the years the computer have gotten smaller and more efficient. Internet has gotten better because it’s faster and they’ve made 5G.
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