All categories

3 years ago

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

Computers and Technology

1 answer:

motikmotik3 years ago

7 0

Answer:

The simplified expression is: $\frac{2m-5}{m-3}$

The simplified expression is undefined for m=3

Explanation:

The given expression is:

$\frac{2m^2+m-15}{m^2-9}$

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

$a^2-b^2 = (a+b)(a-b)$

So,

$= \frac{2m^2+6m-5m-15}{(m)^2-(3)^2}\\=\frac{2m(m+3)-5(m+3)}{(m-3)(m+3)}\\=\frac{(2m-5)(m+3)}{(m-3)(m+3)}\\=\frac{2m-5}{m-3}$

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,

$m-3 = 0 => m = 3$

Hence,

The simplified expression is: $\frac{2m-5}{m-3}$

The simplified expression is undefined for m=3

You might be interested in

Which software application is most appropriate for creating slideshows using text, charts, photographs, clip art, and video? dat

Daniel [21]

I'd say powerpoint I always use this to show graphs and stuff

4 0

3 years ago

Read 2 more answers

You have four DCs in your domain. Active Directory appears to be corrupted on one of the DCs, and you suspect a failing hard dri

Softa [21]

Answer:C

Explanation:

5 0

3 years ago

why do networking components need more examination from an information security perspective than from a systems development pers

padilas [110]

Networking components will eventually interact with computers and devices outside of itself. Whereas during system development you are only interacting with your program internally.

For example, when you first work on a website you can begin working on it on your personal computer not connected to the outside world. When you are done working on your website you will now upload it to a webserver (or you will create your webserver) and now you are opening up the doors so to speak to the Internet. When you "open the door" you need to make sure the proper security is in place so that no one hacks your site. This is ussually done by making sure the webserver you are on does not have any known security vulnerbilities and has the proper firewall settings to prevent unauthorized access.

4 0

4 years ago

Add three methods to the Student class that compare twoStudent objects. One method (__eq__) should test for equality. A second m

shusha [124]

Answer:

class Student(object):

def __init__(self, name, number):

self.name = name

self.scores = []

for count in range(number):

self.scores.append(0)

def getName(self):

return self.name

def setScore(self, i, score):

self.scores[i - 1] = score

def getScore(self, i):

return self.scores[i - 1]

def getAverage(self):

return sum(self.scores) / len(self._scores)

def getHighScore(self):

return max(self.scores)

def __eq__(self,student):

return self.name == student.name

def __ge__(self,student):

return self.name == student.name or self.name>student.name

def __lt__(self,student):

return self.name<student.name

def __str__(self):

return "Name: " + self.name + "\nScores: " + \

" ".join(map(str, self.scores))

def main():

student = Student("Ken", 5)

print(student)

for i in range(1, 6):

student.setScore(i, 100)

print(student)

print("\nSecond student")

student2 = Student("Ken", 5)

print(student2)

print("\nThird student")

student3 = Student("Amit", 5)

print(student3)

print("\nChecking equal student1 and student 2")

print(student.__eq__(student2))

print("\nChecking equal student1 and student 3")

print(student.__eq__(student3))

print("\nChecking greater than equal student1 and student 3")

print(student.__ge__(student3))

print("\nChecking less than student1 and student 3")

print(student.__lt__(student3))

if __name__ == "__main__":

5 0

4 years ago

Which is a value of the Scrum Manifesto?

erma4kov [3.2K]

Answer: I think the answer is a. working software over comprehensive documentation

Explanation: Agile Manifesto is a brief document built on 4 values and 12 principles for agile software development. The Agile Manifesto was published in February 2001 and is the work of 17 software development practitioners who observed the increasing need for an alternative to documentation-driven and heavyweight software development processes.

7 0

3 years ago

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

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