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:

Answer:

  • The simplified expression is: (2m-5)/(m-3)
  • The simplified expression is undefined for m=3

Explanation:

The given expression is:

(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,

= (2m^2+6m-5m-15)/((m)^2-(3)^2)\n=(2m(m+3)-5(m+3))/((m-3)(m+3))\n=((2m-5)(m+3))/((m-3)(m+3))\n=(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: (2m-5)/(m-3)
  • The simplified expression is undefined for m=3

Related Questions

Joe runs a handyman service. He enjoys writing and keeping up on the latest trends. He wants to share this information with his clients. He decides that he would like to create an online community where he can frequently post information. He'd like his readers to be able to add to and comment on his entries. Although Joe knows his way around the Internet, he is not a programmer, by any means, so he is looking for a simple solution. In 5–10 sentences, describe the points that Joe needs to consider when choosing a telecommunications technology to meet his needs.
Maria is an experienced programmer who has worked on different projects. she was recently promoted to be a software development team leader. what skills must programmers like maria exemplify in order to do well as a team leader?
When possible, you should avoid using _________ variables in a program?
A ____ error occurs when an instruction does not follow the grammar of the programming language
Computer piracy occurs when what is violated

What is the 10/20/30 rule?

Answers

This represents Guy Kawasaki Rule for PowerPoint Presentations. Here is what it stands for: 

10 slides are the optimal number to use in a  presentation.
20 minutes is the longest amount of time that you should speak.
30 point font is the smallest font that you should use on slides.


Write a static method named anglePairs that accepts three angles (integers), measured in degrees, as parameters and returns whether or not there exists both complementary and supplementary angles amongst the three angles passed. Two angles are complementary if their sum is exactly 90 degrees; two angles are supplementary if their sum is exactly 180 degrees. Therefore, the method should return true if any two of the three angles add up to 90 degrees and also any two of the three angles add up to 180 degrees; otherwise the method should return false. You may assume that each angle passed is non-negative.

Answers

Answer:

The java program for the scenario is given below.  

import java.util.*;

public class Test

{

// method returning sum of all digits in the integer parameter

static boolean anglePairs(int a1, int a2, int a3)

{

   // variable to hold sum of two complementary angles

   int comp=90;  

   // variable to hold sum of two supplementary angles

   int supp=180;

   // boolean variable to hold result

   boolean result = false;

   if( (a1+a2 == comp) || (a2+a3 == comp) || (a1+a3 == comp) )

   {

       if( (a1+a2 == supp) || (a2+a3 == supp) || (a1+a3 == supp) )

           result = true;

       else

           result = false;

   }    

           // return variable result

       return result;

}

public static void main(String[] args)

{

   // method is called by passing three positive angles

   System.out.println("The pair of angles have both complementary and supplementary angles " + anglePairs(100, 80, 90) );    

}

}

OUTPUT

The pair of angles have both complementary and supplementary angles false

Explanation:

The program works as described below.

1. The method, anglePairs(), is declared as static having return type as Boolean which takes three positive integer parameters.

static boolean anglePairs(int a1, int a2, int a3)

{

}

2. The integer variable, comp, is declared and initialized to 90.

3. The integer variable, supp, is declared and initialized to 180.

4. The Boolean variable, result, is declared and initialized to false.

5. Using if-else statements, sum of two angles are compared with the variables, comp and supp.

6. If the sum of any two angles match with both, comp and supp, variables, the Boolean variable, result is assigned value true. Otherwise, result is assigned value false.

7. The value of result is returned.

8. Inside main() method, the function anglePairs() is called and three positive numerical values are passed as parameters.  The output is displayed.

9. All the above code is written inside the class Test.

10. User input is not taken since it is not mentioned in the question.

Suppose that you use a 220 Ohm resistor as the fixed resistor in your Arduino burglar alarm.Suppose that the photoresistor is the same one we used in our last homework assignment, where the resistance is 500 Ohms when it is fully illuminated by light, and 180 kiloOhms when it is in darkness.

What would the input voltage be to the Arduino when it is fully illuminated if we connect the Arduino so that its analog input pin "sees" the same voltage difference that the photoresistor has across it.

In the previous problem, what would the input voltage be to the Arduino when it is darkness if we connect the Arduino so that its analog input pin "sees" the same voltage difference that the photoresistor has across it.

Answers

Different types of light detectors are LDRs or Light Dependent Resistors Photo . First you need to connect the LDR to the analog input pin 0 on the Arduino. If intensity of light falling on LDR is high LDR will have low resistance

Which format must a document be saved in to share it between two different word processors?

Answers

Document can be rasterizated and saved as .jpg

Rich Text Document is the answer

A slide _____ is a special animation effect used to progress from one slide to the next slide in a slide show.

Answers

A slide *transition* is the word you're looking for, well I mean, if you're using powerpoint it is.

Your answer is transition

___________ allows interactive visualization and collaboration over the web.a. CATIA
c. CAD
b. Architecture
d. Landscape software

Answers

CATIA allows interactive visualization and collaboration over the web. The correct option is a.

What is CATIA?

The CATIA model is a 3-D interactive application that uses computers to facilitate interactive visualization and online collaboration. Computer Aided Three-Dimensional Interactive Application is what CATIA stands for.

Through the manipulation of chart pictures, interactive visualization technology enables data exploration. Aspects of the dataset under analysis are represented by the color, brightness, size, shape, and motion of visual objects.

Computer Aided Three-Dimensional Interactive Application is referred to as CATIA. The software is much more than just a CAD (Computer Aided Design) program.

Therefore, the correct option is a. CATIA.

To learn more about CATIA, refer to the link:

brainly.com/question/2495278

#SPJ6

ITS A

hope this helps