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trapecia [35]
3 years ago
5

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
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(1) Prompt the user to enter five numbers, being five people's weights. Store the numbers in an array of doubles. Output the arr
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Answer:

weights = []

total = 0

max = 0

for i in range(5):

   weight = float(input("Enter weight " + str(i+1) + ": "))

   weights.append(weight)

   total += weights[i]

   if weights[i] > max:

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average = total / 5

print("Your entered: " + str(weights))

print("Total weight: " + str(total))

print("Average weight: " + str(average))

print("Max weight: " + str(max))

Explanation:

Initialize the variables

Create a for loop that iterates 5 times

Get the values from the user

Put them inside the array

Calculate the total by adding each value to the total

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The program based on the information given is illustrated below.

<h3>What is a program?</h3>

A computer program simply means a sequence of instructions in a programming language that is created for a computer to execute.

It should be noted that computer programs are among the component of software.

The program to create two rectangle objects and get their area and perimeter is depicted:

// Rectangle.cpp

using namespace std;

class Rectangle

{

public:

// Declare public methods here

void setLength(double);

void setWidth(double);

double getLength();

double getWidth();

double calculateArea();

double calculatePerimeter();

private:

// Create length and width here

double length, width;

};

void Rectangle::setLength(double len)

{

length = len;

}

void Rectangle::setWidth(double wid)

{

// write setWidth here

width = wid;

}

double Rectangle::getLength()

{

// write getLength here

return length;

}

double Rectangle::getWidth()

{

// write getWidth here

return width;

}

double Rectangle::calculateArea()

{

// write calculateArea here

return length*width;

}

double Rectangle::calculatePerimeter()

{

// write calculatePerimeter here

return 2*(length+width);

}

// This program uses the programmer-defined Rectangle class.

#include "Rectangle.cpp"

#include <iostream>

using namespace std;

int main()

{

Rectangle rectangle1;

Rectangle rectangle2;

rectangle1.setLength(10.0);

rectangle1.setWidth(5.0);

rectangle2.setLength(7.0);

rectangle2.setWidth(3.0);

cout << "Perimeter of rectangle1 is " << rectangle1.calculatePerimeter() << endl;

cout << "Area of rectangle1 is " << rectangle1.calculateArea() << endl;

cout << "Perimeter of rectangle2 is " << rectangle2.calculatePerimeter() << endl;

cout << "Area of rectangle2 is " << rectangle2.calculateArea() << endl;

return 0;

}

/*

output:

The perimeter of rectangle1 is 30

The area of rectangle1 is 50

The Perimeter of rectangle2 is 20

The area of rectangle2 is 21

*/

Learn more about program on:

brainly.com/question/1538272

#SPJ1

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