(Algebra: solve 2 x 2 linear equations) You can use Cramer's rule to solve thefollowing 2 X 2 system of linear equation:ed – bfax + by = ecx + dy = faf - eсyad – bc%3Dad – bcWrite a program that prompts the user to enter a, b, c, d, e, and f, and displays theresult. If ad – bc is 0, report that "The equation has no solution."

Java code: //import Scanner classs from util packageimport java.util.Scanner; public class Main{…

Answered: (Algebra: solve 2 x 2 linear equations)…

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter5: Control Structures Ii (repetition)

Section: Chapter Questions

Problem 28PE

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1: If the variable divisor is not zero, divide the variable dividend by the divisor, and store theresult in quotient. If divisor is zero, assign it to quotient. Then print all the variables. [ Assumethat divisor and dividend are integers and quotient is a double ]
Indicate whether the argument is valid or invalid. For valid arguments, prove that the argument is valid using a truth table. For invalid arguments, give truth values for the variables showing that the argument is not valid.
Exercise II Write a program that finds the positive integer solutions of the following equation ax³ + bx² + cx' + d = 0. The user enters the values of coefficients a, b, c and d. The program should test each integer starting from -50 to 50, and each time the equation is equal to zero, it prints its value as well as "is a solution". At the end, it displays the total number of positive integers found. Note that if the equation has more than one solution, the plural word “solutions" is used in the output. Sample run 1: Enter the coefficient of a, b, c, d: 1 -8.5 21 -13.5 1 is a solution 3 is a solution The equation has 2 integers as solutions Sample run 2: Enter the coefficient of a, b, c, d: 6 48 103.5 67.5 The equation has no integer solutions Sample run 3: Enter the coefficient of a, b, c, d: 1 -1 -12 0 4 is a solution The equation has 1 integer solution
-scripting language Write a program that randomly generates a lottery between 100 and 999 (random.randint(100, 999)), prompts the user to enter a number in the same range, and determines whether the user wins according to the following rule: (1) If the user input matches the lottery in exact order, print "the award is $10,000". E.g., lottery = 123, input = 123(2) If the user input matches the lottery, but in wrong order, print "the award is $6,000". E.g., lottery = 123, input = 321(3) If two digits in the user input matches a digit in the lottery, print "the award is $3,000". E.g., lottery = 123, input = 612(4) If one digit in the user input matches a digit in the lottery, print "the award is $1,000". E.g., lottery = 123, input = 289(5) If none of the digits is matched, print "thank you".
(Physics) Coulomb’s Law states that the force, F, acting between two electrically charged spheres is given by this formula: F=kq1q2r2 q1isthechargeonthefirstsphere.q2isthechargeonthesecondsphere.risthedistancebetweenthecentersofthetwospheres.kisaproportionalityconstant. Write an assignment statement to calculate the force, F.
(Civil eng.) Write an assignment statement to calculate the linear expansion in a steel beam as a function of temperature increase. The formula for linear expansion, l, is as follows: l=l0(1+(TfT0)) l0isthelengthofthebeamattemperatureT0.isthecoefficientoflinearexpansion.Tfisthefinaltemperatureofthebeam.
(Misc. application) a. Write a program to reverse the digits of a positive integer number. For example, if the number 8735 is entered, the number displayed should be 5378. (Hint: Use a do statement and continuously strip off and display the number’s units digit. If the variable numinitially contains the number entered, the units digit is obtained as (num % 10). After a units digit is displayed, dividing the number by 10 sets up the number for the next iteration. Therefore, (873510)is5and(8735/10)is873. The do statement should continue as long as the remaining number is not 0.) b. Run the program written in Exercise 3a and verify the program by using appropriate test data.
The following statement should determine if x is not greater than 20. What is wrong with it?
Problem Description: In the Whimsical Library, each book is enchanted with a magical code to ensure the protection of knowledge. The validation process for these magical codes involves a combination of mathematical spells. The validation process is described as follows: Take the sum of the digits at odd positions from left to right. Take the sum of the squared digits at even positions from left to right. If the absolute difference between the results from step 1 and step 2 is a prime number, the book code is considered valid; otherwise, it is invalid. Example 1: Consider the magical book code 86420137. Step 1. Take the sum of the digits at odd positions from left to right. 8+4+0+3=15 Step 2. Take the sum of the squared digits at even positions from left to right. 6^2+2^2+1^2+7^2=36+4+1+49 = 90 Step 3. If the absolute difference between the results from step 1 and step 2 is a prime number. 115-901 75 (not a prime number) Book code 86420137 is invalid. Example 2: Now, let's examine the…
* :Draw the Boolean expression
Challenge Problem (pyhton) T E S T S C O R E S Write a program that implements a test scores program. Valid test score entries are between 0 and 100 inclusive. The program should display a welcome message and run everything through the "main" function. have the ability to enter several test scores (try a loop) and print out the total score, as well as, the average score. continuously ask for test scores until the number 99.9 has been entered. test for valid entries and the value 99.9. If a test score is valid, the program should add the current score to the total score and update the number of test scores by one (+1), otherwise it displays an error message. Note : This assignment involves the use of a while loop and if-else decision making controls. You CANNOT use the reserved keywords break and continue for any portion of this program or any program for that matter throughout this course.
Financial application: compute future apartment rent) Suppose that the rent for an apartment is $1000 thisyear and increases 3% every year. Write a program that computes the rent in five years and the total rent forone year starting five years from now.

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