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Question 1) Suppose that in the process of solving a system of three linear equations in three unknowns, the last row of the matrix contains all zeros. How does this affect the solution of the system of equations?
Question 2) What are the definitions of the different systems of linear equations: dependent, independent, consistent, and inconsistent?
Question 3) How many solutions will an independent system have?
Question 4) How many solutions lie in the solutions region?
A "system" of linear inequalities is a set of linear inequalities that you deal with all at once. Usually you start off with two or three linear inequalities. The technique for solving these systems is fairly simple. Here's an example.
o Solve the following system:
2x - 3y < 12
x + 5y < 20
x > 0
Question 5) How do you solve the system of inequalities like the one below? Note, this is not a system of equations.
State the inverse, the converse, and the contrapostive of the given statements.
The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 382 square centimeters, find the dimensions of the poster with the smallest area.
How many new books of each type should be published to maximize the annual profit while conforming to company policy?
Find the average rate of change per month in the average price per gallon for each time period. From January to July (the peak), From July to December and From January to December.
The probability of a getting a new sales contract with any given client is .44. A sales representative works with 8 clients this week. What is the probability he will get exactly 3 contracts this week? (Answer to the third decimal place.)
What societal factors may have caused the U.S. Supreme Court to abandon the rule of stare decisis in the Lawrence v. Texas and Bowers v. Hardwick cases?
What's the formula for the circumference of a circle?
Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
Rotate the coordinate axes to change the equation 3x2 + 2√3xy + y2 - 8x + 8√3y = 0 into an equation that has no cross product (xy) term. Then identify the equation.
A plane flies 470 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is 26 mph, what is the speed of the plane in still air?
Rewrite the system of linear equations in the matrix form and solve the system of linear equations using the Inverse method.
How many cups of salt should be added to five cups of mixture A so that the resulting mixture has equal amounts of salt and pepper?
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