Systems of Linear Eq
The number of linear equations necessary to solve for 2 unknown variables.
What is 2 unknown variables.
The constant placed over a non-repeating, linear factor
What is A in
A/(ax+b)
The form
Ax^2+By^2=C
What is non-linear form?
The count of points that satisfy this inequality constraint?
x+y>1
What is infinitely many?
Operation Berlin Airlift was a scenario in which the Western Allies applied linear programming to maximize supplies delivered to Berliners after this country had blockaded the city?
What is the Soviet Union?
The form Ax+By=C
What is linear form?
The number of unknown constants in a partial fraction decomposition with 3 unique, non-repeating linear factors.
What is 3 unknown constants in the form
A_1/(a_1x+b_1)+A_2/(a_2x+b_2)+A_3/(a_3x+b_3)
The number of solutions to
x^2=16
What is 2? (specifically, x=4 and x=-4).
The number of inequality constraints in this system?
2x+3y\geq12
x-y\leq1
What is 2?
This crucial function is the target of maximization or minimization in a linear programming problem.
What is the objective function?
The relationship between two lines with no intersection (and no solutions to the linear system).
What are parallel lines?
The number of unknown constants in a partial fraction decomposition with 1 unique linear factor to the 2 power (i.e., a linear factor repeated twice).
What is 4? In the form
(Ax+B)/(ax+b)+(Cx+D)/(ax+b)^2
The equation for area of a rectangle with length x and width y?
What is
A=x*y
In the case of the inequality constraint below, the _____ itself is not a part of the solution.
2x-3y>6
What is line or boundary or frontier?
According to a theorem proved during World War II, the solutions to a linear programming problem will be one of these.
What are a corner or vertex?
The relationship between two lines with infinitely many intersections (and infinitely many solutions).
What are redundant linear equations?
The number of non-repeated linear factors in this fraction
(x^2+12)/((x-3)(x+7)^2)
What is 1 non-repeated linear factors? (specifically (x-3)). The factor (x+7) is repeated twice.
To solve a system of non-linear equations given this expression, we set this unknown equal to 6.
x^2+6y^2-24=Ax^2+By^2+C
What is B?
The fact that the test point (0,0) makes a particular inequality constraint false has this implication.
What is (0,0) not in the solution set?
This word that starts with the letter "v" indicates a point where 2 or more inequality constraints intersect.
What is vertex?
A method of eliminating unknowns by multiplying both sides of an equation by the same nonzero constant and adding to another equation.
What is the addition method for solving a linear system of equations?
The discriminant of a quadratic equation.
What is
b^2-4ac
An equation in this form
(x-h)^2+(y-k)^2=r^2
What is the equation of a circle with center at (h,k) and radius of r.
The points that satisfy this inequality constraint
x^2+y^2<1
What are all the points inside a circle centered at (0,0) with a radius of 1?
The vertical axis intercept of this inequality constraint
20x+10y\leq80,000
What is 4,000?