chapter 6&7
Across
- 5. A formula for determining the roots of a quadratic equation in the form.ax + bx+ c= o, where a≠0; the quadratic formula is written using the coefficients of the variables and the constant in the quadratic equation that is being solved.this formula is derived from ax+ bx + c= 0 by isolating x.
- 8. The shape of the graph of any quadratic relation.
- 14. A connected set of numbers. In a continuous set, there is always another number between any two given numbers. Continuous variables represent things that can be measured, such as time.
- 15. A root of a quadratic equation that does not lead to a solution that satisfies the original problem.
- 17. Consisting of separate or distinct parts. Discrete variables represent things that can be counted, such as people in a room.
- 18. A linear inequality is a relationship between two linear expressions in which one expression is less than (<), greater than (>), less than or equal to (<=),or greater than or equal to (>=) the other expression.
- 20. The set of all possible solutions.
- 21. The greatest value of the dependent variable in a relation.
- 22. The least value of the dependent variable in a relation.
- 23. In an optimization problem, the equation that represents the relationship between the two variables in the system of linear inequalities and the quantity to be optimized.
- 24. A mathematical technique used to determine which solutions in the feasible region result in .the optimal solutions of the objective function.
Down
- 1. The solution region for a system of linear inequalities that is modeling an optimization problem.
- 2. In a function, a value of the variable that makes the value of the function equal to zero.
- 3. The part of the graph of a linear inequality that represents the solution set; the solution region includes points on its boundary if the in equality has the possibility of equality.
- 4. A polynomial equation of the second degree; the standard form of a quadratic equation is :ax^2+ bx +c=0
- 6. A relation that can be written in the standard form y= ax+ bx+ c, where a≠0.
- 7. A set of two or more linear inequalities that are graphed on the same coordinate plane the intersection of their solution regions represents the solution set for the system.
- 9. A point in the solution set that represents the maximum or minimum value of the objective function.
- 10. A limiting condition of the optimization problem being modelled, represented by a linear inequality.
- 11. The region on one side of the graph of a linear relation on a Cartesian plane.
- 12. The values of the variable that make an equation in standard form equal to zero. These are also called solutions to the equation. These values are also the zeros of the corresponding function and the x-intercepts of its graph.
- 13. A problem where a quantity must be maximized or minimized following a set of guidelines or conditions.
- 16. The point at which the quadratic function reaches its maximum or minimum value.
- 19. A line that separates a 2-D figure into two identical parts. For example, a parabola has a vertical axis of symmetry passing through its vertex.