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  2. System of linear equations - Wikipedia

    en.wikipedia.org/wiki/System_of_linear_equations

    When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set. For linear equations, logical independence is the same as linear independence. The equations x − 2y = −1, 3x + 5y = 8, and 4x + 3y = 7 are linearly dependent. For example ...

  3. Slope - Wikipedia

    en.wikipedia.org/wiki/Slope

    Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.

  4. Cramer's rule - Wikipedia

    en.wikipedia.org/wiki/Cramer's_rule

    In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. It expresses the solution in terms of the determinants of the (square) coefficient matrix and of matrices obtained from it by replacing one column by the ...

  5. Quadratic equation - Wikipedia

    en.wikipedia.org/wiki/Quadratic_equation

    In mathematics, a quadratic equation (from Latin quadratus 'square') is an equation that can be rearranged in standard form as [1] + + =, where the variable x represents an unknown number, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic.)

  6. US Border Patrol agents warned of alleged revenge attack ...

    www.aol.com/news/us-border-patrol-agents-warned...

    Mexican cartel leaders have allegedly put out a hit against US Border Patrol along the San Diego sector after one of their members was run over by an agent, according to a new report.

  7. Previewing every college football conference championship ...

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    Big 12: Arizona State (10-2) vs. Iowa State (10-2) This is a win-and-in matchup for a pair of 10-win teams that took slightly different routes to the title game.

  8. La Niña Still Expected To Emerge; Although Weak, There ... - AOL

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    A weak La Niña is favored to develop. NOAA says there is a 59% chance the criteria for La Niña conditions will be met by the end of January 2025.

  9. Slope field - Wikipedia

    en.wikipedia.org/wiki/Slope_field

    The slope field can be defined for the following type of differential equations y ′ = f ( x , y ) , {\displaystyle y'=f(x,y),} which can be interpreted geometrically as giving the slope of the tangent to the graph of the differential equation's solution ( integral curve ) at each point ( x , y ) as a function of the point coordinates.

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