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  • John Rhodes
  • June 21, 2023
  • Calculus

How To Use Slope-Intercept Form In Two-Dimensional Space To Plot And Calculate Line Equations

Slope Intercept Form y=mx+b Slope-intercept form is a standard mathematical equation used to express the equation of a line in two-dimensional space. It is written in the...
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  • John Rhodes
  • June 21, 2023
  • Calculus

The Point Slope Form: A Guide To Writing Linear Equations Using A Given Point And Slope.

Point Slope Form y-y₁=m(x-x₁) The point slope form is a linear equation that relates a line to a point on the line and the slope of the...
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  • John Rhodes
  • June 21, 2023
  • Calculus

The Discriminant Formula For Quadratic Equations And Its Role In Predicting Solutions.

Discriminant b²-4ac The discriminant is a mathematical concept used in quadratic equations. It is a formula used to determine the nature of the solutions of a quadratic...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Quadratic Equations With Two Real Roots: The Discriminant

If b²-4ac > 0 There are 2 real roots If $b^2-4ac>0$, then the quadratic equation $ax^2+bx+c=0$ has two real roots. To understand this, let’s start with the...
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  • John Rhodes
  • June 21, 2023
  • Calculus

The Discriminant: How To Determine If A Quadratic Equation Has Real Solutions

If b²-4ac < 0 There are no roots If b²-4ac < 0, then the quadratic equation ax² + bx + c = 0 has no real solutions....
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  • John Rhodes
  • June 21, 2023
  • Calculus

Quadratic Equations: When B² – 4Ac = 0 Yield Only One Real Root

If b²-4ac = 0 1 real root If the equation b²-4ac = 0, where a, b, and c are constants, it means that the quadratic equation ax²...
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  • John Rhodes
  • June 21, 2023
  • Probability

Independent Events In Probability Theory: Examples And Definition

Independent Event When one event does not have an effect on another event In probability theory, independent events are events that do not affect the probability of...
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  • John Rhodes
  • June 21, 2023
  • Probability

Dependent Events In Probability Theory: A Comprehensive Guide

Dependent Event When one event does have an effect on the another event A dependent event is an event in which the outcome of one event is...
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