Even Fibonacci Numbers
Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with $1$ and $2$, the first $10$ terms will be:...
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John Rhodes
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August 15, 2023
Multiples of $3$ or $5$
If we list all the natural numbers below $10$ that are multiples of $3$ or $5$, we get $3, 5, 6$ and $9$. The sum of these...
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John Rhodes
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July 31, 2023
Preserving Row Echelon Form | The Impact of Elementary Row Operations on Matrices
If an elementary row op is applied to a matrix that is in row echelon form, the resulting matrix will still be in row echelon form. Yes,...
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John Rhodes
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July 31, 2023
Why Every Matrix Has a Unique Row Echelon Form | Defining and Proving the Uniqueness of Matrix Forms
Every matrix has a unique row echelon form. To understand why every matrix has a unique row echelon form, we need to clarify the definitions of a...
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John Rhodes
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July 31, 2023
Understanding the Coefficients in Quadratic Functions | Exploring the Shape, Position, and Behavior of Parabolas
f(x)=ax²+bx+c The function f(x) = ax² + bx + c is a quadratic function The function f(x) = ax² + bx + c is a quadratic function....
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John Rhodes
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July 31, 2023
Finding x-intercepts | A step-by-step guide and examples for finding the points where a function intersects the x-axis.
x-intercepts of f(x) The x-intercepts of a function f(x) are the points where the graph of the function intersects the x-axis The x-intercepts of a function f(x)...
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John Rhodes
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July 31, 2023
Mastering Mathematical Operations | Simplifying the Expression xb/2a for Better Understanding and Accurate Calculation
xb/2a The expression xb/2a represents a mathematical operation involving variables x, a, and b The expression xb/2a represents a mathematical operation involving variables x, a, and b....
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John Rhodes
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July 31, 2023
Understanding the Vertex of a Quadratic Function | (-b/2a, f(-b/2a))
(-b/2a, f(-b/2a)) The expression (-b/2a, f(-b/2a)) represents a point on the graph of a quadratic function The expression (-b/2a, f(-b/2a)) represents a point on the graph of...