In this video, the teacher discusses capital structure ratios, specifically focusing on capital gearing ratio and proprietary ratio. The teacher explains the formulas and provides an example to help students understand these ratios. The...

In this video, I discuss the difference between formal and informal writing. I give an example of each and then go through a bunch of tips and tricks to write formally. If you follow the information in this video, your writing will sound...

In this video, the teacher explains how to solve a system of a quadratic and linear equation using substitution. They review the concept of a system of equations and the process of substitution. The teacher then guides the viewers...

This video explains the concept of geometric sequences and their relationship to exponential functions. It covers the explicit rule for geometric sequences, how to find specific terms in the sequence, and how to graph the sequence on a...

In this lesson, students will learn to compare the outcomes of fraction multiplication with decimal multiplication by computing with fraction decimal equivalents. They will review the process of multiplying fractions and then learn how...

Learn that by using signed number operations and aligning like terms, you can easily add the coefficients of each pair of terms. The video emphasizes that addition of numbers with negative signs can be written in either order. Overall,...

Exponentiation is shorthand for repeated multiplication, just like multiplication is shorthand for repeated addition. Multiplied or divided exponential terms with like bases can be combined by adding or subtracting their exponents.

In this lesson, students will learn about vertical translations of linear equations. They will explore how these translations affect the graph and algebraic representation of the equations. By understanding the similarities and...

How is scientific enquiry carried out in practice? Before a hypothesis is accepted by the scientific community, it goes through a series of steps. This is what we call the scientific method. This method was first devised by Sir Francis...

Learn how to use the French subject pronouns.

In this video, mathematicians learn how to find the center and radius of a circle by analyzing its equation. The video explains the key components of a circle, such as the center and radius, and then breaks down the standard form of a...

An introduction to the field of music theory

In this video, the teacher explains how to factor a quadratic function to find its zeros. They demonstrate the process using examples and highlight common mistakes to avoid.

Solutions to Problem 7.

Samuel E. Abrams is the director of the National Center for the Study of Privatization in Education at Teachers College, Columbia University. He was previously a high school teacher of economics and history for eighteen years. His recent...

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...

In this lesson, we explore the different forms of quadratic functions and how they provide useful information about the function. Specifically, we focus on the factored form of a quadratic function, which allows us to easily identify the...

In this lesson, students will learn how to multiply two positive or two negative integers using a number line. They will explore the commutative property of multiplication and understand that switching the order of factors does not...

In this lesson, students will learn how to find the exact Radian measure of angles without using a calculator. They will recognize special angles as fractions or multiples of π and understand that π radians is only half of a circle. By...

In this video, the teacher explains how to factor a quadratic function to reveal its zeros. They demonstrate the process step by step and provide examples for better understanding.

Solutions to Problem 21.

A quadratic function can be written in general form or in vertex form. But given a quadratic function in one of these forms, how can we convert to the other form? This lecture shows how conversion formulas between these two forms can...

In this video lesson, we explore the concept of fractions and emphasizes that fractions with denominators that are powers of 10 can be written as decimals. Through examples and problem-solving, students will understand how to represent...

In this lesson, students will learn how to identify function properties by examining real-world examples. They will understand that a function takes any input and yields exactly one output. They will also learn about the concept of...