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A special type of equation that expresses a relationship between two or more quantities is called a functional equation. These equations define a function in terms of its values at various points, illustrating how different inputs relate to outputs. Examples include equations like ( f(x+y) = f(x) + f(y) ), which describe the additive properties of functions. Such equations are important in various fields, including mathematics, physics, and economics.

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Why was there a need to invent linear equation in two variables?

If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.


What is a ratio that expresses the same relationship between two quantities?

A ratio that expresses the same relationship between two quantities is a simplified or equivalent ratio. For example, if the ratio of apples to oranges is 2:3, then 4:6 or 6:9 also express the same relationship because they maintain the same proportionality. Ratios can be scaled up or down by multiplying or dividing both terms by the same non-zero number, preserving their relative relationship.


Does The strength of the correlation between two variables A regression equation is a mathematical equation that defines the relationship between two variables?

Yes, the strength of the correlation between two variables indicates how closely they are related, typically measured by the correlation coefficient. A regression equation mathematically describes this relationship, allowing for predictions about one variable based on the other. While correlation assesses the strength and direction of the relationship, regression quantifies it and expresses it in a functional form. Thus, both concepts are interconnected in analyzing relationships between variables.


What is the difference between equations and proportions?

A proportion is generally multiplicative relationship between two measures of a quantity. An equation is a mathematical statement that relates two quantities. The quantities may contain a number of expressions, with each expression comprising a number of numerical constants, variables and functions.


Does a rate compare quantities in division or multiplication?

A rate compares quantities in division. It expresses one quantity in relation to another, often in terms of per unit, such as miles per hour or price per item. This division allows for the comparison of different units or measures, providing a clearer understanding of the relationship between the two quantities.

Related Questions

What is an equation that expresses a relationship between two or more quantities?

an equation that expresses a relationship between two or more quantities


An equation that expresses a relationship between measurements?

A formula is an equation that expresses a relationship between measurements.


What is an Equation that expresses a relationship between measurements?

A formula is an equation that expresses a relations hip between measurements.


Why was there a need to invent linear equation in two variables?

If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.If two variables are related, then the simplest relationship between them is a linear one. The linear equation expresses such a relationship.


What compares or shows the relationship between two quanities?

A ratio expresses the relationshp between two quantities.


What is an equation that expresses a relationship between more than one variable?

a formula


What expresses the same relationship between two quantities?

A straight line graph - is one possible answer.


What is a general equation that expresses the relationship between permuation nPr and combination nCr?

nCr = nPr/r!


What is a mathematical sentence that shows the relationship between quantities that are nit equivalent?

It is any equation which is not an identity.


In a line graph each pair of numbers expresses a relationship between two what?

Quantities, measurements. For example, distance and time, volts and amperes, days worked and salary earned, etc — any two quantities in a linear relationship.


What is a ratio that expresses the same relationship between two quantities?

A ratio that expresses the same relationship between two quantities is a simplified or equivalent ratio. For example, if the ratio of apples to oranges is 2:3, then 4:6 or 6:9 also express the same relationship because they maintain the same proportionality. Ratios can be scaled up or down by multiplying or dividing both terms by the same non-zero number, preserving their relative relationship.


How are the relations between quantities be stated?

The relations between quantities are stated by multiplicative relationship between the quantities.