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What similarities and differences do you see between functions and linear equations studied in Ch 3 Are all linear equations functions Is there an instance in which a linear equation is not a funct?
Wiki User
∙ 13y ago
Assuming you work with two variables (like x and y) only: if the graph is a vertical line, e.g. x = 5, then it is not a function. Otherwise it is.
Wiki User
∙ 13y ago
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How are linear equations and functions alike and how are they different?
A linear equation is a special type of function. The majority of functions are not linear.
What are the similarities between linear relationships and quadratic relationships?
All linear equations of the form y = mx + b, where m and b are real-valued constants, are functions. A linear equation of the form x = a, where a is a constant is not a function. Functions must be one-to-one. That means each x-value is paired with exactly one y-value.
What is the differences and similarities between equations and expressions?
Expressions are: General little statements that DO NOT have an equal sign: 2x-4 2m^3+5 Seven less than half a number squared Twice the difference of a number and five. Equations are: Any statement that DOES have an equals sign(or equivalent): 4n+7=11 1/2 b-2=3 Twice a number increased by four is ten The difference of a number and two is five Equations and expressions are similar because they both have a value. Equations and expressions are different because a equation is on sentence, and an expression is a phrase. An equation has a relation symbol, and a equation has no relation symbol. Example for equation: 1. 10 is five less than a number. 10=x-5. 2. A number is less than five. x<5. Example for expression: 1. A number less than five. x. 2. Five less than a number. x-5.
What video game uses parametric equations?
Parametric equations are a way of expressing the points of a curve as the function of a set parameter. Any game that displays modern scaling graphics using a form of parametric equation.
How do you factor 9x squared-18?
I hope you mean x3+2x2-9x+18. Treat the equation like two equations: x3+2x2 and 9x+18. Factor out x2 from the first equation, so x2(x+2). Factor out 9 from the second equation, so 9(x+2). Now, the whole equation. x2(x+2)-9(x+2). Factor out (x+2), so (x+2)(x2-9). (x2-9) factors into (x+3)(x-3). So, (x+2)(x+3)(x-3) is the complete factorization. Hope this helps.
Are all linear equations functions Is there an instance when a linear equation is not a function?
Linear equations are always functions.
When can two equations be equal?
Two equations are equal when the result of the functions of the numbers and variables of one equation match the results of the other equation.
Why is function and linear equation difference?
Functions and linear equations are the same in that they both deal with x and y coordinates and points on a graph but have differences in limitations, appearance and purpose. Often, functions give you the value of either x or y, but linear equations ask to solve for both x and y.
How are linear equations and functions alike and how are they different?
A linear equation is a special type of function. The majority of functions are not linear.
How are linear equations similar or different from functions?
A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.
What are the similarities between linear relationships and quadratic relationships?
All linear equations of the form y = mx + b, where m and b are real-valued constants, are functions. A linear equation of the form x = a, where a is a constant is not a function. Functions must be one-to-one. That means each x-value is paired with exactly one y-value.
What is oscillatory solution in differential equations?
It happens when the solution for the equation is periodic and contains oscillatory functions such as cos, sin and their combinations.
What are solutions of trigonometric equations?
That means the same as solutions of other types of equations: a number that, when you replace the variable by that number, will make the equation true.Note that many trigonometric equations have infinitely many solutions. This is a result of the trigonometric functions being periodic.
What are the similarities and differences between equation and inequalities?
An equation has a defined answer. An inequality can have a range of answers. 2x=46 x must be 23. m<1 m can be from 0.999 repeating to -∞.
How does writing equivalent equations help you solve a system of equations?
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.
What are the differences of linear and non-linear equation?
Linear equations have a variable only to the first degree(something to the power of 1). For example: 2x + 1 = 5 , 4y - 95 = 3y are linear equations. Non-linear equation have a variable that has a second degree or greater. For example: x2 + 3 = 19, 3x3 - 10 = 14 are non-linear equations.
What is the name of a mathematics equation with two equations?
A simultaneous equation
