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An algebraic expression.

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Anonymous

4y ago

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What is the standard form of linear function?

The standard form of a linear equation in n variables is a1x1 + a2x2 + ... + anxn = b. The ai and b are constants and the xi are variables.


What is standard form in a linear equation?

ax+by = c where a,b,c are constants and x,y are variables.


Is a collection of numbers variables and mathematical operators?

Yes, a collection of numbers, variables, and mathematical operators can be considered a mathematical expression or equation. In this context, numbers represent constants, variables symbolize unknown values that can change, and operators (such as addition, subtraction, multiplication, and division) indicate the relationships or operations performed among the numbers and variables. Together, they form the basis for mathematical reasoning and problem-solving.


What are 5 forms of equations of lines?

Standard form: ax + by + c = 0 (a, b, c constants, x and y variables)Slope intercept form: y = mx + c (m, c constants, x and y variables)Two points form: given P = (a, b) and Q = (c, d)(y - b)*(x - a) = (d - b)*(c - a ) (a, b, c, d constants, x and y variables)Parametric equation x = a + r*cos(t), y = b + r*sin(t) (a, b, t constants, x and y variables)X = A + k*B (X, A and B vectors, k scalar, X and k variables).The standard form, parametric equation and vector form have simple analogies for 3 or more dimensions.


When can you say that the equation is linear?

An equation is linear when it contains only variables of degree 1 and constants. ALL linear equations will be of the form: a1x1+a2x2+a3x3+...+anxn=c where an and c are constants.


What does it mean if a function is a polynomial?

It means that it has constants and variables that has a form of something like 7x2+2x+5 or something like that. Variables can not be used as exponents though, and exponents have to be whole numbers. Also, variables can not be a denominator.


What is the general form of linear equation in two variable?

ax + by + c = 0 where x and y are the variables, a, b and c are numerical constants.


Is a combination of constant and variables involving at least one of the basic operations?

Yes, a combination of constants and variables can involve basic operations such as addition, subtraction, multiplication, and division. For example, an expression like (3x + 5) combines the constant (5) with the variable (x) using addition. Similarly, (2y - 4) includes a constant (4) and the variable (y) with subtraction. These combinations form algebraic expressions used in various mathematical contexts.


What is a straight line graph?

It is the graphical representation of a linear relationship between two variables. In its most general form, the relationship is of the form a1x1 + a2x2 + ... + anxn + c = 0 where x1, x2 etc are variables, and the as are constants. This equation would be a straight line in n-dimensional space. In 2-dimensional space, and renaming the variables, you get ax + by + c = 0 where x and y are the variables and a, b and c are constants. This equation can be expressed in the form y = mx + d where m and d are constants. m is called the slope or gradient. For every increase of 1 unit in x, you will get an increase of m units in y. Also, d is called the intercept and it represents the value of y when x is 0.


What are the steps in knowing whether an equation is a linear function?

it depends, what form is the equation written in? write it with variables though, instead of constants, and I'll try to get back to ya


What is an equation that shows a scientific relationship between some constants or variables?

Mathematics .a.a number usually expressed in the form a/b.b.a ratio of algebraic quantities similarly expressed.


What is the equation for a linear inequality?

A linear inequalty may be of the form a1x1 + a2x2 + ... + anxn < bwhere the ai and b are constants and the xi are variables. The inequality symbol can be <, >, ≤ or ≥.