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Can a coefficient of a exponent be negative?

Yes, -4x2 is a valid mathematical statement.


How do you use different techniques to solve linear equations?

1. Elimination: Select two equations and a variable to eliminate. Multiply each equation by the coefficient if that variable in the other equation. If the signs of the coefficient for that variable in the resulting equations are the same then subtract one new equation from the other. If they have opposite signs then add them. You will now have an equation without that variable. Repeat will other pairs and you will end up with one fewer equation and one fewer variable. Repeat this process: after each round you will have one fewer equation and one fewer variable. Keep going until you are left with one equation in one variable. Solve that. Then work backwards solving for the other variables.2. Substitution: Select a equation and a variable. Make that variable the subject of the equation. The right hand side of this equation is an expression for that variable. Substitute this expression for the variable is each of the other equations. Again, one fewer equation in one fewer variable. Continue until you are left with one equation in one variable. Solve that. Then work backwards solving for the other variables.3. Matrix inversion: If A is the nxn matrix of coefficients, X is the nx1 [column] matrix of variables and B is the nx1 matrix of the equation constants, then X = A^-1*B where A^-1 is the inverse of matrix A.


What is when two variables are being examined and one variable moves one way and the other variable moves in the opposite direction?

Inverse relationship


Is y equals 2x subtract 3 and 2x subtract 4y equals 8 parallel perpendicular or neither?

y=2x-3 2x-4y=8-4y=-2x+8y=-2/-4x+8/-4y=1/2x-2the equation for slope intercept form is y=mx+bm being the slopeparallel equations would have the same slope (m) andperpendicular equations have opposite reciprocal slopesthe opposite reciprocal of 2 is -1/2the equations are neither parallel or perpendicular.


What is a way to look at how one set of data is related to another is called?

A way to look at how one set of data is related to another is called correlation analysis. This statistical method assesses the strength and direction of the relationship between two variables, indicating whether they move together (positive correlation), move in opposite directions (negative correlation), or have no discernible relationship. Tools such as scatter plots and correlation coefficients, like Pearson's r, are commonly used to visualize and quantify these relationships.

Related Questions

What is the key to using the elimination method to find variable terms in the two equations that have equal or opposite coefficients?

Eliminate the variables that have equal coefficients but opposite in sign.x + 2y = 103x - 2y = 14Or you can work to have one of the variables with equal coefficients but opposite in sign such as:3x + 2y = 5x + y = 2 multiply by -2 to both sides3x + 2y = 5-2x - 2y = -4


True or false The key to using the elimination method is to find variable terms in the two equations that have equal or opposite coefficients?

True


Four steps to the elimination method?

There are four steps in an algebraic elimination problem. These steps are: to find a variable with equal or opposite coefficients, if equal then subtract the equations but if opposite then add, solve one variable equation left, and then substitute known variable into other equation and solve. hi


If coefficients aren't equal or opposite can do a little manipulation so that you can still use the elimination method?

True


If coefficients arent equal or opposite you can do a little manipulation so that you can still use the elimination method?

true


Opposite of conservation?

destruction, elimination, depletion


Can a coefficient of a exponent be negative?

Yes, -4x2 is a valid mathematical statement.


How do you use different techniques to solve linear equations?

1. Elimination: Select two equations and a variable to eliminate. Multiply each equation by the coefficient if that variable in the other equation. If the signs of the coefficient for that variable in the resulting equations are the same then subtract one new equation from the other. If they have opposite signs then add them. You will now have an equation without that variable. Repeat will other pairs and you will end up with one fewer equation and one fewer variable. Repeat this process: after each round you will have one fewer equation and one fewer variable. Keep going until you are left with one equation in one variable. Solve that. Then work backwards solving for the other variables.2. Substitution: Select a equation and a variable. Make that variable the subject of the equation. The right hand side of this equation is an expression for that variable. Substitute this expression for the variable is each of the other equations. Again, one fewer equation in one fewer variable. Continue until you are left with one equation in one variable. Solve that. Then work backwards solving for the other variables.3. Matrix inversion: If A is the nxn matrix of coefficients, X is the nx1 [column] matrix of variables and B is the nx1 matrix of the equation constants, then X = A^-1*B where A^-1 is the inverse of matrix A.


What does the constant variable do?

Variables are not constants. The terms have opposite meaning.


How are the chemical equations for photosynthesis and and aerobic respiration different?

They are opposite to each other .


How are inverse operations used to solve multi-step equations?

because you do the opposite


What are the variables of macroeconomics?

It depends on the way that the subject is modelled as to how many and what are the variables involved. Some models are incomplete and have only a few variables. The smallest model that I know that is comnplete has 19 variables. They are all money flows which are opposite to the value of the goods, services and valuable legal documents that flow in the opposite direction between the same entities.