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Because that is how a linear equation is defined!

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Q: Why is the exponent of a variable a determining factor in whether an equation is linear?
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Decide whether the following equation is exponential. Support your answer -3x 4y plus 7 and sup2.?

While this is not the complete definition, an exponential expression has the variable (for example, "x") in the exponent.


How do you solve an equation with a variable that is a fraction?

You solve the equation the same way as you would any other equation. Whether the variable is a fraction or otherwise will only become clear once you solve the equation. In other words, you don't initially KNOW whether the solution will be a fraction or not.


In a experiment?

A control in an experiment is the subject not exposed to the independent variable, thereby determining whether the independent variable is the true cause of the results.


In an experiment what is the manipulated variable in determining whether the distance a skateboard rolls is affected by the skateboard's wheels?

because you are determining whether distance is affected by the wheels, wheels would thus be the manipulated variable. I recommend using different wheel sizes or eeven hardness, but your best bet would be to test size.


Math tell whether the ordered pair is a solution of the equation?

The idea is to replace one variable in the equation by the first number in the ordered pair, the other variable with the second number in the ordered pair, do the calculations, and see whether the resulting expressions are indeed equal.


How do you check whether the equation 7x2x is quadratic?

If it doesn't have an equal sign, then it's an expression, not an equation. The expression 7x2x is quadratic, because it equals 14x², and something is quadratic if it contains the squared exponent ².


Why is the exponent of a variable in an equation a dtermining factor in whether an equation is linear?

When looking at equations from a calculus perspective, one will see that the slope of a line of the graph y = x^2 increases as x increases, whereas y = x has a universal slope over the entire real number line. If the slope increases as x increases, then it cannot be a straight line.


Is the equation P500(1.03) with an exponent of n a model of Growth or Exponential Decay?

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How do you find the value of each variable?

There are various methods which depend on the nature of the equation(s) and whether or not the equations can be solved analytically.


How do you solve -12 is less than or equal to -12?

You normally "solve" something when there is a variable involved. In this case there is no variable. All you have to do is decide whether it is true or false. If this is derived from an original equation (or, in this case, inequality) which involved variables, then if the equation (or inequality) without variables is true, it means it is true for ANY value of the variable. If it is false, the original equation (or inequality) can't be satisfied by any value of the variable.


What is difference in an equation that results an identity and one that results in no solution?

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How do you determine whether a number is a solution of an equation?

Substitute the value found back into the equation, evaluate the expressions and see if the resulting equation is true.