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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.
What else can I help you with?
Why is the exponent of a variable a determining factor in whether an equation is linear?
Because that is how a linear equation is defined!
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.
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.
Is the equation P500(1.03) with an exponent of n a model of Growth or Exponential Decay?
It can be growth or decay - it depends on whether n is positive (growth) or negative (decay).
Why is the exponent of a variable a determining factor in whether an equation is linear?
Because that is how a linear equation is defined!
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.
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.
Is the equation P500(1.03) with an exponent of n a model of Growth or Exponential Decay?
It can be growth or decay - it depends on whether n is positive (growth) or negative (decay).
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.
What is difference in an equation that results an identity and one that results in no solution?
The difference is that one is true for all values of "x" (or whatever variable you use), the other for no value of the variable. It isn't always obvious just by looking at the equation whether is an identity (true for all values of the variable), or whether it has one solution, several solutions, or none. However, if you solve it, you'll soon find that out.
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.
What does it mean to evaluate an equation?
To evaluate an equation means to find the value of the expression on each side of the equation using a specified value for the variable. This process helps determine whether the equation is true or false for that particular value of the variable.
How do you find the gcf and LCM of numbers with variables and-exponents?
For the greatest common factor, you check which variables appear in each of the expressions. In the case of exponents, you take the lowest exponent for each variable. For the least common multiple, you take each variable, whether it appears in all of the expressions involved, or only in some of them. In the case of the exponents, you take the greatest exponent for each variable. If there are numeric coefficients (numbers as products), you take either the gcf or the lcm of those in the usual way.
What is the compares in constant and variable rate of change?
Tell whether the equation -4x+ 2y = -2 represents a direct variation. If so, identify the constant of variation.
