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Why must you always be mindful of the final value of the denominator in a rational expression?
The value of the denominator cannot be zero.
Why the Y values are in the numerator and the X-Values are in the denominator?
That is not necessarily so. You can have the X-Values in the numerator and the Y-values in the denominator. The only half-way decent explanation is in the X-values represent an independent variable and the Ys are dependent.
What can be said of an ellipse when the two denominator values in its standard equation are the same?
When the two denominator values in the eclipse standard equation are the same, it can be said to be in foci.
An equation that has terms with variables in the denominator is called?
An equation that has terms with variables in the denominator is called a rational equation. In such equations, one or more of the terms involve fractions where the variable appears in the denominator. This can lead to constraints on the values that the variable can take, as certain values may cause the denominator to equal zero.
How do you know which units of a conversion factor must be in the denominator?
The denominator must contain the unit that you wish to cancel in the numerator of the other number.
Why must you always be mindful of the final value of the denominator in a rational expression?
The value of the denominator cannot be zero.
What values of x gives a denominator equal to 0?
The denominator cannot be 0. A number with denominator 0 is not defined.
Why the Y values are in the numerator and the X-Values are in the denominator?
That is not necessarily so. You can have the X-Values in the numerator and the Y-values in the denominator. The only half-way decent explanation is in the X-values represent an independent variable and the Ys are dependent.
What can be said of an ellipse when the two denominator values in its standard equation are the same?
When the two denominator values in the eclipse standard equation are the same, it can be said to be in foci.
What is called when the denominator is zero in a rational function?
The function is not defined at any values at which the denominator is zero.
What are restricted values?
Restricted values refer to specific values of a variable that cannot be included in the domain of a function due to mathematical constraints. For example, in a rational function, the denominator cannot be zero, so any value that makes the denominator zero is considered a restricted value. Similarly, in logarithmic functions, the argument must be positive, which imposes additional restrictions. Identifying these values is crucial for accurately determining the domain of a function.
The values used with fractions are called?
The numerator and the denominator.
An equation that has terms with variables in the denominator is called?
An equation that has terms with variables in the denominator is called a rational equation. In such equations, one or more of the terms involve fractions where the variable appears in the denominator. This can lead to constraints on the values that the variable can take, as certain values may cause the denominator to equal zero.
How do you know which units of a conversion factor must be in the denominator?
The denominator must contain the unit that you wish to cancel in the numerator of the other number.
What are the values of the variable that must be excluded from the domain x plus 8 over x 4?
Any value of x which causes the denominator to equal zero. It's kind of vague, but if you mean the denominator to be (x raised to the 4th power), then x=0 must be excluded. If you mean (x + 4) then x=-4 will make the denominator equal zero, and if you mean (x-4) then x=4 will make it zero.
What happens to the denominator when you add fractions?
You must find a common denominator. You figure out the smallest number that all of your denominators are divisible by. If you have to multiply the denominators by 2, you must multiply the numerators by 2, then add the numerators together, and write above the common denominator. If you have to multiply one denominator to equal the other denominator, then you must multiply the numerator above that denominator, and finally add up the numerators and place above the common denominator. Then reduce the answer to its smallest fraction.
What number must be added to the denominator of 9 over 16 so that when the numerator is doubled the result is 1?
Doubling the numerator gives 2 × 9 = 18 To have a result of 1, the numerator and denominator must be the same. Thus the denominator needs to be 18. 18 - 16 = 2 → 2 must be added to the denominator.
