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.
This could be any fraction where the denominator and the numerator are different. For example, 1/2, 3/7, 15/8......and so on. In algebraic terms this would be written x/y where x ≠ y
y = 1. When the degree of your numerator is the same with the degree of your denominator, then y = the ratio of the leading coefficients of the numerator and denominator is the horizontal asymptote.
The quotient of a reciprocal would equal the numerator squared divided by the denominator squared. i.e. (x/y)/(y/x) = x2/y2
This is because whether a function has a vertical asymptote (VA) or not is not affected by the numerator. The denominator is where the VA originates when you try to divide by 0. For example, y=x/(x-1) and and y=1/(x-1) BOTH have VAs when the denominator is equal to zero. x-1=0 when x=1, so that's where the VA is, regardless of the numerator.
5Y/5 The factor 5 appears in both numerator and denominator so it can be eliminated. = Y ===
For a quotient x/y , then its log is logx - log y . NOT log(x/y)
Not quite. The log(x/y) = log(x) - log(y) In words, this reads "The log of a quotient is the difference of the log of the numerator and the log of the denominator."
The numerator is 5x and denominator 6y 5x times 6 y = 30 xy = 270 xy = 9 thus x = 9 and y = 1 or x = 1 and y = 9 is only solution 45/6 is the fraction, or 5/54
Divide the numerator of the original fraction y its denominator.
When you write a division as one number above (or before) another, with a line between them, then the number on the top is the numerator. So, in the division x/y, x is the numerator. y is called the denominator.
This could be any fraction where the denominator and the numerator are different. For example, 1/2, 3/7, 15/8......and so on. In algebraic terms this would be written x/y where x ≠ y
y = 1. When the degree of your numerator is the same with the degree of your denominator, then y = the ratio of the leading coefficients of the numerator and denominator is the horizontal asymptote.
It should also be a positive number. Let x be the numerator and y be the denominator. So you have +x/+y, the reciprocal would be +y/+x.
If the mixed number is xy/z then the corresponding quotient is (xz + y)/z. The denominator is the same. The new numerator is the denominator times the integer part PLUS the old numerator.
The quotient of a reciprocal would equal the numerator squared divided by the denominator squared. i.e. (x/y)/(y/x) = x2/y2
It is the base raised to the exponent used in the numerator minus the exponent for the denominator. That is, a^x / a^y = a^(x-y)
The inverse of a fraction is simple the result of flipping it's denominator with its numerator. It is equivalent to the statement (x/y)^-1 = y/x