The sum of two rational numbers is -8 1/4. if one of the numbers is -5 2/3, find the other number.

  -2 7/12

Step-by-step explanation:

Let x represent the unknown number.

  x + (-5 2/3) = -8 1/4

Adding 5 2/3 to both sides of the equation tells us ...

  x = 5 2/3 -8 1/4 = -2 7/12

The other number is -2 7/12.

The difference can be found as ...

  -(8 1/4 -5 2/3) = -(8 3/12 -5 8/12) = -((8 -5) +(3/12 -8/12)) = -(3 -5/12)

  = -(2 7/12)

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

the answer is $42.96

step-by-step explanation: