anonymous
  • anonymous
1) Express (-2x^2-7x-13)/(x^3+4x-3(x^2)-12) in partial fractions. 2) Variables x and y are related by the equation y(e^a)=x^(k-1) where a and k are constants. When the graph of lnxy and lnx is drawn a straight line is obtained. Given that the line passes through (-2,11) and (1,2), find the value of a and k. (Is a=-5 and k=-3?) Thanks!
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
zepdrix
  • zepdrix
\[\Large \frac{-2x^2-7x-13}{x^3-3x^2+4x-12}\]Hmmmmmmmmm were you able to factor it? I'm trying to remember how to factor a cube -_-
anonymous
  • anonymous
hmmmm
anonymous
  • anonymous
u can use splitting the mid term

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
or else synthetic division to factor cubivc polynomials
anonymous
  • anonymous
kkk
anonymous
  • anonymous
i kind of tried factorising and manipulating it and i got 2+((4x^2-15x+11)/(x^3-3x^2+4x-12))
anonymous
  • anonymous
kkk
anonymous
  • anonymous
then group and factorise it
anonymous
  • anonymous
im kinda stuck after this step cause i i do not know how to make it into a partial fraction after this>.<
dumbcow
  • dumbcow
factor by grouping \[(x^{3} -3x^{2})+(4x-12) = x^{2}(x-3) +4(x-3) = (x^{2}+4)(x-3)\] \[\frac{-2x^{2}-7x-13}{(x^{2}+4)(x-3)} = \frac{Ax +B}{x^{2}+4}+\frac{C}{x-3}\]
dumbcow
  • dumbcow
as far as 2nd part of post, you are correct \[\ln (xy) = k \ln x -a\] the line going through 2 points is: y = -3x +5 thus k = -3 a = -5

Looking for something else?

Not the answer you are looking for? Search for more explanations.