Functions on a Cartesian Plane - Page 6

Questions
  • Suppose #x# varies directly as both #y# and #z# (and #y# and #z# vary inversely with each other. If #x=6# when #y=6# and #z=123#, what is the value of #z# when #x=7# and #y-8#?
  • If #y# varies directly with #x# and #y = 12# when #x = -4#, what is #y# when #x = -3#?
  • How do you solve the equation for #y# in the equation #4x - 2y = 6#?
  • Can anyone teach me cartsian coordinates fully?please?
  • Starting at (0,0) if you were to go 7 units down and 4 units left what coordinates would you end up at? What quadrant would you be in?
  • What is a value of #x# that makes the relation #{(2, 4), (3, 6), (8, x)}# a function?
  • How do you solve #-4(3-6d)=9(2d-2)#?
  • Paper airplane follows the path #y=-2x^2+20x+1# where y represents the height of the paper airplane in feet and x represents the seconds it has traveled. what is the time before the airplane will reach 15 feet?
  • How do you write the piecewise function for |f(x)| and f(|x|) if, for example, its f(x)=X^2-9?
  • How to determine whether vector a = (-1,2,1) , b = (4,-1,1) and c (2,3,-1) lie in the same plane ?
  • If #f(x)=2x+7#, what is #f^-1(x)#?
  • How do you solve #4+y=16#?
  • How do you evaluate #w=3, x=6, y=5,# and #z=9# for #13y+wx#?
  • How you determine the parametric equation of a line with the cartesian equation #ax+by+cz + d = 0 ; a'x+b'y+c'z + e = 0# and vice versa ?
  • Does the equation #x^2+y^2=1# describe a function?
  • We have #f,g:[-1,1]->RR# two continous functions. How to demonstrate that if exist #a,b in[-1,1],a<b# such that #f(a)=g(b)# and #f(b)=g(a)# then exist #uin[-1,1]# such that #f(u)=g(u)#?
  • If #f(x) = 2x+|x-4|#, what is #f(a)# when #a<4#?
  • Is #f(x) = (x +1)^3# a linear function?
  • Keith determines the zeros of the function #f(x)# to be -6 and 5. What could be Keith's function?
  • How can you represent #5x=1# on the #xy-#plane?