IF Y = e ^ (- 3x) then prove that (d ^ 2 * y)/(d * x ^ 2) + (dy)/(dx) - 6y = 0

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

Which of the following three dimensional figures has a circle as it’s base

F(x) = 1/x g(x)=x-4 can you evaluate (g*f)(0) ? why or why not?