Just put down no solution. It's unsolvable.
Answer:
Scale factor of cube to the smaller cube is 5 : 3.
Step-by-step explanation:
Ratio of the volumes of two cubes =
=
=
Scale factor of these cubes =
=
=
=
= 5 : 3
Therefore, scale factor of cube to the smaller cube is 5 : 3.
To find the inverse of the the function, it must be arranged in such a way that the independent variable be on the left side and the dependent variable on the right. So,f(x) = y = 3x/ (8 + x)y (8 + x) = 3x8y + xy = 3x8y = 3x - xy8y = x (3 - y)8y / (3-y) = xx = 8y / (3 -y)
Therefore,f-(x) = f(y) = x = 8y/ (3 - y)
Answer:
The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is .
Step-by-step explanation:
As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:
Where:
, - Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.
- Least distance of directrix with respect to vertex, dimensionless.
Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:
Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is .