Find an equation of the largest sphere that passes through the point (−1,1,4) and is such that each of the points(x, y,z) inside the sphere satisfies the equation: x^2 + y^2 + z^2 < 136 + 2(x + 2y + 3z)

Abus ride for a senior citizen cost $1.25. a monthly pass costs $35. write and inequality that represents the number of times a senior citizen must ride the bus for the monthly pass to be a better deal.

You will get 25 points an image of a rectangular prism is shown below: part a: a cross section of the prism is cut with a plane parallel to the base. what is the name of the shape created by the cross section? explain your answer. (5 points) part b: if a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? explain your answer. (5 points)

What are the domain and range of the functiony = 2(x - 3)2 + 4?