The model represents a polynomial and its factors.

An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled + x and 3 are labeled negative. 2 tiles are in the Factor 2 spot: 1 is labeled + x and 1 is labeled negative. 8 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, and 3 are labeled +.

Which equation is represented by the model?

x2 – 2x – 3 = (x – 3)(x + 1)

x2 – 4x + 3 = (x – 3)(x – 1)

x2 + 2x + 3 = (x + 3)(x – 1)

x2 + 4x – 3 = (x + 3)(x + 1)

Jose predicted that he would sell 48 umbrellas. he actually sold 72 umbrellas. what are the values of a and b in the table below? round to the nearest tenth if necessary

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.

On traditional maps, earth is represented in a flat plane, or by euclidean geometry. however, a globe is a more accurate model that comes from elliptical geometry. how does a globe represent the fact that there are no parallel lines in elliptical geometry? the equator is not parallel to any other latitudinal lines. the north and south poles are never connected by a geodesic. the geodesics connecting the north and south poles never intersect. the geodesics connecting the north and south poles intersect at both of the poles.