Teresa graphs the following 3 equations: y=2^x, y=x^2+2, and y=2x^2. she says that the graph of y=2^x will eventually surpass both of the other graphs. is teresa correct? why or why not? a. teresa is correct. the graph of  y=2xy=2x  grows at an increasingly increasing rate, but the graphs of  y=x2+2y=x2+2  and  y=2x2y=2x2  both grow at a constantly increasing rate. therefore, the graph of  y=2xy=2x  will eventually surpass both of the other graphs. b. teresa is not correct. the graph of  y=2xy=2x  grows at an increasing rate and will eventually surpass the graph of  y=x2+2y=x2+2.however, it will never surpass the graph of  y=2x2y=2x2  because the  yy-value is always twice the value of  x2x2.c. teresa is not correct. the graph of  y=2x2y=2x2  already intersected and surpassed the graph of  y=2xy=2x  at  x=1x=1.once a graph has surpassed another graph, the other graph will never be higher.

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. which graph represents the set of heights that satisfy this requirement?

Which expression is equivalent to7_/x^2 ÷ 5_/y^3? assume y# 0