Jamie's birthday party costs $7 plus an additional $3 for each guest he invites. How many guests can there be, at most, if jamie can afford to spend a total of $43 on his birthday party _?_ guests

The system of equations graphed below has how many solutions?

What are the coordinates of the point that is 1/3 of the way from a to b? a (2,-3) b (2,6)

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.