Monica is growing carrots and tomatoes in a community garden. She has a total of 250 ft2 to grow them in. She wants to use more area for tomatoes than for carrots, but she doesn't want to
use more than 160 ft2 for tomatoes. What is the maximum area Monica can use for carrots?

Without graphing the linear functions, find the coordinates of the point of intersection of their graphs: y=3x−11 and y=4

Which of the following is the explicit rule for a geometric sequence defined a recursive formula of a -5a for which the first term is 23?

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.