Use Gauss-Jordan elimination to nd the general solution for the following system of linear equations: z2 + 3z3 z4 = 0 z1 z2 z3 + z4 = 0 2z1 4z2 + 4z3 2z4 = 0 (b) Give an example of a non-zero solution to the previous system of linear equations. (c) The points (1; 0; 3), (1; 1; 1), and (2;1; 2) lie on a unique plane a1x1 + a2x2 + a3x3 = b. Using your previous answers, nd an equation for this plane. (Hint: think about the relationship between the previous system and the one you would need to solve in this question.)

Question 1(multiple choice worth 1 points)(07.06 mc)a group of students must collect at least $150 to organize a science fair. they have already collected $30. which graph best represents all remaining amounts of money, in dollars, that thestudents should still collect to organize the science fair? -210 -180 -150 - 120 -90-60 -300306090 120 150 180 210-210 -180 -150 - 120 -90 -60 -30 0 30 60 90 120 150 180 210-210 -180-150 - 120 -90-60-300 30 60 90 120 150 180 210-210 -180 -150 - 120.90 -60 -30 0 30 60 90 120 150 180 210

Pam buys a sleeve of ball bearings for her skateboard. each of the bearings is 1 1/5 inches wide. the sleeve is 9 3/5 inches long. how many ball bearings are in the sleeve? show your work.

What is the area of the trapezoid shown ?