Find a basis for the subspace of ℝ3R3 consisting of all vectors ⎡⎣⎢⎢x1x2x3⎤⎦⎥⎥[x1x2x3] such that 4x1+5x2−8x3=04x1+5x2−8x3=0. Hint: Notice that this single equation counts as a system of linear equations; find and describe the solutions.

The dance committee of pine bluff middle school earns $72 from a bake sale and will earn $4 for each ticket they sell to the spring fling dance. the dance will cost $400 write an inequality to determine the number, t of tickets the committee could sell to have money left over after they pay for this year's dance. what is the solution set of the inequality?