Which of the following is a linear function? an xy coordinate plane is drawn. a parabolic curve that opens to the right is drawn. the vertex of the curve is on the axis. an xy coordinate plane is drawn. an ellipse is drawn on the axis and partially cutting the y-axis. an xy coordinate plane is drawn. a straight line going to left of the origin from the third quadrant to the first quadrant is drawn. an xy coordinate plane is drawn. a straight line starts from the origin and slants down to a certain point in the first quadrant, then is horizontal, and then slants down. all the line segments are straight lines in the first quadrant.

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. 4x^2 + 20x + 25 = 0

4. bob solved the inequality problem below incorrectly. explain his error and redo the problem showing the correct answer. −2x + 5 < 17 −2x + 5-5 < 17-5 -2x/-2 < 12/-2 x < -6

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)