If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function? a. g(x) = (x + 12)2 b. g(x) = (x – 12)2 c. g(x) = x2 – 12 d. g(x) = x2 + 12

Evaluate 8j -k+148j−k+14 when j=0.25j=0.25 and k=1k=1.

Which of the following statements are true? (select all that apply.) a quasi-static process is one in which the system is never far from being in equilibrium. when a system can go from state 1 to state 2 by several different processes, the amount of heat absorbed by the system will be the same for all processes. the internal energy of a given amount of an ideal gas depends only on its absolute temperature. when a system can go from state 1 to state 2 by several different processes, the work done on the system will be the same for all processes. when a system can go from state 1 to state 2 by several different processes, the change in the internal energy of the system will be the same for all processes. for any substance that expands when heated, its cp is greater than its cv.

If the equation of a perpendicular bisector of a triangle is y = 2x + 7, what is the slope of the side that it is bisecting? explain how you know.