(show all work) 1. find f(6) if f(x)= 1/2x + x - 4

2.find the distance between (2,-4) and (5, -8)

3. what is the vertex of the parabola when the equation is y= (x+3)^2-1

Which graph represents the following piecewise defined function?

Problem fathi wants to print out a pdf document that is 48 pages long. to save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet. how many sheets of paper will he need?

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).