The graph shows the path that karis bicycles on thursday. each unit represents 1 mile. she bicycles north, then east, then south, and finally west to return to the same starting point at (1, 3). on saturday, karis starts at (1, 3), but bicycles 4 more miles north and 5 more miles east, along a similar rectangular path. she determines that she rode an additional 4+5=9 miles. is karis correct?

If f(x)=3x+1 and f^-1=x-1/3, then f^-1(7)=

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?

Find the maximum value of p= 4x + 5y subject to the following constraints :