Two functions f(x) and f(x+ 1) are continuous on segment [0; 2] and f(0) = f(2). Prove that the equation f(x) - f(x + 1) = 0 has the solution in the segment [0; 1]​

Lines p and q intersect. find the value of b. show your work. cite any theorems you use.

Which shows the correct solution of the equation 1/2a+2/3b=50, when b=30?

Oscar and julie ashton are celebrating their 15th anniversary by having a reception hall. they have budgeted $4,500 for their reception. if the reception hall charges a $90 cleanup fee plus & 36 per person, find the greatest number of people that they may invite and still stay within their budget.