Ahigh school student has started a new business making and selling bumper stickers. the graph shows the break-even point for the business.

1. identify the following on the graph and explain the meaning of each for the business:
• cost equation
• revenue equation
• break-even point

2. how would the graph change if the price of each bumper sticker was lowered? if the price was increased?

3. what advice would you give this business owner? explain.

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.

68 complete the following proof. given: qk=16, pk=26, mk=65, kl=40prove: ∆qpk~∆lmk

Given: △abc, bc> ac, d∈ ac , cd=cb prove: m∠abd is acute