In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x- intercepts in the graph of g(x) = -x2 +7. Be sure to include the transformations that occurred between the parent function
f(x) and its image g(x).

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

Acaterer charges $500 plus $30 per guest to cater a wedding. walt and traci don't want to spend more than $8000 on catering. write and solve an inequality in terms of the number of guests, g, that can be invited. a) 30g ? 8000; g ? 267 b) 500g < 8000; g < 16 c) 500 + 30g < 8000; g < 250 d) 500 + 30g ? 8000; g ? 250

What is the area of the original rectangle? 8 cm² 20 cm² 25 cm² 40 cm²