If the product of two numbers is positive, then the two numbers must both be positive. show the conjecture is false by finding the counterexample

Which expression is equivalent to 2x^2+2x-4/2x^2-4x+2

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

Aramp rises 4 feet over a distance of 10 feet. what is the length of the ramp?