Verify that the given value is a solution for the trigonometric equation by showing that it makes the equation true:

1. 2 cos^2 x-cos x=0; 2π/3

2. 2 cos^2 x-cos x=0; 0

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