Write an expression in fully factored form for the shaded area?

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 number produces an irrational number when multiplied by 1/4

(! ) the figure below shows parallelograms abce, pqrs, and tnlm on a coordinate plane. points s, p, q, and r are midpoints of abce t, n, l, and m are midpoints of pqrs write the equation of line ml. show your work.