Rewrite with only sin x and cos x. sin 3x - cos x
a. 2 sin x - sin^3x - cos x
b. 2 sin x cos^2x + sin x - 2 sin^3x - cos x
c. 2 sin^3x cos^4x + 1
d. 3 sin x cos x - sin^3x - cos x

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

You are at a restaurant and owe $56.20 for your meal. you want to leave an 18% tip. approximately how much is your tip?

Billy plotted −3 4 and −1 4 on a number line to determine that −3 4 is smaller than −1 4 is he correct? explain why or why not?