What sine function represents an amplitude of 4, a period of pi over 2, no horizontal shift, and a vertical shift of −3?

f(x) = −3 sin 4x + 4
f(x) = 4 sin 4x − 3
f(x) = 4 sin pi over 2x − 3
f(x) = −3 sin pi over 2x + 4

Which equation represents a circle with a center at (–3, –5) and a radius of 6 units? (x – 3)2 + (y – 5)2 = 6 (x – 3)2 + (y – 5)2 = 36 (x + 3)2 + (y + 5)2 = 6 (x + 3)2 + (y + 5)2 = 36

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

What is the answer to this question? i'm a bit stumped. also how do i do it? 5(x - 4) = 2(x + 5)