15. Min-Ji injured her elbow during a varsity softball game. Her doctor has recommended physical therapy several times a week. Min-Ji's parents want to plan for the potential cost of therapy over
the course of a month. They pay $150 a month for insurance and then another $30 fee each time
Min-Ji goes to physical therapy.
a. What equation models the total fees for physical therapy?

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

Consider 6x2 + 6x + 1. which term immediately tells you that this expression is not a perfect square trinomial? justify your answer

What value of x is in the solution set of 4x - 12 s 16 + 8x? -10 -9 -8 -7