Lindsay is designing a dog pen. The original floor plan is represented by figure PQRS. Lindsay dilates the floor plan by a scale factor of 1 ··3 with a center of dilation at the origin to form figure P'Q'R'S'. Then she translates figure P'Q'R'S' 4 units to the left and 2 units down. The final figure is P''Q''R'S''. Draw Lindsay’s transformations in the coordinate plane.

Recall the definition of a polynomial expression. find two polynomial expressions whose quotient, when simplified,is. use that division problem to determine whether polynomials are closed under division. then describe how theother three operations-addition, subtraction, and multiplication-are different from division of polynomials.

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

Which of the following is true for the relation f(x)=2x^2+1