The graph shows a dilation of trapezoid TRAP with respect to the origin. Which statements are true about the figures? Select three options.

The factor of dilation is 3/5 .
The ratio of the perimeter of TRAP to the perimeter of T'R'A'P' is 3/5 .
The ratio of the x-coordinate of P’ to the x-coordinate of P is 3/5 .
The ratio of PT to P'T' is 5/3 .
The ratio of the y-coordinate of R’ to the x-coordinate of R is 5/3 .

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12