12. Find the equation of the parabola that passes through the points (2, 127), (3,141), and (5,73). Use a system of equations and matrices for full credit. Leave your answer in the form y = ax? + bx+c.

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 (%).

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Select all of the following expressions that are equal to 2.5.