Aaron and henry had 52 grapes. if aaron ate 11 grapes and gave 5 grapes to henry, he would have 19 fewer grapes than henry. how many grapes did henry have in the beginning?

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1,find(f+g)(x)

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 (%).

Which inequality statement describes the two numbers on a number line? "? 7 and a number 5 units to the right of ? 7"