Abox shaped like a rectangular prism has a height of 17 in and a volume of 2720 in^3. the length is 4 inches greater than twice the width. what is the width of the box

8 inches

Step-by-step explanation:

You want to find the width (w) in inches such that ...

V = LWH

2720 = (2w+4)·w·17 . . . . . . . . . . fill in the given values

80 = (w+2)(w) = w^2 + 2w . . . . . divide by 34

81 = (w +1)^2 . . . . . . . . . . . . . . . . complete the square

9 = w+1 . . . . . . square root (we only care about the positive solution)

8 = w . . . . . . . . subtract 1

The width of the box is 8 inches.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2