Please help!
Make an open-top box from a rectangle of cardboard 9 by 15 inches by cutting a square from each corner and folding up the sides. The box needs to have the maximum possible volume.

If each square you cut out of the corner is x by x inches, write an expression or function for the volume of the box, V(x), in terms of x. Show all your work.

Plot the function to find the maximum. Clearly label or state the (x, y) coordinates of the value of x that optimizes the function and the maximum volume (y).

How many pennies would it take to fill the box?

51

step-by-step explanation:

73-22=51 the   mass number minus the amount of protons gives you the amount of neutrons

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be