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?

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.