Alady wants to make an open-top box for packing baked goods by cutting equal squares from each corner of an 11 in. by 20 in. piece of cardboard as shown in the diagram. she figures that for versatility the area of the bottom must be 80 in. squared. what size of square should she cut from each corner?

Lets say she cuts squares of x by x in length.

Area of bottom will be (20 - 2x)(11 - 2x) = 80 inches squared

220 - 40x - 22x + 4x^2 = 80

4x^2 - 62x + 140 = 0

x^2 - 15.5x + 35 = 0

Using quadratic equation;

you get x = 2.743753901 0r 12.7562461 inches

The length of the square cannot be more than 11 inches

So the only squares you can cut are:

2.743753901 inches by 2.743753901 inches squares.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

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step-by-step explanation: