Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)

V(x) = (17 - 2x)(11 - 2x)x

Step-by-step explanation:

We are told that She is making an open top box. This means the box will have only 5 faces.

Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.

Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.

Thus, measurement of width from the 11 inches paper = (11 - 2x)

Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;

(17 - 2x)

Now,recall that a side of the square is x.

Thus, the depth is x.

Now, volume of a box is given by;

V = length x width x depth

Thus, in this case;

V(x) = (17 - 2x)(11 - 2x)x

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4