Thomas buys a cardboard sheet that is 12 by 8 inches. Create an equation for this situation, find the zeros, and sketch the function.
there are no zeros. All you have is 8*12
uiguy
7744
A graph of the function?
Spaghetti
V= (96 - 40x + 4x^2) x = 96x - 40x^2 + 4x^3
V=(12-2x)(8-2x)(x)
The zeroes of x (12 - 2x) (8 -2x) = 0
are x=0, x=4 and x=6
To create an equation for this situation, we are given that Thomas buys a cardboard sheet that measures 12 by 8 inches.
Let's assume that the length of the cardboard sheet is represented by "L" and its width is represented by "W". Therefore, we have:
L = 12 inches
W = 8 inches
Now, we can create an equation to represent the situation:
L * W = 12 * 8
Simplifying this equation gives us:
L * W = 96
This equation represents the area of the cardboard sheet, which is 96 square inches.
To find the zeros in this situation, we need to define what "zero" represents. In this case, where we are dealing with a rectangular cardboard sheet, zero would represent a cardboard sheet with no area (i.e., a sheet with zero length or width).
Since neither the length nor the width of the cardboard sheet can be zero (as that would result in no area), there are no zeros in this situation.
Lastly, to sketch the function, we need to plot the points that satisfy the equation and represent the area of the cardboard sheet (L * W = 96) on a graph.
However, since the equation is quadratic, it cannot be represented by a simple linear graph. Instead, it can be shown using a coordinate plane, where the x-axis represents the length and the y-axis represents the width. The area (96 square inches) is the product of the length and width, so it would form a curve on the graph.
Keep in mind that the graph will not be a straight line, as the equation is not linear. It would be curved, and the shape of the curve will depend on the particular values of length and width.