What will the volume of the box be if you cut 1 inch by 1 inch squares out of each corner (Notice that you have to subtract 1 in
ch from each side twice? Remember volume is length times width times height. Discuss how you found the length, the width, and the height of the box in order to calculate the volume.
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The total cost of producing 6 widgets is $24 if the company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.
<h3>What is a quadratic equation?</h3>Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
Let's suppose the quadratic function is:
c(x) = ax² + bx + c
Plug c(x) = $16
x = 2
16 = 4a + 2b + c ...(1)
Plug c(x) = $18
x = 4
18 = 16a + 4b + c ...(2)
Plug c(x) = $48
x = 10
48 = 100a + 10b + c ...(3)
After solving equations (1), (2), and (3) by substitution method:
a = 0.5
b = -2
c = 18
c(x) = 0.5x² -2x + 18
Plug x = 6 widgets:
c(6) = 0.5(36) - 12 + 18 = $24
Thus, the total cost of producing 6 widgets is $24 if the company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.
Learn more about quadratic equations here:
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