Answer:
-1/2 (x + 1)
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - 6 / 1 - (-1)
-1/2
y - 6 = -1/2 (x + 1)
Answer:
x < 2
Step-by-step explanation:
Vertex is (3-16) which is a minimum
X-intercepts are (-1,0) and (7,0) but (7,0) is the largest ones
Y-intercept is (0,-7)
V = Length x Width x Height = 288
If we call the width w
then length = 3w
And height = 288/(3w x w)
Assuming none of the material used overlaps the box will need 6 faces ( top, bottom, 2 ends and 2 sides)
Area of material = 2 x LW + 2 x HW + 2 x HL
= 2(3w x w + 288/(3w x w) x w + 288/(3w x w) x 3w)
= 2(3w^2 + 288/3w + 288/w)
= 2(3w^2 + 96/w + 288/w)
= 2(3w^2 + 384/w)
= 6w^2 + 768/w
Taking the derivative in terms of w
A’ = 12w - 768/w^2
A’ is zero when 12w = 768/w^2
w^3 = 768/12 = 64
w = cube root of 64 = 4
This makes the box with the minimum materials 12 x 4 x 6
So the length that uses the minimum material is 12 inches