Answer:
The vertex of the quadratic equation is the point (4,2)
Step-by-step explanation:
we know that
The figure show a vertical parabola open downward
The vertex represent the maximum point of the graph
Looking at the graph
The maximum point of the graph is (4,2)
therefore
The vertex of the quadratic equation is the point (4,2)
see the attached figure to better understand the problem
Answer:
72
Step-by-step explanation:
w(14-y) where w=8 and y=5
8(14-5)
8(9)
72
Answer:
2
Step-by-step explanation:
Use slope formula: (y2-y1)/(x2-x1)
(14-6)/(8-4) = 8/4 = 2
The gradient is 2
Let 4x = the girth (each side = x) Let y = the length
4x + y = 114 maximum y = 114 - 4x
volume = x^2 * y v = x^2 * (114 - 4x) v = 114x^2 - 4x^3 . . . . . . v is maximum (or minimum) when it's derivative = 0 v ' = 228x - 12x^2
228x - 12x^2 = 0 12x * (19 - x) = 0
x = 0 <=== this is obviously a minimum volume or x = 19 inches <=== for maximum volume
4x + y = 1144*19 + y = 114y = 38 <===
The largest volume is 19 x 19 x 38
