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
5x-2y=-10
Making y the subject of the formula;
5x+10=2y
2y=5x+10
y=
The slope is 2.5 or five halves
Hello,
f(x)=x^3-11x²+40x-48
f(3)=3^3-11*3²+40*3-48=0
f(x)=(x-3)*(x-4)²
Answer D
Answer:
38x
Step-by-step explanation:
{(10x+1)3x}+5(5x)
10x+3x+25x=38x
