V=x(8-2x)(10-2x) or expanded
V=x(4x^2-36x+80)
V=4x^3-36x^2+80x
...
If you were to graph the above equation for V(x) you will see a maximum point where the "y" value is maximized, but be careful as V will increase without bound at values of x that are not part of the domain, ie, in this case x<8/2, x<4 to have any meaning...The proper domain of this function is:
x=(0,4), Mathematically finding this point quickly is by differentiating it with respect to x...
dV/dx=12x^2-72x+80, The maximum volume will occur when dV/dx=0 and the x value is within the correct domain...
12x^2-72x+80=0 (using the quadratic formula for ease)
x=(72±√1344)/24, and since x<4
x≈1.472in (to the nearest one thousandth of an inch)
Answer: ×=5
Step-by-step explanation: Add 3 to both sides. simplify. Subtract 2× from both sides of the equation and u will get ×≡5
Answer:
y=12x−6
Step-by-step explanation:
Answer:
<h2>
2400</h2>
Step-by-step explanation:
x - total of population
35%x - women
1560 - men
35%x + 1560 = x
0.35x + 1560 = x
1560 = x - 0.35x
0.65x = 1560
÷0.65 ÷0.65
x = 2400
Answer:
B
Step-by-step explanation:
