Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
Answer:
2x + 8
Step-by-step explanation:
This is the pattern:
y is 2 times x plus 8
Write this relationship as an equation.
y=2x+8
Answer:
X = V/(YZ)
Step-by-step explanation:
V=XYZ
Division property of equality
V/(YZ) = X
Symmetric property of equality
X= V/(YZ)
It's graph C. because on the first pair of numbers you can see that they both line up with the graph. Also, if you find the pattern between the numbers (x-3 and y-1) the graph C. lines up.
Hoped I helped! :)
