Answer:
28/33 :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
7x - 4y = 3y - 14
7x - 7y = -14
-7y = -7x - 14
y = x + 2
If x=2, the equation would be 6 (2) + 3y = 15.
This simplifies to 12 +3y = 15. Subtract 12 from both sides and you get 3y = 3. Divide both sides by 3 and you get y = 1.
So if x = 2, y =1
If x = 5, the equation becomes 6 (5) + 3y = 15.
This simplifies to 30 + 3y = 15. Subtract 30 from both sides and you get 3y = -15. Divide both sides by 3 and you get y = -5.
So if x =5, y = -5.
I hope this helps!
Answer:
radius = 1.37 cm
height = 2.71 cm
Step-by-step explanation:
We are given volume = 16 m³.
Formula for volume of a cylinder is;
V = πr²h
Thus,
πr²h = 16
h = 16/πr²
Now formula for the surface area is;
S = 2πr² + 2πrh
Putting 16/πr² for h gives;
S = 2πr² + 2πr(16/πr²)
S = 2πr² + 2π(16/πr)
S = 2π(r² + 16/πr)
To minimize, we will find the derivative of S and equate to zero
S' = 2π(2r - 16/πr²) = 0
4πr - 32/r² = 0
4πr = 32/r²
r³ = 32/4π
r = ∛(32/4π)
r = 1.37 cm
From h = 16/πr²;
h = 16/(π × 1.37²)
h = 2.71 cm
F(x) = 2w + I = 2w 5000/w
f'(x) = 2 - 5000 / w^2
Fencing is minimum, so f(x) = 0
2 - 5000/w^2 = 0
2 = 5000 /w^2
2w^2 = 5000
w = 50
I = 5000/2
= 1000
2w + I
= 200
hope this helps
