Answer:
(x + 2) + (–5x + 4) / (x² – 2x + 1)
Step-by-step explanation:
(x³ – 8 x + 6) ÷ (x² – 2x + 1)
The operation can be carried out as follow:
Please see attached photo for details.
(x³ – 8 x + 6) ÷ (x² – 2x + 1) =
(x + 2) + (–5x + 4) / (x² – 2x + 1)
The minimum surface area that such a box can have is 380 square
<h3>How to determine the minimum surface area such a box can have?</h3>
Represent the base length with x and the bwith h.
So, the volume is
V = x^2h
This gives
x^2h = 500
Make h the subject
h = 500/x^2
The surface area is
S = 2(x^2 + 2xh)
Expand
S = 2x^2 + 4xh
Substitute h = 500/x^2
S = 2x^2 + 4x * 500/x^2
Evaluate
S = 2x^2 + 2000/x
Differentiate
S' = 4x - 2000/x^2
Set the equation to 0
4x - 2000/x^2 = 0
Multiply through by x^2
4x^3 - 2000 = 0
This gives
4x^3= 2000
Divide by 4
x^3 = 500
Take the cube root
x = 7.94
Substitute x = 7.94 in S = 2x^2 + 2000/x
S = 2 * 7.94^2 + 2000/7.94
Evaluate
S = 380
Hence, the minimum surface area that such a box can have is 380 square
Read more about surface area at
brainly.com/question/76387
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Answer: Y is less than or equal to 65 and X + y= less than or equal to 95
Answer:
There are 9 adults
Step-by-step explanation:
3:5 = x:15
3/5 = x/15
3(15) = 5x
5x = 45
x = 9 adults
3:5 = 9:15