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Gala2k [10]
2 years ago
8

Help!!n/4+7=8(/ means fraction)

Mathematics
1 answer:
Harman [31]2 years ago
8 0
THE CORRECT ANSWER IS N=4
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A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun
zmey [24]
Alrighty


squaer base so length=width, nice


v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h


the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute

SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H

the box is 20cm height and the width and length are 40cm
7 0
2 years ago
please help! Create a function y=f(x) that has a removable discontinuity at x=2 and a non-removable discontinuity x=3. Fill in t
Alenkasestr [34]

Answer:

6

Step-by-step explanation:

7 0
2 years ago
Expand and simplify: (x-5)(x+5)
stealth61 [152]
X^2-5x+5x-25 (multiply (x-5) with (x+5))
X^2-25 ( -5x+5x =0)





5 0
3 years ago
Read 2 more answers
The lines are parallel. Find the slope-intercept form of the equation y₂.
Bas_tet [7]
Since the lines are parallel and you know the slope of y_{1} is -2, you know the slope of line y_{2} will also be -2. You can see on the coordinate grid that line y_{2} crosses the y-axis at -1. When you piece all of these facts together into slope-intercept form you get y_{2} = -2x - 1.
6 0
3 years ago
Solve the equation by completing the square.<br><br> 3x^2 -6+9=0
Debora [2.8K]
The factored form would be (3x-9)(x-1)
The picture should help a bit
8 0
2 years ago
Read 2 more answers
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