Answer:
a)3/4
Step-by-step explanation:

No no yes yes
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Answer:
h=30cm
Base sides, x=30cm
Step-by-step explanation:
Let x be the dimension of the sides and h the dimension of height;

#Material used is directly proportional to surface area. Minimizing surface area will minimize the amount of material used.

Find area as a function of x:

To minimize Area, we find the first derivative of Area:

#find the second derivative to verify the minimum:

Substitute x in the volume equation to find h:

Hence, the dimensions of the box that minimize the amount of material used h=30cm and x=30cm
Answer:
x < 2
Step-by-step explanation:
- Divide each side by 4, to cancel out the 4 next to x. It should now look like this: x < 2
I hope this helps!
Answer:
a= -6
Step-by-step explanation:
Please see attached picture for full solution.
I skipped a few steps while rewriting the equation into the form of y=mx+c
Here's the step-by-step working if you don't understand:
2x -3y= 6
2x= 3y +6 (+3y on both sides)
2x -6= 3y (-6 on both sides)
3y= 2x -6
<em>y= 2/3x -2</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>(÷3 throughout)