Answer:
- Please see the attached picture for full solution!:)
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3x+15=3(x+5)
3x+15=3x+15
3x-3x=15-15
Therefore x can be equal to any value.
Answer:
y = x + 2
If you use y = x, it will become in the direction of that line. I am assuming 1 block = 1 unit of measurement, so y = x + 2.
Answer:
£13496.80
Step-by-step explanation:
We can ignore the £ sign for now, that is just units.
If we decrease a number by 4.5%, we will have to find
% of 14132.77.
We can easily do this by setting up a proportion.

Multiply 14132.77 by 95.5:

Divide by 100:

Rounding this to two decimal places, it simplifies to 13496.80.
Hope this helped!
Total cost, C = 8x^2 + 12xz
volume, V = (x^2)*z = 10
C = 8x^2 + 12x*10/x^2
= 8x^2 + 120/x
dC/dx = 16x - 120/x^2 = 0
16x = 120/x^2
x^3 = 120/16
x = 1.957 ft
d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957
so, C is minimum when
x = 1.957 ft z = 2.61 ft
Length of the base x is 1.957 ft and height of side z is 2.61 ft