If the volume of a cube-shaped compost bin is 27 cubic feet. What is the edge length of the compost bin?

1 answer:

3 0

Cube = all sides same length, which equals A*A*A = 27 Which is the same as A^3 = 27 Therefore,the cube root is +/-3, but as it is length, must be positive, so is +3

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dybincka [34]

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See attachment for table values
y₁ = y₂ for x = 6

Step-by-step explanation:

In each case, put the x-value in the formula and do the arithmetic. If you're allowed, you can save some time and effort by realizing that the solution (x) will have to be an even number.

y₁ is an integer value for all integer values of x. y₂ is an integer value for even values of x only. y₁ and y₂ will both be integers (and possibly equal) only when x is even.

For example, for x = 6, we have

... y₁ = 3·6 - 8 = 18 -8 = 10

... y₂ = 0.5·6 +7 = 3 +7 = 10

That is, for x = 6, both columns of the table have the same number (10). That is, y₁ = y₂ for x = 6. The solution to the equation

... y₁ = y₂

... x = 6.