Answer:
see explanation
Step-by-step explanation:
Given that the the difference of cubes is
a³ - b³ = (a - b)(a² + ab + b²)
Given
64 - 27 ← a difference of cubes
with a = 4x² and b = 3, thus
= (4x²)³ - 3³
= (4x² - 3)(16 + 12x² + 9) ← in factored form
Answer:
Step-by-step explanation:
We are given the temperature inside the machine from startup until 10 seconds later, the formula is:
We want to know at what time t the temperature inside the machine will be equal to 128 °C.
So we set:
Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side
and we simplify:
now it's easy to solve for t:
And thus we arrive to the solution.
