Answer:
2/11
Step-by-step explanation:
Let's say our fraction is x = 0.1818181818...
The trick is to multiply x by 10²=100 in this case, since there are two repeating digits, and then subtract the original x.
So, in fact you are subtracting 0.181818 from 18.181818 which effectively cancels the entire bit after the decimal point.
You get:
100x - x = 18
Which you can solve:
99x = 18
x = 18/99 = 2/11
Answer:
470:80
Step-by-step explanation:
75 is rounded to 80, while 470 stays the same because it doesn't need to be rounded.
Answer:
Answer below
Step-by-step explanation:
3 - 19
4 - 25
5 - 31
6 - 37
In order to get the maximum (or minimum) of a curve, we need to get the first derivative of the function or the slope then equate to zero. In order to confirm if the value of x is really the maxima, we can proceed to the second derivative and substitute the x to the equation. If the result is a negative number, then the point is the maxima. Therefore,
f(x) = (x^4/3) - (x^5/5)
f'(x) = (4x^3/3) - x^4 = 0
thus x = 4/3
check if the point is really the maxima
f"(x) = 4x^2 - 4x^3
substituting x = 4/3, we get an answer of -2.3704 thus the point is a maxima.
