D. 1/4
Explanation:
a perfect square is written in the form
(1)
In our problem, we have this perfect square:
(2)
with C being unknown. However, by comparing (1) and (2), we know that
So, we find
and therefore, the missing term must be
so the complete square is
Answer:
- 6x³ - 1
Step-by-step explanation:
Substitute x = g(x) into f(x), that is
(f ￮ g)(x)
= f(x³ )
= - 6(x³) - 1
= - 6x³ - 1
It's the first one, an algebraic expression contains variables
45x to the 3rd power y divided by 9xy
5x to the 3rd power y
Answer:
24.83 hours
Step-by-step explanation:
Given that :
Let time taken by pumps be :
Pump A = 60 hours
Pump B = 80 hours
Pump C = 90 hours
Recall :
Rate = 1 / time taken
The rates of the pumps are :
Pump A rate = 1 / 60
Pump B rate = 1/80
Pump C rate = 1/90
Combined rate : 1/60 + 1/80 + 1/90
Combined rate = (12 + 9 + 8) / 720 = 29/720
Combined rate = 29/720
The time taken together will be :
1 / combined rate = 1/(29/720) = 720 / 29 = 24.827 hours
