Answer:
The common factor is 5x.
The factored polynomial is:
Step-by-step explanation:
Factor of the numbers:
The common factor of the numbers 5, 30 and 10 is 5, as it is the greater common divisor of them, as found below:
5 - 30 - 10|5
1 - 6 - 2
Factor of the exponents:
Between and
, the common factor is the x with the lowest exponent. So x
Common factor
Number multiplied by exponents, so 5x.
Factoring the polynomial:
The factored polynomial is:
Answer:
570 m³
Step-by-step explanation:
The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).
We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:
Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:
To get the best estimate of the total volume, let us find the average of the two values, hence: