Step-by-step explanation: Standard form is when we take a polynomial and we write it in order from the greatest degree to the smallest degree.
Let's look at an example which I provided in the image attached.
In this polynomial, I have 2 degrees, 1 degree, and 1 degree above the <em>x</em>.
This is not in the form of least to greatest so I need to write it in descending order. Our constant which in this is 27 will be last in polynomial.
So, you look at the degree of each term and then write each in term in order of degree from greatest to least (descending order).
Answer:
400 lb of salt
Step-by-step explanation:
Let us assume the water flows into the rank for x minutes.
There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x
Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x
The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:
1500 = 1000 + 5x
5x = 1500 - 1000
5x = 500
x = 100 minutes.
1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb
Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt
The temperature went down by 12 degrees. (Or you could say it changed by -12 degrees)
Answer:
Identity property of multiplication (multiplying a number by one will result in that number)
Step-by-step explanation:
Yes; if you look at both terms, they both have a common factor of 3x, therefore, this expression can be simplified as 3x(5x-9).
