Answer:
Let's complete the square first.
y = x² + 6x + 3
= (x² + 6x + 9) - 6
= (x + 3)² - 6
Therefore, the vertex is (-3, -6) and since the coefficient of (x + 3)² is positive, the vertex is a minimum.
The keyword is "sum" which tells you x, y, and z are being added. One half of the sum means that the sum of the three numbers is going to be divided by 2.
x + y + z
------------
2
Answer:
it's an right angle triangle
The quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.
<h3>What are gallons?</h3>
A gallon is a British unit which is used for the measurement of liquids that is equal to eight pints. In Britain, it is equal to about 4.546 litres. In America, it is equal to about 3.785 litres.
It is given in the question that:-
Richard fills his pool at a rate of 6 gallons per minute.
Jason's pool already contains 200 gallons, and he fills it at a rate of 2 gallons per minute.
After 20 minutes the amount of liquid in the tank will be:-
For Richard = 6 gallons per minute. x 20 minutes= 120 gallons
For Jason= 2 gallons per minute x 20 =40 gallons
Jason has 200 gallons already in the tank
So it will become = 200+24=240 gallons.
Hence quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.
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Answer:
-6/13
Step-by-step explanation:
