community swimming pool has a deep end and a shallow end. The volume of water in the deep end can be represented by (2x^3 + 12x2
1 answer:
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Answers:
Domain is
Range is
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Explanation:
We can replace x with any real number we want. We don't have any restrictions to worry about since there are no division by zero issues for instance. Also, there isn't any issues of things like taking the square root of a negative number.
Therefore, the domain is the set of all real numbers which translates to the interval notation of
This interval notation can be thought of as
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The range on the other hand isn't the set of all real numbers. It might help to graph this parabola (see below). You should see that the highest point occurs at the vertex (5, 4). This then tells us that the largest y can get is y = 4.
In other words, y = 4 or y can be smaller than this.
In symbols, we would say the range is and that translates to the interval notation of
The curved parenthesis always goes with either infinity. The square bracket says "include the endpoint 4 as part of the interval".
Answer:
15 pounds of onions are needed in the recipe.
Step-by-step explanation:
Total gallon of chopped onion needed for the recipe = 1 1/2 gallons
Solving the mixed fraction, we get
So, the chopped onion needed = 1.5 gallons
Also, 1 gallon = 160 ounces
So, 1.5 gallon = 1.5 x (160) ounces = 240 ounces
⇒ 1.5 gallon = 240 ounces
Now, 1 ounce = 0.0625 pounds
⇒ 240 ounces = 240 x 0.0625 pounds = 15 pounds
Hence, 15 pounds of onions are needed in the recipe.