Find the value of $x$ that maximizes $$f(x) = \log (-20x + 12\sqrt{x}).$$ If there is no maximum value, write "NONE".
1 answer:
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Question is Incomplete; Complete question is given below;
A pile of g pounds of gravel exists in a quarry. During the day, 400 pounds of gravel is added to the pile. Two orders of 900 pounds are removed, resulting in the mound holding 1,500 pounds of gravel by day's end. Formulate the equation that accurately illustrates this scenario.
Answer:
The equation that best represents the situation is .
Step-by-step explanation:
Given:
Initial gravel amount = ''.
Currently Given:
Throughout the day, 400 pounds of gravel is added to the pile.
Thus we can conclude;
Gravel amount after addition =
Also given:
Two orders of 900 pounds are sold and the gravel is taken from the pile.
Hence, two orders of 900 pounds =
This leads us to state;
Gravel amount post-removal =
Now Given:
Remaining gravel at the end of day = 1300 pounds.
Therefore, we derive that;
Consequently, the equation that best describes the scenario is .
Answer: The result is
Step-by-step explanation: A glass bottle filled with oil has a weight of 590 grams. After Sophia takes away 200 milliliters of oil, the bottle's weight drops to 400 grams.
Consequently, the mass of the oil used by Sophia is calculated as = 590 - 400 = 190 grams.
This means that 190 grams corresponds to 200 milliliters, thus
The relationship between the mass 'M' of the oil bottle in grams and 'V', the volume of oil used by Sophia can be represented as