A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and t
he number of insect larvae (y) in the water: graph of y equals minus 2 times the square of x plus 20 times x plus 400 What does the peak of the graph represent?
2 answers:
Answer:
The maximum number of larvae occurs when the temperature is 5°C.
Step-by-step explanation:
We are given the function ,
where x= temperature of water (in degrees) and y= number of insect larvae in water.
From the graph of the function below, we see that,
The peak or the highest point of the parabola is (5,450).
That is, when x= 5, then the value of y= 450
<em>That is, when the temperature of the water is 5°, then the number of larvae in water is 450.</em>
Hence, the peak of the graph means that,
The maximum number of larvae occurs when the temperature is 5°C.
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Answer: He still owns 64% of the Mr.Williams' original parking.
Step-by-step explanation:
Let x = Area of the original parking plot.
First he sold 20% of his lot to neighbor .
Sold plot = 20% of x = 0.20x [Replace 'of' by '×' and divide number by 100 to remove %]
Reminder= x-0.20x= (1-0.20)x=0.80x
Again he sold 20% of the remainder .
Sold plot = 20% of (0.80x) = 0.20 (0.80x)
= 0.16x
Remainder plot = 0.80x-0.16x= 0.64x
Percent of Mr.Williams' original parking lot does he still own =
Hence, he still owns 64% of the Mr.Williams' original parking.