Identify the vertex, the axis of symmetry, the maximum or minimum value, and the domain and range of the function for f(x)=(x-9)^2-29
we have
f(x)=(x-9)^2-29
This is a vertical parabola, open upward
The vertex represent a minimum
The vertex of the parabola is the point (9,-29)
The domain is all real numbers
The range is the interval {-29, infinite)
The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
In this problem
axis of symmetry is x=9
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The table which represents the relationship is:
Fluid ounces, x Volume y ( in millimeters)
1 29.57
2 59.14
3 88.71
4 188.28
In mathematics, a relation describes how two distinct sets of information related to one another. If more than two non-empty sets are taken into consideration, a connection between their elements will indicate that more than two sets are being evaluated.
Let y be the volume of fluid x in millimeters.
Now, y is equal to 29.57 times the value of x.
Therefore,
y = 29.57 × x
y = 29.75x
So, when x = 1:
y = 29.75(1) = 29.57
When x = 2,
y = 29.57(2) = 59.14
When x = 3,
y = 29.57(3) = 88.71
When x = 4,
y = 29.57(4) = 118.28
Therefore, the table that represents the relationship is:
Fluid ounces, x Volume y ( in millimeters)
1 29.57
2 59.14
3 88.71
4 188.28
Learn more about volume here:
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Answer:
55.563
Step-by-step explanation:
Given the following :
Mean(m) point = 73
Standard deviation( sd) = 10.6
Lower 5% will not get a passing grade (those below the 5% percentile)
For a normal distribution:
The z-score is given by:
z = (X - mean) / standard deviation
5% of the class = 5/100 = 0.05
From the z - table : 0.05 falls into - 1.645 which is equal to the z - score
Substituting this value into the z-score formula to obtain the score(x) which seperates the lower 5%(0.05) from the rest of the class
z = (x - m) / sd
-1.645 = (x - 73) / 10.6
-1 645 * 10.6 = x - 73
-17.437 = x - 73
-17.437 + 73 = x
55.563 = x
Therefore, the score which seperetes the lower 5% from the rest of the class is 55.563
