22. What are the minimum, first quartile, median, third quartile, and maximum of the data set?
18, 20, 11, 10, 8, 6, 12, 4 (1 point)
minimum 4; first quartile 7; median 10.5; third quartile 17.5; maximum 20
minimum 4; first quartile 5.5; median 12.75; third quartile 15; maximum 20
minimum 4; first quartile 8.75; median 12.75; third quartile 17.5; maximum 20
minimum 4; first quartile 7; median 10.5; third quartile 15; maximum 20
Minimum 4; first quartile 7; median 10.5; third quartile 15; maximum 20
23. Simplify –(3ab2)–3 (1 point)
(Image: 1 over 9a3b6)
(Image: –1 over 27a3b6)
(Image: –1 over 3a3b5)
27a3b6
(Image: –1 over 27a3b6)
27. Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x2 – 6x = 7 (1 point)
x = 7, 1
x = –7, 1
x = –7, –1
x = 7, –1
x = 3 + sqrt(16) or x = 3 - sqrt(16)
Therefore, x = 7 or x = 1.
Answer: x = 7, 1
29. Simplify the rational expression. State any excluded values.
(Image: 3x minus 12 over x minus 4) (1 point)
x
3; where x ≠ 4
3; where x ≠ 3
0
The rational expression can be simplified as follows:
3x - 12 = 3(x - 4)
So, the expression simplifies to:
(Image: 3 over x minus 4)
The excluded value is x = 4 because it would make the denominator zero, which is undefined.
Answer: 3; where x ≠ 4
30. Divide.
(25x2 – 40x + 18) ÷ (5x – 3) (1 point)
(Image: 5x – 5 - 3 over 5x – 3)
(Image: 5x – 8 – 18 over 5x – 3)
(Image: 5x – 5 + 3 over 5x – 3)
5x – 14
We can use polynomial long division to divide (25x2 – 40x + 18) by (5x – 3):
5x - 3 | 25x^2 - 40x +18
25x - 15
------------
-25x +33
-25x +15
-------------
18
Therefore,
(25x2 – 40x + 18) ÷ (5x – 3) = 5x - 3 + (18/(5x-3))
Answer: (Image: 5x – 5 + 3 over 5x – 3)
32. The box-and-whisker plot shows the average temperatures in Atlanta, Georgia in March.
(Image: box whisker plot)Which statement about the temperatures in Atlanta must be true? (1 point)
About half of the days in March had average temperatures above 60 degrees.
About half of the days in March had average temperatures either below 60 or above 73 degrees.
The coldest day in March was 51 degrees.
The hottest day in March was 84 degrees.