Graph the quadratic function using its properties. Based on the graph determine the domain and range of the quadratic function.f(x) = x2 - 6x + 5
A. domain: {x|-? < x < ?}
range: {y|y ? -4}
B. domain: {x|-? < x < ?}
range: {y|y ? 4}
C. domain: {x|-? < x < ?}
range: {y|y ? -4}
D. domain: {x|-? < x < ?}
range: {y|y ? 4}
Answer: A
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A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the given situation.Last month the average waiting time at a bank was 8.4 minutes. The manager has installed a new computer system and claims that people will no longer have to wait as long.The hypotheses are as follows:Null hypothesis: average waiting time = 8.4 minutes Alternative hypothesis: average waiting time < 8.4 minutes
A. Rejecting the null hypothesis means there is evidence that the mean waiting time is not equal to 8.4 minutes. Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean waiting time is less than 8.4 minutes. B. Rejecting the null hypothesis means there is insufficient evidence that the mean waiting time is equal to 8.4 minutes. Accepting the null hypothesis means there is evidence to conclude that the mean waiting time is equal to 8.4 minutes. C. Rejecting the null hypothesis means there is evidence that the mean waiting time is less than 8.4 minutes. Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean waiting time is less than 8.4 minutes. D. Rejecting the null hypothesis means there is evidence that the mean waiting time is less than 8.4 minutes. Accepting the null hypothesis means there is evidence to conclude that the mean waiting time is equal to 8.4 minutes.
Find all specified roots.Cube roots of 8
A. 2, -1 + i, -1 -
i
B. 2, 1 + i, -1 -
i
C. 2, -1 - i, 1 -
i
D. 2, 1 + i, 1 -
i
157.08 cubic millimeters of material was removed by drilling the blind hole shown in the illustration. Find the depth of the hole.
(The volume of a cylinder is given by )
?
?
?
A. 10 millimeters
B. 5 millimeters
C. 1 millimeters
D. 8 millimeters
E. 16 millimeters
Find the general form of the equation of the the circle.Center at the point (-4, -3); containing the point (-3, 3)
A. x2 + y2 + 8x + 6y - 12 = 0 B. x2 + y2 + 6x - 6y - 17 = 0 C. x2 + y2 + 6x + 8y - 17 = 0 D. x2 + y2 - 6x + 6y - 12 = 0