The given graph represents a translation of the graph of y = x2. Write the equation of the graph.

A. y = (x - 1)2
B. y = (x - 1)2 + 1
C. y = (x + 1)2
D. y = x2 - 1


Answer: C

Mathematics

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Match the system of equations with one of the graphs.x2 - y2 = 9x2 + y2 = 25

A.

B.

C.

D.

Mathematics

Match the differential equation with the appropriate slope field.y' = x - y

A.

B.

C.

D.

Mathematics

Find the sum of the geometric series for those x for which the series converges.

A.
B.
C.
D.

Mathematics

A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the given situation.A health insurer has determined that the "reasonable and customary" fee for a certain medical procedure is  They suspect that the average fee charged by one particular clinic for this procedure is higher than  The insurer wants to perform a hypothesis test to determine whether their suspicion is correct.The hypothesis tests are as follows: Null hypothesis: mean fee = $1200Alternative hypothesis: mean fee > $1200

A. Rejecting the null hypothesis means there is evidence that the mean fee is not equal to $1200.  Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean fee is greater than $1200. B. Rejecting the null hypothesis means there is evidence that the mean fee is greater than $1200.  Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean fee is greater than $1200. C. Rejecting the null hypothesis means there is evidence that the mean fee is greater than $1200.  Accepting the null hypothesis means there is evidence to conclude that the mean fee is equal to $1200. D. Rejecting the null hypothesis means there is evidence that the mean fee is greater than $1200.  Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean fee is equal to $1200.

Mathematics