Provide an appropriate response.Explain why possible solutions of radical equations must be checked.
What will be an ideal response?
The square of a number is equal to the square of its opposite. Thus, while squaring both sides of a radical equation allows us to find the solutions of the original equation, this procedure can also introduce numbers that are not solutions of the original equation.
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Solve the problem.Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = ex, and the line x = ln 3 about the line x = ln 3.
A. 2?(2 + ln 3) B. 2?(3 - ln 3) C. 2?(2 - ln 3) D. 2?(3 - ln 4)
Provide an appropriate response.Factor completely: 30x2 + 2xy - 12y2
Fill in the blank(s) with the appropriate word(s).
Use a tree diagram to find the indicated probability.3.9% of a secluded island tribe are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 92% of those who have the disease will test positive. However 4.4% of those who do not have the disease will also test positive (false positives). What is the probability that any given person will test positive? Round your answer to three decimal places if necessary.
A. 0.036 B. 0.042 C. 0.078 D. 0.482
List the intercepts for the graph of the equation.4x2 + y2 = 4
A. (-4, 0), (0, -1), (0, 1), (4, 0) B. (-2, 0), (0, -1), (0, 1), (2, 0) C. (-1, 0), (0, -4), (0, 4), (1, 0) D. (-1, 0), (0, -2), (0, 2), (1, 0)