Find the quadratic function y = f(x) that has the given vertex and whose graph passes through the given point.(4, -32)

A. y = - x2
B. y = -2x2
C. y = 2x2
D. y = 4x2


Answer: B

Mathematics

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Multiply and simplify. ? 

A. 5m
B.
C.
D. 10

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Determine whether the improper integral is convergent or divergent, and calculate its value if it is convergent.

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The following graph shows the actual percentage of U.S. households with a computer as a function of household income (the data points) and a logistic model of these data (the curve). The logistic model is

?

?
where x is the household income in thousands of dollars. For low incomes, the logistic model is approximately exponential. Which exponential model best approximates P(x) for small x? Round the coefficients to the nearest hundredth.
?

?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics