The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the parabola and its associated equation.Equation of parabola: f(x) = 3x - x2; associated equation: 0 = 3 - 2x
A.
B.
C.
D.
Answer: A
Mathematics
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Solve the problem.A standardized math test was given to 6000 students. The scores were normally distributed with a mean of 380 and a standard deviation of 50. How many students scored between 380 and 480?
A. 2040 B. 5700 C. 2850 D. 4080
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Solve the inequality and graph the solution set.|4y - 7| > -4
A. ?
B. (-?, ?)
C.
D.
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Find the center of the hyperbola. -
= 1
A. (-2, -1) B. (2, 1) C. (-1, -2) D. (4, -1)
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Refer to the graph of the linear function defined by or the graph of the linear functions defined by
and
to solve the equation or inequality.
g(x) < f(x)
A. (-?, 10) B. (-?, 2) C. (10, ?) D. (2, ?)
Mathematics