Find the vertices and graph the hyperbola.9x2 - 16y2 = 144
A. (-3, 0), (3, 0)
B. (0, -4), (0, 4)
C. (-4, 0), (4, 0)
D. (0, -3), (0, 3)
Answer: C
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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) = -(7 + 8x + 3x2); associated equation: 0 = -8 - 6x
A.
B.
C.
D.
Graph the function. Use the graph to find any relative maxima or minima.f(x) = |x + 4| - 2
A. Relative maximum of 2 at x = -4 B. Relative minimum of -2 at x = -4 C. Relative minimum of 2.2 at x = -4 D. Relative minimum of 1.7 at x = -4
Solve the problem.Linda is staying at a ski resort. She is hoping for cold temperatures for the best skiing conditions. The minimum temperatures for the last three nights have been
and
Which of these temperatures was the coldest?
A. -4.1°C B. -1°C C. -3.9°C
Solve the mixture problem.It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 60 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength?
A. 15 L B. 20.0 L C. 24 L D. 30 L