Provide an appropriate response.Explain why the vertex of a parabola must lie on its axis.
What will be an ideal response?
Explanations will vary. One possibility: The vertex of a parabola must lie on its axis because, by definition, the axis is a line that intersects the vertex, dividing the parabola into two equal parts. For the parabola defined by the following function:
the vertex is at (h, k) and the vertical line x = h is the axis of the parabola. This vertical line includes all ordered pairs (h, y) and thus clearly includes (h, k).
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Provide an appropriate response.Is there an identity element for the operation of division over the set of integers? Support your claim with an example.
What will be an ideal response?
Solve the problem.The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.
A. $660 B. $610 C. $510 D. $760
Simplify using the quotient-to-power rule.6
A.
B.
C. x6y6
D.
Solve the problem.Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 252 mi in the same time that Dana travels 222 mi. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
A. 39 mph B. 37 mph C. 42 mph D. 45 mph