Solve the problem.In one study the maximum heart rates of conditioned athletes were examined. A group of athletes was exercised to exhaustion. Let x represent an athlete's heart rate five seconds after stopping exercise and y represent an athlete's heart rate ten seconds after stopping exercise. It was found that the maximum heart rate H for these athletes satisfied the following two equations. H = 0.491 x + 0.468 y + 11.2 H = -0.981 x + 1.872y + 26.4If an athlete had a maximum heart rate of H = 151, determine the value of x graphically to the tenths place.
A. x = 148.2
B. x = 147.6
C. x = 147.1
D. x = 147.9
Answer: B
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The table of values gives two points that lie on a line. Use the points to find the slope and y-intercept of the line. Then use these values to write an equation of the line in slope-intercept form.
A. y = x -
B. y = x -
C. y = - x -
D. y = - x -
Identify the conic section as a circle, parabola, ellipse, or hyperbola.
A. Parabola B. Ellipse C. Hyperbola D. Circle
The linear programming problem has an unusual characteristic. Select a graph of the solution region for the problem and describe the unusual characteristic. Find the minimum value of the objective function (if possible) and where it occurs. ? Objective function: ? z = 2.5x + y ? Constraints: ? x ? 0 y ? 0 3x + 5y ? 15 ?5x + 2y ? 10 ?
A.
Minimum at (0, 0): 0
B.
Minimum at : 5.00
C. ?
Minimum at : 2.63
D. ?
No minimum
E. ?
Minimum at : 6.97
Evaluate. for x = 6, y = 7
A.
B.
C.
D.