Indicate whether the graph of the equation is a circle, an ellipse, a hyperbola, or a parabola. Then graph the conic section.3x2 = 147 + 3y2
A. parabola
B. hyperbola
C. circle
D. ellipse
Answer: B
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Find the character of the roots.t2 - 6t + 9 = 0
A. Two different irrational solutions B. Exactly one rational solution C. Two different rational solutions D. Two different imaginary solutions
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 = 166, determine the value of x graphically to the tenths place.
A. x = 163.2 B. x = 163.5 C. x = 162.9 D. x = 162.4
Solve the system by the substitution method.
A. {(8, 2), (-8, -2), (8, -2), (-8, 2)} B. {(8, 2), (-8, -2), (2, 8), (-2, -8)} C. {(-8, -2), (-2, -8), (-8, 2), (-2, 8)} D. {(8, 2), (2, 8), (8, -2), (2, -8)}
Find the amount of any refund or tax due. The letter following the name indicates marital status. Assume a 52-week year and that married people are filing jointly. Use $3700 for each personal exemption; a standard deduction of $5800 for single people, $11,600 for married people, and $8500 for head of household; and the tax rate schedule.
A. $304.48 refund B. $7357.79 refund C. $304.48 due D. $7357.79 due