Graph the function. State whether it is increasing, decreasing, or constant..p(x) = -x + 5
A. increasing
B. decreasing
C. decreasing
D. increasing
Answer: C
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The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity 0.995 and one focus at the Sun. The length of its major axis is 366.5 AU. [An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find the maximum distance from the comet to the Sun. (The perihelion distance from a planet to the Sun is a(1 - e) and the aphelion distance is a(1 + e).) Find the answer in AU and round to the nearest hundredth.
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Provide an appropriate response.It can be shown that a hyperbola with center at the origin, foci at F'(-c, 0) and F(c, 0), and equation 
has equation 
- 
= 1. Use this result to find an equation of a hyperbola with center at the origin, foci at (-8, 0) and (8, 0), and absolute value of the distances from any point of the hyperbola to the two foci equal to 8.
A. 
- 
= 1
B. 
- 
= 1
C. x2 - y2 = 8
D. 
- 
= 1
Solve the problem.Among patients who were improving on a certain day (in the critical care unit of a certain hospital), the following was determined to be true on the next day: 57% were still improving; 10% were stable; 7% were deteriorating; and 26% had been discharged. Among the patients who were stable on a certain day, the following was determined to be true on the next day: 34% were improving; 47% were still stable; 15% were deteriorating; 3% had been discharged; and 1% had died. Among the patients who were deteriorating on a certain day, the following was determined to be true on the next day: 12% were improving; 42% were stable; 42% were still deteriorating; none had been discharged; and 4% had died. What is the expected number of additional days that a patient, who is improving on
that certain day, will spend in the critical care unit? Round your answer to the nearest hundredth. A. 4.44 days B. 7.34 days C. 3.00 days D. 5.55 days
Solve the problem.The following points form a quadratic relationship: (1, 5.0), (2, 4.4), (3, 4.3), (4, 4.2), (5, 4.6), (6, 4.8), 
(8, 6.2). The x-coordinates are the years a particular company has been in operation and the y-coordinates are the profit, in millions, for that year. Use quadratic regression to estimate the profit in the ninth year.
A. 4.47 million B. 6.48 million C. 7.38 million D. 7.19 million