Solve the problem.The orbit of a planet around a sun is an ellipse with the sun at one focus. The aphelion of a planet is its greatest distance from the sun, its perihelion is its shortest distance, and its mean distance is the length of the semimajor axis of the elliptical orbit. If a (hypothetical) planet has a perihelion of 563.4 million miles and a mean distance of 566 million miles, write an equation for the orbit of the planet around the sun.
A. +
= 1
B. +
= 1
C. +
= 1
D. +
= 1
Answer: D
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Solve the quadratic inequality. Write your answer in interval notation.x2 - 13x + 42 > 0
A. (7, ?) B. (6, 7) C. (-?, 6) D. (-?, 6) ? (7, ?)
Find the horizontal asymptote, if any, of the graph of the rational function.h(x) =
A. y = 0
B. y =
C. y = 5
D. no horizontal asymptote
Solve the problem.The graph below shows the average retail price of the least-expensive DVD player available at Mega Mart over the past few years. Average Retail Price of Least Expensive DVD Playera. Use the two points whose coordinates are given to find the slope-intercept form of an equation that models the data.b. Use the equation from part (a) to predict the price of the least expensive DVD player in 2007.
A. a. y = -25x + 194 b. $19 B. a. y = -25x + 194 b. $44 C. a. y = -25x + 56 b. $94 D. a. y = -25x + 56 b. $119
Solve the problem.A biologist recorded 12 snakes on 41 acres in one area and 18 snakes on 45 acres in another area. Let y be the number of snakes in x acres. Write a linear equation for the number of snakes.
A. y = x -
B. y = x +
C. y = - x +
D. y = x +