Combine like terms whenever possible. Write the result with descending powers.14a5 - 5a5 + 14a4 + 4a5 - 7a4
A. 20a9
B. 20a5
C. Cannot be simplified
D. 13a5 + 7a4
Answer: D
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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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Graph the linear inequality.x - y > -5
A. 
B. 
C. 
D. 
Use the simplex method to solve the linear programming problem.Maximizez = x1 + 2x2 + 4x3 + 6x4subject to:x1 + 2x2 + 3x3 + x4 ? 100 3x1 + x2 + 2x3 + x4 ? 75withx1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0
A. Maximum is 450 when x1 = 0, x2 = 0, x3 = 0, x4 = 75 B. Maximum is 150 when x1 = 0, x2 = 75, x3 = 0, x4 = 0 C. Maximum is 300 when x1 = 0, x2 = 0, x3 = 75, x4 = 0 D. Maximum is 600 when x1 = 0, x2 = 0, x3 = 0, x4 = 100
Give an appropriate answer.Let
f(x) = -4 and
g(x) = -10. Find
.
A. 1
B. 
C. -5
D. - 2