Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.4x2 + 4x + 1 = 0

A. Two different imaginary solutions
B. Two different irrational solutions
C. Exactly one rational solution
D. Two different rational solutions


Answer: C

Mathematics

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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 planet has a perihelion of 330.6 million miles and a mean distance of 333 million miles, write an equation for the orbit of the planet around the sun.

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Simplify.-6(8x - 1.7y) - 2.2(-x + 3y)

A. -34.8x + 3.6y B. -45.8x + 3.6y C. -45.8x - 1.3y D. -44.8x + 4.6y

Mathematics

Find the functions f and g so that F(x) = (f o g) (x).F(x) =  + 9

A. f(x) = 1/x, g(x) = 8/x + 9  B. f(x) = x, g(x) = 8/x + 9 C. f(x) = x + 9, g(x) = 8/x2 D. f(x) = 8/x2, g(x) = 9

Mathematics

Determine the limit algebraically, if possible.

A.
B. Does not exist
C. 1
D. 0

Mathematics