Provide an appropriate response.Fill in the blanks to complete the statement.  y = g(x)The equation g(x) = 0 has ____ real solution(s). The value of the discriminant of g(x) is ____ .

A. 0; negative
B. 2; 0
C. 1; 0
D. 1; positive


Answer: C

Mathematics

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Find the coordinates of the vertex of the graph of the equation. If necessary, complete the square on x to write the equation in the form y = a(x - h)2 + k. Do not graph the equation.y = -4(x - 3)2 

A. (0, -4) B. (5, 0) C. (-4, 0) D. (0, 3) E. (3, 0)

Mathematics

Solve the problem.If the Hamilton Method is used to apportion legislative seats to two original states and a new state with the populations given in the table (in thousands), then one of the states loses a seat to another if the original number of seats being apportioned is 48. Which state loses a seat to which state, and does the New States paradox occur?

A. a loses a seat to b, no B. b loses a seat to a, yes C. b loses a seat to a, no D. a loses a seat to b, yes

Mathematics

Determine whether the geometric series converges or diverges. If it converges, find its sum.

Mathematics

Write the following as an equation, using x for the unknown number. Then solve.Three-fourths of a number is . Find the number in lowest terms.

A. x = ;  
B.  + x = ; - 
C. x = ;  
D. x = ;  

Mathematics