Determine what type of number the solutions are and how many solutions exist.w2 + 4w + 6 = 0

A. Two imaginary
B. Two irrational
C. One rational
D. Two rational


Answer: A

Mathematics

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Find an equation of the circle satisfying the given conditions.Center at (0, -6), radius 

A. (x - 6)2 + y2 = 169 B. (x + 6)2 + y2 = 169 C. x2 + (y - 6)2 = 13 D. x2 + (y + 6)2 = 13

Mathematics

Solve the equation.-4(x + 2) - 24 = -10 - 6

A. 2 B. 4 C. -2 D. -4

Mathematics

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation.a + 1 +  + . . . + 

A.
B.
C.
D.

Mathematics

The accounting department of a sports drink bottling company is checking to see whether the actual expenses of a department differ from the budgeted expenses by more than $500 or by more than 5%. Fill in the missing parts of the table, and determine whether each actual expense passes the "budget variance test." ?   Bubget Expense, b Actual Expense, a |a - b| 0.05b Insurance $2575 $2675  ? ?

A. Insurance: |a - b| = 100, 0.05b = 50Because the difference between the actual expense and the budget is less than $500 and greater than 5% of budgeted amount there is compliance with the budget variance test. B. Insurance: |a - b| = 100, 0.05b = 128.75Because the difference between the actual expense and the budget is greater than $500 and greater than 5% of budgeted amount there is compliance with the budget variance test. C. Insurance: |a - b| = 100, 0.05b = 128.75Because the difference between the actual expense and the budget is less than $500 and less than 5% of budgeted amount there is compliance with the budget variance test. D. Insurance: |a - b| = 100, 0.05b = 128.75Because the difference between the actual expense and the budget is $500 and greater than 5% of budgeted amount there is compliance with the budget variance test. E. Insurance: |a - b| = 100, 0.05b = 128.75Because the difference between the actual expense and the budget is greater than $500 and less than 5% of budgeted amount there is compliance with the budget variance test.

Mathematics