Provide an appropriate response.Suppose that a class of 30 students is assigned to write an essay.1) Suppose 4 essays are randomly chosen to appear on the class bulletin board. How many different groups of 4 are possible?2) Suppose 4 essays are randomly chosen for awards of $10, $7, $5, and $3. How many different groups of 4 are possible?Explain the significant differences between problems 1 and 2.
What will be an ideal response?
Problem 1 is a combination, not dependent on order, while problem 2 is a permutation and is dependent on order.
Mathematics
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Graph the system of inequalities. Find the coordinates of any vertices.3y + x ? 0,y + 2x ? 10,y ? 0
A. 
(0, 0) , (10, 0)
B. 
(6, -2)
C. 
(0, 0) , (5, 0) , (6, -2)
D. 
(0, 0) , (5,0)
Mathematics
Provide an appropriate response.If the y term is missing in both of two linear equations, the lines are ?
A. Parallel B. One Graph C. Intersecting D. Parallel or One Graph
Mathematics
Find the function value, provided it exists. f(x) = 
; f(-3)
A. - 
B. 
C. - 
D. 
Mathematics
Perform the indicated operations.(2x7 + 3x6 - 14) - (-7x6 + 6x7 - 11)
A. -4x7 + 10x6 - 25 B. 3x13 C. -4x7 + 9x6 - 25 D. -4x7 + 10x6 - 3
Mathematics