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Alekssandra [29.7K]
4 years ago
9

While attempting to solve the equation , Hazel made an error. Her work is shown to the right. Explain the mistake, and provide t

he correct answer.

Mathematics
1 answer:
balu736 [363]4 years ago
3 0

Answer:

Step-by-step explanation:

X=-11 because,

Step 1: Simplify both sides of the equation.

x

2

+

4

x

=

77

Step 2: Subtract 77 from both sides.

x

2

+

4

x

−

77

=

77

−

77

x

2

+

4

x

−

77

=

0

Step 3: Factor left side of equation.

(

x

−

7

)

(

x

+

11

)

=

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A corporation must appoint a president, chief executive officer, chief operating officer and chief financial officer. It also ap
erik [133]

Answer:

Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.

Step-by-step explanation:

As the complete question is not given a similar question is found online and is attached herewith.

Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.

Number of Candidates=12

Number of Posts=4

As the order is important the number of ways are identified using Permutations given as

Number\,\ of\, ways=^{12}P_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!}\\Number\,\ of\, ways=\frac{12!}{8!}\\Number\,\ of\, ways=11880

So the number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.

Number of Candidates=12

Number of Posts=4

As the order is not important the number of ways are identified using Combinations given as

Number\,\ of\, ways=^{12}C_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!4!}\\Number\,\ of\, ways=\frac{12!}{8!4!}\\Number\,\ of\, ways=495

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.

8 0
4 years ago
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Step-by-step explanation:

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