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adelina 88 [10]
3 years ago
11

X^2 - 6 = -2x Find the solution by completing the square

Mathematics
1 answer:
Lunna [17]3 years ago
6 0

Answer:

x = -1±sqrt( 7)

Step-by-step explanation:

x^2 - 6 = -2x

Add 2x to each side

x^2 +2x- 6 = -2x+2x

x^2 +2x -6 = 0

Add 6 to each side

x^2 +2x- 6+6 = 6

x^2 +2x = 6

Take the coefficient of x

2

Divide by 2

2/2 =1

Square it

1^2 =1

Add this to each side

x^2+2x+1 = 6+1

(x+1)^2 = 7

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 7)

x+1 = ±sqrt( 7)

Subtract 1 from each side

x+1-1 = -1 ±sqrt( 7)

x = -1±sqrt( 7)

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\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}

Step-by-step explanation:

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A manager in a call center needs to determine how many agents to schedule next week.
lukranit [14]

Answer:

Number of calls expected in next week by manager = 7940

Average Number of calls that call center agent will attend in an hour =7 calls

It is also given that, Call center remain open for 10 hours 5 days a week.

Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week  ,Part time agents work 20 hours a week but are only on calls 17 hours per week .

⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940

⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940

Option A

⇒35×15×7+17×7×15

= 3675+1785

= 5460

Option B

⇒35 ×7×20+17×7×7

=4900 +833

= 5733

Option C

⇒35×20×7 +17×20×7

=4900+2380

=7280

Option D

⇒25 × 35×7+17×7×5

=6125 +595

=6720

Option E

⇒28×35×7+17×7×10

=6860+1190

=8050

Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.

7 0
3 years ago
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