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andrew11 [14]
3 years ago
8

How do you solve this problem? (x+3) cubed

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
7 0
You would expand becausee it isn't equal to anything

(x+3)^3=(x+3)(x+3)(x+3)
we can use binomial theorem or pascal's triangle
anyway, pascal's triangle is more practicl for this one

so
for the 3rd power
(a+b)^3=1a^3+3a^2b^1+3a^1b^2+1b^3

a=x
b=3

(x+3)^3=1x^3+3x^2(3^1)+3x^1(3)^2+1(3)^3=
x^3+9x^2+27x+27


siniylev [52]3 years ago
3 0
Hi

(x + 3)³
(x+3)*(x+3)*(x+3)
(x+3)*(x²+6x+9)
Now you need to use the distributive property
(x)(x²) + (x)(6x) + (x)(9) +(3)(x²) + (3)(6x) + (3)(9)
Calculate them
x³ + 6x² + 9x + 3x² + 18x + 27
Group the common there
x³ + 6x² + 3x² + 9x + 18x + 27
x³ + 9x² + 27x + 27

I hope that's help !
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A manager in a call center needs to determine how many agents to schedule next week.
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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.

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