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Zigmanuir [339]
3 years ago
10

Suppose f(×) = 2^×, sketch a graph of f(×) and f^-1(×)​

Mathematics
1 answer:
musickatia [10]3 years ago
7 0

Let f(x) = y

y = 2^x

x = 2^y

Solve for y.

ln x = ln(2^y)

ln x = y ln 2

ln x/ln 2 = y

Replace y with f^(-1) x.

f^(-1) x = ln x/ln 2

We now know f(x) and f^(-1) x.

Use your graphing calculator to graph the function and its inverse on the same xy-plane. If you don't have a graphing calculator, use DESMOS online.

Good luck.  

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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
2 years ago
The regression equation y=0.5x+1.3 approximates the number of hours it takes to arrange a dinner event, y, given the number of p
Sphinxa [80]

It would be C.

For example, say 1 person comes. This would be x=1. Plugging this in gives you,

y=0.5 + 1.3

This shows that C is true since x is always going to be multiplied by 0.5.

1.3 would be the base amount of time it takes to arrange since if it the y-intercept.


5 0
3 years ago
Help it’s for a quiz
Vilka [71]

Answer:

i cant answer that

Step-by-step explanation: I cant answer because if it was for a quiz i bet the quiz is over now so there is no point in answering.

6 0
2 years ago
What are the names of three planes that contain point G?
liubo4ka [24]

Answer:

B is the correct answer to your question

4 0
2 years ago
I'm 2003, the population of Charlotte, NC was 584,658. According to the U.S. Census Bureau, Charlotte has been growing at the ra
dlinn [17]
If a certain place's population is given to be growing at a rate of 4.8% annually, the population after t years from 2003 will become (1.048^t) times the given initial population. This translates to a mathematical equation which is equal to,
                                At = (584,658(1.048^t)
6 0
3 years ago
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