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DochEvi [55]
3 years ago
15

Erify that f has an inverse. then use the function f and the given real number a to find (f −1)'(a). (hint: see example 1. if an

answer does not exist, enter dne.) f(x) = x + 2 x − 1 , x > 1 a = 2

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0

The function

... f(x) = (x+2)/(x-1) = 1 + 3/(x-1)

is symmetrical about the line y=x, hence is its own inverse.


We can evaluate the desired derivative directly.

... f'(x) -3/(x-1)²

so f'(2) is

... f'(2) = -3/(2-1)²


(f^{-1})(2)=-3

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If a home goods retailer pays $35.50 for the vacuum cleaner shown here, answer the following questions. (Round dollars to the ne
Marianna [84]

The Markup percentage is mathematically given as

M=42%

<h3>What is Mark up percentage?</h3>

The markup % may be determined by dividing the gross profit of a unit (the difference between its sales price and the amount it cost to create or buy for resale) by the amount that unit originally cost. If a product sells for $12 but only costs the corporation $8 to produce it, the markup percentage for that product is 50%, which can be calculated as (12 - 8) divided by 8.

Generally, the equation for is Total cost price mathematically given as

TCP= Pay+insurance

Therefore

TCP=35.5*1.6

TCP=284/5

Generally, the equation for is Total selling price mathematically given as

TSP=89.99+7.99

TSP=97.98

In conclusion, Mark up percentage is

M=\frac{SP-CP}{SP}*100\\\\

M= \frac {97.98 - (284/5) }{97.98}   *100

M=0.4202898551*100

M=42%

Read more about Mark up a percentage

brainly.com/question/14318030

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3 0
1 year ago
An investment that costs $5,000 will produce annual cash flows of $3,000 for 3 years. Using a required return of 8%, the investm
Bess [88]

Answer:

The investment will generate a NPV of $2,731.

Step-by-step explanation:

Cost of an investment (PV) = $5,000

Annual cash flows = $3,000

Period of investment = 3 years

Interest rate of return = 8%

Annuity Factor = 2.577 (for 3 years at 8% per year)

Present value of the annuity = $3,000 * 2.577 = $7,731

NPV = Annuity PV minus PV of investment cost

= $7,731 - $5,000

= $2,731

b) The NPV (net present value) of $2,731 is the difference between the present value of the annual cash flows $7,731 and the investment cost of $5,000.  The resulting NPV is positive and the investment should be accepted.

7 0
3 years ago
What is the length of the hypotonic the triangle ?
djverab [1.8K]

Answer:

<h2>37 ft</h2>

Step-by-step explanation:

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have

lef=12ft,\ leg=35ft,\ hypotenuse=AB

Substitute:

AB^2=12^2+35^2\\\\AB^2=144+1225\\\\AB^2=1369\to AB=\sqrt{1369}\\\\AB=37

4 0
3 years ago
Help me solve this problem please
Travka [436]

Answer:

The second one .......

3 0
3 years ago
Someone tell me the answer
erastovalidia [21]

Answer:

a. sami eats 7/12 slices

b. the ratio of slice sami eats to lynn eats is 7:5

Step-by-step explanation:

7 0
2 years ago
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