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3 years ago

Solve f^-1(3) when f(x) = (2x+3)/5

1 answer:

5 0

As you may know, we start off by doing a quick switcharoo on the variables, in order to get the inverse, and then solve for "y",

$\bf \stackrel{f(x)}{y}=\cfrac{2x+3}{5}\qquad \qquad \stackrel{inverse}{\underline{x}=\cfrac{2\underline{y}+3}{5}}\qquad \implies 5x=2y+3
\\\\\\
5x-3=2y\implies \cfrac{5x-3}{2}=\stackrel{f^{-1}(x)}{y}
\\\\\\
\cfrac{5(3)-3}{2}=f^{-1}(3)$

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Ahmed, Walid and Faisal made $1446 profit from selling used books. If Ahmed to receive double amount of Faisal and Walid to rece

sukhopar [10]

Answer:

Faisal will receive $ 241
Ahmed will receive $ 482
Walid will receive $ 723.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Profit Ahmed, Walid and Faisal made from selling used books = $ 1,446

Ahmed to receive double amount of Faisal

Walid to receive triple amount of Faisal

2. How much does each one receive?

Let x to represent the amount Faisal to receive
Let 2x to represent the amount Ahmed to receive (double amount of Faisal)
Let 3x to represent the amount Walid to receive (triple amount of Faisal)

Therefore, we have:

x + 2x + 3x = 1,446

6x = 1,446

x = 1,446/6

x = 241 ⇒ 2x = 482 ⇒ 3x = 723

Faisal will receive $ 241, Ahmed will receive $ 482, and Walid will receive $ 723.

6 0

3 years ago

The scheduled arrival time for a daily flight from Boston to New York is 9:35 am. Historical data show that the arrival time fol

Lady_Fox [76]

Answer:

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean is:

$M = \frac{a+b}{2}$

The standard deviation is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

Arrival time of 9:18 am and a late arrival time of 9:41 am.

9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.

Mean:

$M = \frac{a+b}{2} = \frac{0+23}{2} = 11.5$

Standard deviation:

$S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(23 - 0)^{2}}{12}} = 6.64$

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

8 0

3 years ago

What are the solutions of the system?

bearhunter [10]

D : no solution

Hope this works

5 0

3 years ago

I appreciate the help and if you don’t mind can someone please help me with this one too

Allisa [31]

Answer:

he must work 8 hours

Step-by-step explanation:

soln:

given,

$8=1 hour

or,$1=1/8 hour

so,

$64=64*1/8 hour

•°•$64=8 hours

7 0

3 years ago

Jennifer can do 8 math problems in 20 minutes. How long would it take her to complete a 10 question test at the same rate?

-BARSIC- [3]

Answer:

25 minutes

Step-by-step explanation: 20 divided by 8 equals 2.5 so she take 2 and a half minutes per question. 2.5 plus 2.5 equals 5 so just add five minutes on her original time. 25 minutes

3 0

4 years ago

Read 2 more answers