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Nesterboy [21]
3 years ago
7

Find the inverse of f(x)=-1/3x-5

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
6 0
-1.6666 hope this helps you
Ainat [17]3 years ago
6 0
Let y = -1/3x - 5
1/3x  = -y - 5
multiply through by 3
x = -3(y + 5)
so 
inverse of f(x) = -3(x + 5)
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Hello, could anyone please help me with my homework?
IRINA_888 [86]

Answer: See below

Step-by-step explanation:

100\left(\frac{1}{2}\right)^{\frac{t}{214}}=20

\mathrm{Divide\:both\:sides\:by\:}100

\frac{100\left(\frac{1}{2}\right)^{\frac{t}{214}}}{100}=\frac{20}{100}

Simplify

\left(\frac{1}{2}\right)^{\frac{t}{214}}=\frac{1}{5}

\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)

\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\ln \left(\frac{1}{5}\right)

\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)

\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\frac{t}{214}\ln \left(\frac{1}{2}\right)

\frac{t}{214}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{1}{5}\right)

\frac{\ln \left(\frac{1}{2}\right)t}{214}=\ln \left(\frac{1}{5}\right)

\mathrm{Multiply\:both\:sides\:by\:}214

\frac{214\ln \left(\frac{1}{2}\right)t}{214}=214\ln \left(\frac{1}{5}\right)

-\ln \left(2\right)t=-214\ln \left(5\right)

\mathrm{Divide\:both\:sides\:by\:}-\ln \left(2\right)

\frac{-\ln \left(2\right)t}{-\ln \left(2\right)}=\frac{-214\ln \left(5\right)}{-\ln \left(2\right)}

t=\frac{214\ln \left(5\right)}{\ln \left(2\right)} or \mathrm{Decimal}:\quad t=496.89261\dots

8 0
3 years ago
Read 2 more answers
#3
Marysya12 [62]

Answer:With original price $75.99 and 35% discount,

Price after discount: $49.39

You saved: $26.60

Step-by-step explanation:

5 0
2 years ago
PLEASE ANSWERRRRRRRRRRR
strojnjashka [21]

Answer:

2/5 or 0.4

Step-by-step explanation:

rise over run is 20/50, simplifies to 2/5

5 0
3 years ago
Describe the sampling distribution of p(hat). Assume the size of the population is 30,000.n=800, p=0.6a) Determine the mean of t
Leno4ka [110]

Answer:

Standard deviation of the binomial distribution

                               = \sqrt{n p q} = \sqrt{192}  = 13.856

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given size 'n' = 800

The population proportion 'p'=0.6

Let 'X' be the random variable of the binomial distribution

a)  mean of the binomial distribution  = n p = 800 ×0.6

                                                             μ  = 480

b)  variance of the binomial distribution

                                                                      = n p q

                                                                      =  800 X 0.6 ×0.4

                                                                 σ²  = 192

Standard deviation of the binomial distribution

                                                             σ    = \sqrt{n p q} = \sqrt{192}  = 13.856

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3 years ago
Simplify the exspression . 3x+4y+2+6y+3 . What is the coefficient of y ?<br> What is the constant ?
Misha Larkins [42]

Answer: 10

Step-by-step explanation: Combine like terms for y, so add then you get 10.

5 0
3 years ago
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