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3 years ago

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

Marysya12 [62]

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

Price after discount: $49.39

You saved: $26.60

Step-by-step explanation:

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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

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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:

Explanation:-

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 ? What is the constant ?

Misha Larkins [42]

Answer: 10

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

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3 years ago