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3 years ago

Find the inverse of the function. f(x) = x3 - 3

Mathematics

2 answers:

Stells [14]3 years ago

7 0

Answer:

m=3

Slope of x3-3: \frac{x+3}{3}

Step-by-step explanation:

m=3

Slope of x3-3: \frac{x+3}{3}

Down is the slope

Hope this helps

likoan [24]3 years ago

5 0

Answer:

y = (x + 3)^ 1/3

Step-by-step explanation:

if that is f(x) = x³-3

then switch the y and x and solve for y

x = y³ - 3

x + 3 = y³

(x + 3)^1/3 = y

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The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typo

muminat

Answer:

The required probability is 0.55404.

Step-by-step explanation:

Consider the provided information.

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.

Average error for 7 pages booklet and 5 pages booklet series is:

λ = 0.2×7 + 0.3×5 = 2.9

According to Poisson distribution: $P(k{\text{ events in interval}})={\frac {\lambda ^{k}e^{-\lambda }}{k!}}$

Where $\lambda$ is average number of events.

The probability of more than 2 typographical errors in the two booklets in total is:

$P(k > 2)= 1 - {P(k = 0) + P(k = 1) + P(k = 2)}$

Substitute the respective values in the above formula.

$P(k > 2)= 1 - ({\frac {2.9 ^{0}e^{-2.9}}{0!}} + \frac {2.9 ^{1}e^{-2.9}}{1!}} + \frac {2.9 ^{2}e^{-2.9}}{2!}})$

$P(k > 2)= 1 - (0.44596)$

$P(k > 2)=0.55404$

Hence, the required probability is 0.55404.

4 0

3 years ago

What is y=-5x75+23 divided by 2

mina [271]

Answer:

Exact Form

Y = -727/2

Decimal Form

y = -363.5

Mixed Number Form

y = -363 1/2

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

I know this is stupid but im lazy. <br> What four numbers equal 50.

Dennis_Churaev [7]

12.5 x 4... hope this helped!

7 0

3 years ago

In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.

ankoles [38]

<h2>Answer:</h2>

$\boxed{\overline{MN}=37.96}$

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find $\overline{MN}$ . Since:

$\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm$

and $\overline{MN}$ is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

$\overline{RN}=\overline{QN}$

By Pythagorean theorem, for triangle NQP:

$\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}$

Applying Pythagorean theorem again, but for triangle MQN:

$\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}$

3 0

3 years ago

Write the equation of the line from the given information. through (-3,5) & (4,-2)

Masteriza [31]

Answer:

y = -x + 2

Step-by-step explanation:

(-3,5) and (4,-2)

Slope: (-2-5)/(4 - - 3) = -7/7 = -1

y-intercept= -2 - (-1)(4) = -2 + 4 = 2

7 0

3 years ago