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2 years ago

Blue Sky Jeans Company manufactures jeans. A machine cuts the fabric

Mathematics

1 answer:

Sindrei [870]2 years ago

6 0

Answer:

79687

Step-by-step explanation:

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How does one find the inverse function of f(x)= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3x-1%7D" id="TexFormula1" tit

lisabon 2012 [21]

Answer:

$\displaystyle f^{-1}(x)=\frac{1+x}{3x}$

Step-by-step explanation:

<u>The Inverse of a Function</u>

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

$\displaystyle y=\frac{1}{3x-1}$

* Solve the equation for x.

Multiply by 3x-1

$y(3x-1)=1$

Divide by y:

$\displaystyle 3x-1=\frac{1}{y}$

Sum 1:

$\displaystyle 3x=\frac{1}{y}+1$

Operate the right side:

$\displaystyle 3x=\frac{1+y}{y}$

Divide by 3:

$\displaystyle x=\frac{1+y}{3y}$

* Swap the variables:

$\displaystyle y=\frac{1+x}{3x}$

Write back into function form:

$\boxed{\displaystyle f^{-1}(x)=\frac{1+x}{3x}}$

7 0

3 years ago

A school surveys 100 students to find out their favorite football team. Seventy - one of the students said the Dallas Cowboys.

almond37 [142]

So out of 100 questioned 71 said Dallas Cowboys , that means 71% did , now we have to work out 71% of 1200 which is 852

3 0

3 years ago

Suppose the lengths, in seconds, of the songs in an online database are normally distributed. For a random sample of songs, the

sattari [20]

Answer:

186

Step-by-step explanation:

The sample mean, x, is the central value in the confidence interval, that is, the average between the upper and lower bounds of the interval.

In this case, the Lower bound is 184.00 and the upper bound is 188.00. Therefore, the sample mean is given by:

$x = \frac{184+188}{2}\\x=186.00$

The mean length, in seconds, of the sampled songs is 186.00.

5 0

3 years ago

A playground basketball court 9ft long and 46ft wide is to be resurfaced at a cost of $3.25 per sq ft. What will the resurfacing

Amiraneli [1.4K]

first u multiply 94 ft times 46 ft to get the area. U get 4324. Next u multiply that by 3.25 to get the resurfacing cost

The answer is $14053.

Hope that helps!

7 0

3 years ago

Will give crown help

jasenka [17]

Answer:

D is a right angle

B is an accute angle

A and C are obtuse

4 0

3 years ago