What is the product?

DanielleElmas [232]

We're given the equation T = 3x + 2.
They're asking you to find the value of T when x = 1/3, so you all need to do is replace x by its value (in this case by 1/3) in the equation.

T = 3x + 2
T = 3 * (1/3) + 2
T = 3/3 + 2
T = 1 + 2
T = 3

So when x = 1/3 , T = 3.

Hope this Helps! :D

3 0

2 years ago

Read 2 more answers

Mrs. Nevin is making a costume for a school play. She needs a piece of fabric that is greater than 1/2 of a yard but less than 5

Bumek [7]

Answer:

4/7 yards

Step-by-step explanation:

Given that :

Required fabric is > 1/2 but < 5/8

Let required fabric = x

Then ;

Converting the fractions to decimal :

1/2 = 0.5 ; 5/8 = 0.625

0.5 < x < 0.625

3/8 yards = 0.375 ;

4/7 yards = 0.571

3/7 yards = 0.429

2/4 yards = 0.5

0.5 < 0.571 < 0.625

From the options, only 4/7 yards satisfies the condition :

5 0

2 years ago

Ken and Vincent each want to run for president of their school's student body council. In

zheka24 [161]

Answer:

Step-by-step explanation:

3 0

2 years ago

(WILL GET BRAINLESS IF YOU EXPLAIN)

Vaselesa [24]

Answer:

Quran Surah Fatir 35:5

Step-by-step explanation:

What this verse is trying to say is, don't let this life you are living right now mislead you and misguide you! For example, you see non-believer doing zina, drinking alchoal, or doing bad sins. These are some of the major distractions and the disbelievers who do these types of stuff will try to mislead you by making you do this also with them.

(I want to clarify it's better if you go to an Imam or somebody knowledgeable and ask them because they will help you explain this verse in a more understandable way. I tried but it's better to check an Imam!)

Hope this helped!

5 0

2 years ago

A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per

dexar [7]

Answer:

The total revenue is $TR=580x-10x^2$ .

The marginal revenue is $MR=580-20x$ .

The fixed cost is $900.

The marginal cost function is $MC=50x+300$ .

Step-by-step explanation:

The Total Revenue ( $TR$ ) received from the sale of $x$ goods at price $p$ is given by

$TR=p\cdot x$

The Marginal Revenue ( $MR$ ) is the derivative of total revenue with respect to demand and is given by

$MR=\frac{d(TR)}{dx}$

From the information given we know that the price they can sell cakes is given by the function $p=580-10x$ , where $x$ is the number of cakes sold per day.

So, the total revenue is

$TR=(580-10x)\cdot x\\TR=580x-10x^2$

And the marginal revenue is

$MR=\frac{d}{dx}(580x-10x^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\MR=\frac{d}{dx}\left(580x\right)-\frac{d}{dx}\left(10x^2\right)\\\\MR=580-20x$

The Fixed Cost ( $FC$ ) is the amount of money you have to spend regardless of how many items you produce.

The Marginal Cost ( $MC$ ) function is the derivative of the cost function and is given by

$MC=\frac{d(TC)}{dx}$

We know that the total cost function of the company is given by $C=(30+5x)^2$ , which it is equal to

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=30,\:\:b=5x\\\\\left(30+5x\right)^2=30^2+2\cdot \:30\cdot \:5x+\left(5x\right)^2=25x^2+300x+900\\\\C=25x^2+300x+900$

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.

And the marginal cost function is

$MC=\frac{d}{\:dx}\left(25x^2+300x+900\right)\\\\MC=\frac{d}{dx}\left(25x^2\right)+\frac{d}{dx}\left(300x\right)+\frac{d}{dx}\left(900\right)\\\\MC=50x+300+0=50x+300$

4 0

2 years ago