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3 years ago

6

What is the domain and range of this

1 answer:

Bond [772]3 years ago

6 0

Domain: What are all the possible x values?
[-6, 0) U (0,2)

[ ] Closed brackets means including a number
( ) Open brackets means not including that number

Range: All possible y values
(1, 6]

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The lengths of the sides of a triangle are in the ratio

Anton [14]

HOW TO SOLVE:

1) use x as a variable
2) the starting equation is:
  4x + 3x + 5x = 18

3) add all the like terms on the left side of the equation:
  12x = 18

4) Divide by 12 on both sides:
  x=1.5

5) Find the lengths of the sides:

- 4x = 4(1.5) = 6

- 3x = 3(1.5) = 4.5

- 5x = 5(1.5) = 7.5

SO, the lengths of the sides of this triangle are: 6, 4.5, and 7.5

5 0

3 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

3 years ago

Solve for x.<br><br> -98=4x-50

alexdok [17]

The answer to your question is x= -12 hope this helps ! Makes sure you put the negative !

3 0

2 years ago

Pls help! Will give 100 points!

sdas [7]

Answer:

surely it's 200 marbles bc 2/4 is equal to 1/2 and if u then half 400 you get 200

Step-by-step explanation:

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2 years ago

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The rectangular box is used to ship mp3 players to an electronics store

Alecsey [184]

Answer:

wasuppp

Step-by-step explanation:

7 0

2 years ago