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nirvana33 [79]
3 years ago
6

What is the domain and range of this

Mathematics
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]
You might be interested in
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:

3 0
2 years ago
Read 2 more answers
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
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