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Svetllana [295]
3 years ago
8

Solve the following system of equations graphically.

Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0
The solution lies in quadrant I
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50 POINTS!!!!! HELP ASAP!
hram777 [196]

Answer:

The inequality for Part A:  −6 °F <  −2 °F

Step by step-

The reason for that us because the -2 is closer to zero on the number line

3 0
2 years ago
2(x-1) ≥ 10 or 3-4x &gt; 15<br> Solve the compound inequality, and show work!
Veseljchak [2.6K]

Answer:

x\geq 6\text{ or } x

Step-by-step explanation:

We have the compound inequality:

2(x-1)\geq10\text{ or } 3-4x>15

Let's solve each of them individually first:

We have:

2(x-1)\geq10

Divide both sides by 2:

x-1\geq5

Add 1 to both sides:

x\geq6

We have:

3-4x>15

Subtract from both sides:

-4x>12

Divide both sides by -4:  

x

Hence, our solution set is:

x\geq 6\text{ or } x

5 0
3 years ago
Read 2 more answers
Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui
Vesnalui [34]
<h3>The dimensions of the given rectangular box are:</h3><h3>L  =   15.874 cm  , B  =  15.874 cm   , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box  

= Area of the base +  4 x ( Area of the adjacent faces)

=  S x S  +  4 ( S x H)   = S² +  4 SH   ..... (1)

Also, Area of the box  = S x S x H  =  S²H

⇒ S²H = 2000

\implies H = \frac{2000}{S^2}

Substituting the value of H in (1), we get:

A = S^2 + 4 SH =  S^2 + 4 S(\frac{2000}{S^2}) =  S^2 + (\frac{8000}{S})\\\implies A  =  S^2 + (\frac{8000}{S})

Now, to minimize the area put :

(\frac{dA}{dS} ) = 0 \implies 2S  - \frac{8000}{S^2}  = 0\\\implies S^3 = 4000\\\implies S  = 15.874 \approx 16 cm

Putting the value of S  = 15.874 cm in the value of H , we get:

\implies H = \frac{2000}{S^2}  =  \frac{2000}{(15.874)^2} = 7.8937 cm

Hence, the dimensions of the given rectangular box are:

L  =   15.874 cm

B  = 15.874 cm

H = 7.8937 cm

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How to write 30000+300+3 in standard form​
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Answer:

30303

Step-by-step explanation:

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