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FrozenT [24]
3 years ago
15

What are the solution of the following system X-y=-4 / 4x-4y=-16

Mathematics
1 answer:
Ugo [173]3 years ago
4 0

Solve equation [1] for the variable  y  

 [1]    y = -x - 4

Plug this in for variable  y  in equation [2]

  [2]    4x - 4•(-x -4) = 16

  [2]    8x = 0

Solve equation [2] for the variable  x  

   [2]    8x = 0  

  [2]    x = 0  

By now we know this much :  

   x = 0

   y = -x-4

Use the  x  value to solve for  y  

   y = -(-0/32766)-4 = -4  

Solution :

{x,y} = {0/32766,-4}

{x,y} = {0,-4}

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4 years ago
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NEED ANSWER ASAP- FOR FINALS
irga5000 [103]

Answer:

Height: 6 feet, Length: 14 feet, Width: 35 feet.

Step-by-step explanation:

The volume of a rectangular prism is length * width * height.

We know that the height of the pool is 6 feet and that one side is 2.5 times longer than the other. It doesn't matter which side, as long it's not the height. So let's just say the width is 2.5 times bigger than the length.

That means our equation can be rewritten as V = height * length* 2.5 * length.

Plugging in what we know, we get:

2940=(6)(l)(2.5l)\\196=l^{2} \\l=14 feet

Now we need to find the width.

w=2.5l\\w=2.5(14)\\w= 35feet

6 0
3 years ago
so uh i have a question about STEAM the app ik this is a math website but uh my question is lets say your playing roblox or mine
yawa3891 [41]

Answer:

Step-by-step explanation:

First off, steam isn't a math website.

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5 0
4 years ago
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What is the MODE of the data - (12, 8, 6, 12, 16, 12) *<br><br> help plsssss
Nostrana [21]

Answer: Mode = 12

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7 0
3 years ago
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The table shows a company’s profit based on the number of pounds of food produced.
Bingel [31]

Answer:

$5,300

Step-by-step explanation:

Formulae used,

a=\dfrac{(\sum x^2y\sum xx)-(\sum xy\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}

b=\dfrac{(\sum xy\sum x^2x^2)-(\sum x^2y\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}

c=\dfrac{\sum y}{n}-b\frac{\sum x}{n}-a\frac{\sum x^2}{n}

Where,

\sum xx=\sum x^2-\dfrac{(\sum x)^2}{n}

\sum xy=\sum xy-\dfrac{\sum x\sum y}{n}

\sum xx^2=\sum x^3-\dfrac{\sum x\sum x^2}{n}

\sum x^2y=\sum x^2y-\dfrac{\sum x^2\sum y}{n}

\sum x^2x^2=\sum x^4-\dfrac{(\sum x^2)^2}{n}

Putting the values from the table, we get the best fit line as,

y= -0.0817x^2 + 102.24x - 20421

As we want to calculate the profit at 350 pounds, so putting x=350, we get

y= -0.0817(350)^2 + 102.24(350) - 20421=\$5354.75


5 0
4 years ago
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