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luda_lava [24]
4 years ago
11

I need help please. I don't get how to do systems of linear equations!!!!!!!

Mathematics
1 answer:
taurus [48]4 years ago
4 0
The soluition set is (-3,5) and a normal ordered pair reads (x,y). So that means 5 = [_]x-10
-Add 10 to both sides
15 = [_]x
-And we know the value of x so lets sub that in.
15 = [_](-3)
-And now we divide by -3
-5 = [_]

Next we have 3x-[_]y=-19
-Lets start this buy substituting values of x and y into the equation again.
3(-3)-[_](5)=-19
-Simplify
-9 - [_](5) = -19
-Move the (-9) by adding 9 to both sides
-[_](5) = -10
-divide by 5 = -2
-(1)[_] = -2
[_] = 2
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What is the solution to the system of equations?
hjlf

Answer:

x = 1, y = 2, z = 4

Step-by-step explanation:

(x + 4y – z = 5

2(3x – 2y + 2z = 7 )

6x - 4y + 4z = 14

7x + 3z = 19

3(2x – z= -2)

6x - 3z = -6

13x = 13

x = 1

6(1) - 3z = -6

-3z = -12

z = 4

(1) + 4y - 4 = 5

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3 0
3 years ago
What is the value of x?<br>​
Nookie1986 [14]

Answer:

  13

Step-by-step explanation:

All the lengths in triangle ADE are twice those in similar triangle ABC. So ...

  x-1 = 2(6)

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3 0
3 years ago
Which is the solution set of the compound inequality 3.5x-10&gt;-3and 8x-9&lt;39
dimulka [17.4K]

So to solve for an inequality, you must isolate the variable, in this case x, to one side.

Starting with 3.5x - 10 > -3, firstly add both sides by 10:

3.5x > 7

Next, divide both sides by 3.5 and your first half is:

x > 2

Next with 8x - 9 < 39, firstly add both sides by 9:

8x < 48

Next, divide both sides by 8 and your second half is:

x < 6

<u>Putting it together, your final answer is x > 2 and x < 6 or 2 < x < 6.</u>

8 0
3 years ago
A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse
Ludmilka [50]

Answer:

a

     The null hypothesis  is  H_o  :  \mu  = 180

      The alternative hypothesis is  H_a :  \mu  <  180

b

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

From the question we are told that

     The population mean is  \mu  =  3 \  minutes =  180 \  seconds

     The sample  size is  n =  25

     The excel sheet is show on the first uploaded image

     The level of significance is  \alpha =  0.05

     The null hypothesis  is  H_o  :  \mu  = 180

      The alternative hypothesis is  H_a :  \mu  <  180

Generally the sample mean is mathematically represented as

        \= x  =  \frac{156 + 136 + \cdots  + 181}{25}

=>      \= x  = 173.2

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{\sum  (x_i - \= x )^2 }{n} }

=>    \sigma  =  \sqrt{\frac{  (156 - 173.2 )^2 + (136 - 173.2 )^2  + \cdots + (181- 173.2 )^2  }{25} }

=>    \sigma  =  24.261

Generally the test statistics is mathematically represented as

      t =  \frac{\= x  -  \mu }{\frac{\sigma}{\sqrt{n} } }

=>   t =  \frac{173.2 -  180 }{\frac{24.261}{\sqrt{25} } }

=>   z = -1.40    

Generally p-value is mathematically represented as

  p-value  =  P(Z <  z)

=>  p-value  =  P(Z < -1.40)

From the z-table  

   P(Z < -1.40) =  0.080757

=>   p-value  = 0.080757

From the obtained value we that  p-value >  \alpha

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

   

5 0
3 years ago
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torisob [31]

The formula for the Pythagorean theorem is,

\text{Hypotenuse}^2=Opposite^2+Adjacent^2

8 0
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