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guajiro [1.7K]
3 years ago
5

Which of the following represents the factorization of the trinomial below?

Mathematics
2 answers:
PolarNik [594]3 years ago
8 0

Answer: d

Step-by-step explanation:

This a trinomial so to find the factorization you need just to solve this equation :

  • x²-2x-48=0
  1. a=1
  2. b=-2
  3. c=-48
  • Δ=(-2)²-4*1*(-48)=196
  • so our trinomial has 2 solutions :
  • \left \{ {{y=\frac{2+\sqrt{196} }{2} } \atop {x=\frac{2-\sqrt{196} }{2} }} \right.

x=8 and y=-6

the factorisation is  f(x)=a* (x-8)(x-(-6))

       the answer is : (x+6) (x-8)

saw5 [17]3 years ago
3 0

Answer: (x-8)(x+6)

Step-by-step explanation: For this equation, you need to figure out what two numbers add up to add -2, and multiply to get -48.

These numbers are +6 and -8. So the factored pair will be (x+6)(x-8)

Hope this helps:)

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g A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of pa
adoni [48]

Complete Question

A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of parts had a mean of 1.6 millimeters with a standard deviation of 0.03 millimeters. what standard deviation will be needed to achieve a process capability index f 2.0?

Answer:

The value required is  \sigma =  0.0133

Step-by-step explanation:

From the question we are told that

   The upper specification is  USL  =  1.68 \ mm

    The lower specification is  LSL  = 1.52  \  mm

     The sample mean is  \mu =  1.6 \  mm

     The standard deviation is  \sigma =  0.03 \ mm

Generally the capability index in mathematically represented as

             Cpk  =  min[ \frac{USL -  \mu }{ 3 *  \sigma }  ,  \frac{\mu - LSL }{ 3 *  \sigma } ]

Now what min means is that the value of  CPk is the minimum between the value is the bracket

          substituting value given in the question

           Cpk  =  min[ \frac{1.68 -  1.6 }{ 3 *  0.03 }  ,  \frac{1.60 -  1.52 }{ 3 *  0.03} ]

=>      Cpk  =  min[ 0.88 , 0.88  ]

So

         Cpk  = 0.88

Now from the question we are asked to evaluated the value of  standard deviation that will produce a  capability index of 2

Now let assuming that

         \frac{\mu - LSL  }{ 3 *  \sigma } =  2

So

         \frac{ 1.60 -  1.52  }{ 3 *  \sigma } =  2

=>    0.08 = 6 \sigma

=>     \sigma =  0.0133

So

        \frac{ 1.68  - 1.60 }{ 3 *  0.0133 }

=>      2

Hence

      Cpk  =  min[ 2, 2 ]

So

    Cpk  = 2

So    \sigma =  0.0133 is  the value of standard deviation required

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sashaice [31]
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4 0
3 years ago
The lengths of two sides of a triangle are given.
azamat

Answer:

Range = 5 - 29

Step-by-step explanation:

a + b > c

a+c > b

c+b > a  

so

17+ 12 > c  ,,,,,,,,,,,,,,,,,,,,,,,,,,,, so it should be lesser than 17+12 which is 29

17 +c > 12    ,,,,,,,,,,,,,,,,,,,,,,,,, and it should be greater than 17- 12 = 5  

c+12 > 17 ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, same here,  it should be greater than 17- 12 = 5  

So the range is ,

17 + 12

to

17-12

whcih is -   (5 to 29)

I hope I am right!!!

3 0
2 years ago
What is the next term of the sequence? 19, 14, 9, 4, ___
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Answer:

-1

-Step-by-step explanation:

4 0
2 years ago
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
salantis [7]

Answer:

Step-by-step explanation:

52-35=17

17/0.5=34

3 0
2 years ago
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