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notsponge [240]
2 years ago
13

Part A

Mathematics
1 answer:
svlad2 [7]2 years ago
3 0

Answer:

Step-by-step explanation:

e i hope i gave you encouragement

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If a polynomial function f(x) has roots 1+square root of 2 and-3, what must be a factor of f(x)?
nevsk [136]
To find the factor a a polynomial from its roots, we are going to seat each one of the roots equal tox, and then we are going to factor backwards.

We know for our problem that one of the roots of our polynomial is -3, so lets set -3 equal tox and factor backwards:
x=-3
x+3=0
(x+3) is a factor of our polynomial.

We also know that another root of our polynomial is 1+ \sqrt{2}, so lets set 1+ \sqrt{2} equal to x and factor backwards:
x=1+ \sqrt{2}
x-1= \sqrt{2}
x-1- \sqrt{2}=0
(x-(1+ \sqrt{2})=0
((x-(1+ \sqrt{2} )) is a factor of our polynomial.

We can conclude that there is no correct answer in your given choices.
8 0
3 years ago
A sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.
meriva

Answer:

Step-by-step explanation:

sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.90, and brand C has a sale of four balls for $5.12. Which inequality about the unit price per ball is correct

Brand A:

$2.50 for 2

Brand B :

$3.90 for 3

Brand C:

$5.12 for 4

We calculate the unit price :

Brand A:

$2.50 / 2 = $1.25

Brand B:

$3.90 / 3 = $1.30

Brand C:

$5.12 / 4 = $1.2

4 0
3 years ago
Can u plzz help meeee
Strike441 [17]
10 because 8 squares plus 6 squared equals 100 and the root of 100 is ten
6 0
2 years ago
Read 2 more answers
Determine the equation of the inverse of y=-4/x+1 The inverse is y=-a/x-b where a = a0 and b = a1
leva [86]
<span>y=-4/x+1 is ambiguous, since it's not immediately clear whether you meant 

                                                -4
y = -4/x   +    1      or      y = ---------
                                               x+1

I'm going to assume that the latter is what you meant.

1.  Interchange x and y, obtaining:

               -4
     x = --------
             y+1

2.  Solve this for y, obtaining  y+1 = -4/x, or   xy + x = -4, or
                                
                                -x - 4
    xy = -x-4, or y = ---------
                                    x

                                   -1              -1                 4
3.  Replace y with    f      (x):      f    (x) = -1 - -----
                                                                         x

This last result has the correct form.</span>
8 0
3 years ago
Read 2 more answers
An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha
TEA [102]

Answer:

The probability is   P(X  >300 ) = 0.97219

Step-by-step explanation:

From the question we are told that

 The capacity of  an Airliner  is  k =  300 passengers

 The sample size n =  320 passengers

  The probability the a randomly selected passenger shows up on to the airport

    p = 0.96

Generally the mean is mathematically represented as

    \mu  =  n*  p

  => \mu  =  320 *  0.96

    => \mu  = 307.2

Generally the standard deviation is  

    \sigma =  \sqrt{n *  p *  (1 -p ) }

=>  \sigma =  \sqrt{320  *  0.96 *  (1 -0.96 ) }

=> \sigma =3.50

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

  P(X  > k ) =  P( \frac{ X -\mu }{\sigma }  >  \frac{k - \mu}{\sigma } )

Here \frac{ X -\mu }{\sigma }  =Z (The \ standardized \  value \  of  \ X )

=>P(X  >300 ) =  P(Z >  \frac{300 - 307.2}{3.50} )

Now applying  continuity correction we have

    P(X  >300 ) =  P(Z >  \frac{[300+0.5] - 307.2}{3.50} )    

=>    P(X  >300 ) =  P(Z >  \frac{[300.5] - 307.2}{3.50} )

=>    P(X  >300 ) =  P(Z >  -1.914 )

From the z-table  

    P(Z >  -1.914 ) =  0.97219

So

    P(X  >300 ) = 0.97219

8 0
3 years ago
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