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miss Akunina [59]
4 years ago
13

Which is a quadratic function?

Mathematics
1 answer:
ryzh [129]4 years ago
5 0

Answer: f(x)=5x^2-4x+5

Step-by-step explanation:

A quadratic function is as following; ax^2+bx+c

Notice that it cannot be f(x)=0x^2-4x+7 because if you solve; 0x^2=0 which eliminates the x^2.

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An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the
sdas [7]

Answer:

a

    n=  75, 582

b

  n=    2300

c

  n =   253

Step-by-step explanation:

     Generally the size of the sample sample space is  mathematically represented as

           n  =   \left N } \atop {}} \right.  C_r

Where   N is the total number of objects available and  r is the  number of objects to be selected

    So  for  a,  where N = 19  and r = 8  

         n  =   \left 19 } \atop {}} \right.  C_8 =  \frac{19 !}{(19 - 8 )! 8!}

                           =     \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}

                           n=  75, 582

    For  b  Where  N  = 25 and  r  =  3

           n  =   \left 25 } \atop {}} \right.  C_3 =  \frac{25 !}{(19 - 3 )! 3!}

                             =     \frac{25 *24 *23 *22 !  }{22 ! \ 3!}

                             n=    2300

   For  c  Where  N  = 23 and  r  =  2

            n  =   \left 23 } \atop {}} \right.  C_2 =  \frac{23 !}{(23 - 2 )! 2!}

                              =     \frac{23 *22 *21!  }{21 ! \ 3!}

                              n =   253

4 0
4 years ago
I Need The Answer Plz!! Geometry is tuff
melamori03 [73]

Answer: F-H      G-F      G-H

Step-by-step explanation:

5 0
3 years ago
Richard's weekly gross pay is $1,600. He pays 25% in federal income tax and 9% in state income
BlackZzzverrR [31]
His gross pay will be 9%
5 0
3 years ago
Read 2 more answers
Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.
frozen [14]

Note: Consider we need to find the vertices of the triangle A'B'C'

Given:

Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.

Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).

To find:

The vertices of the triangle A'B'C'.

Solution:

If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then

(x,y)\to (y,-x)

Using this rule, we get

A(-3,6)\to A'(6,3)

B(2,9)\to B'(9,-2)

C(1,1)\to C'(1,-1)

Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).

7 0
4 years ago
A boat goes 32 miles downstream in two hours. The return trip againts the current takes sixteen hours. Find the rate of the boat
zepelin [54]

Answer: the rate of the boat in calm water is 9 mph and the rate of the current is 7 mph

Step-by-step explanation:

Let x represent the rate of the boat in calm water.

Let y represent the rate of the current.

A boat goes 32 miles downstream in two hours. Assuming that it travelled in the direction of the current, its total speed would be

x + y mph

Distance = speed × time

Distance covered downstream is

32 = 2(x + y)

16 = x + y - - - - - - - - - - - -1

The return trip against the current takes sixteen hours.

Its total speed would be x - y mph

Distance = speed × time

Distance covered on return trip is

32 = 16(x - y)

2 = x - y - - - - - - - - - - - -2

Adding equation 1 and equation 2, it becomes

18 = 2x

x = 18/2 = 9 mph

Substituting x = 9 into equation 1, it becomes

16 = 9 + y

y = 16 - 9 = 7 mph

3 0
3 years ago
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