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devlian [24]
3 years ago
6

Given: the function f defined by f(x) = 3x2 . Which statement is true? 1) f(0) = 0 2) f(−2) = f(2) 3) f(5) + f(2) = f(7) 4) f(5)

− f(2) = f(10)
Mathematics
1 answer:
alexgriva [62]3 years ago
7 0

Answer:

f(0) = 0 and f(−2) = f(2)

Step-by-step explanation:

Given: the function f defined by f(x) = 3x²

f(0) = 3(0)²

f(0) = 0

f(-2) = 3(-2)²

f(-2) = 3(4)

f(-2) = 12

f(2) = 3(2)²

f(2) = 3(4)

f(2) = 12

Hence f(-2) = f(2)

Therefore the correct options are  f(0) = 0 and f(−2) = f(2)

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h(x)=2x-14

h(8)=2(8)-14

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the value of h(8) is 2

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3 feet= ? inches. what is it? TwT
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The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past
galina1969 [7]

Complete Question

The complete question is shown on the uploaded image  

Answer:

1 ) The correct option B

2) The correct option is  C

3)  The correct option is  C

4)  The correct option is  C

Step-by-step explanation:

From the question we are told that

   The proportion that own a cell phone  is  p = 0.90

    The  sample  size is  n =  15

Generally the appropriate distribution for X is mathematically  represented as

      X  \ is  \ B( n , p )

So  

       X  \ is  \ B( 15 , 0.90 )

Generally the number students that  own a cell phone in a simple random sample of 15 students is mathematically represented as

              \mu  =  n  *  p

              \mu  =  15 *  0.90

              \mu  =   13.5

Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as

                \sigma  =  \sqrt{ n *  p *  q }

Where  q is mathematically evaluated as

          q =  1- p

           q =  1- 0.90

           q =  0.10

            \sigma  =  \sqrt{ 15 *  0.90 *  0.10 }

            \sigma  = 1.16

Generally the probability that all students in a simple random sample of 15 students own a cell phone is mathematically represented as

   P(X =  15) =  \left 15} \atop {}} \right.C_{15} *  p^{15} *  q^{15 - 15}    

     P(X =  15) =  \left 15} \atop {}} \right.C_{15} *  (0.90)^{15} *  (0.10 )^{15 - 15}

From the combination calculator  is      \left 15} \atop {}} \right.C_{15} =  1

     P(X =  15) = 1 *  0.205891 *  1

      P(X =  15) = 0.206

7 0
3 years ago
A rectangle board is 1.2 meters long and 0.8 meters wide. What is the area of the board in millimeters
ivanzaharov [21]

Answer:

1200*800 = 960,000 mm²

Step-by-step explanation:

1 meter is 1000 mm and 0.8 meter is 800 mm

A=lw

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