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REY [17]
3 years ago
11

Given y= 2x squared - 10x find all the real values of x for which y = -3

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0
y=2 x^{2} -10x \\ -3=2 x^{2} -10x \\ 2 x^{2} -10x+3=0 \\ x=\frac{-b \pm \sqrt{ b^{2} -4ac} }{2a}, \ where \ a=2, \ b=-10, \ c=3
Therefore,
x=\frac{-(-10) \pm \sqrt{ (-10)^{2} -(4 \times 2 \times 3)} }{2 
\times 2} \\ =\frac{10 \pm \sqrt{ 100 -24} }{4} \\ =\frac{10 \pm \sqrt{ 
76} }{4} \\= \frac{10 + \sqrt{ 76} }{4}  \ or \ \frac{10 - \sqrt{ 76} 
}{4}  \\ =4.679 \ or \ 0.3206


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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
Pleassssseee heelelllppp
alexgriva [62]

Answer:

Ten Peaches and five bananas.

Step-by-step explanation

To solve the problem increase the cost by adding more peaches and less by adding more bananas

7 peaches = 3.50

8 bananas = 3.20 + 3.50 = 6.70

We need 30 more cents so add three more peaches

10 peaches = 5

5 x 0.4 = 2

2 + 5 = 7

5 0
2 years ago
Simplify: 7·(a+5)–30 =
postnew [5]

Answer:

7a + 5

Step-by-step explanation:

Distribute using PEMDAS.


7 0
3 years ago
PLS ANSWER THE BELOW QUESTION AND I'LL MARK U AS BRAINLIST
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

a) \dfrac{3x}{2}-5=4

Add 5 to both sides

\dfrac{3x}{2}-5 +5 = 4 + 5\\\\\dfrac{3x}{2} = 9 \\\\Now \ multiply \ both \ sides  \ by  \  2 \\\\\dfrac{3x}{2}*2 = 9*2\\\\3x = 18\\Now \ divide \ both \ sides  \ by \ 3\\\\x =\dfrac{18}{3}\\\\

x = 6

b) \dfrac{x-3}{5} + 1 = -2\\\\\\Subtract \ 1 \ from  \ both \ sides\\\\\dfrac{x-3}{5} = -2 -1\\\\\dfrac{x-3}{5} = -3\\\\Multiply \ both \ side \ by \ 5\\\\x - 3 = -3*5\\\\x -3 = -15\\\\

Add 3 to both sides

x = -15 +3

x = -12

7 0
2 years ago
Read 2 more answers
{(2,-4),(3,-4),(4,-4),(5,-4),(6,-4)}
Musya8 [376]

Answer:

I agree with Selena. Since the x's do not repeat, it is a function.

Step-by-step explanation:

3 0
2 years ago
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