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dalvyx [7]
2 years ago
9

Is x^2 -4x = =4x +7 a quadratic equation

Mathematics
1 answer:
Tems11 [23]2 years ago
3 0

Answer:

x=4+√23 , 4-√23

Step-by-step explanation:

x^2-4x=4x+7

x^2-8x-7=0

now solving from quadratic equation

x=4+√23 , 4-√23

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A random variableX= {0, 1, 2, 3, ...} has cumulative distribution function.a) Calculate the probability that 3 ≤X≤ 5.b) Find the
olchik [2.2K]

Answer:

a) P ( 3 ≤X≤ 5 ) = 0.02619

b) E(X) = 1

Step-by-step explanation:

Given:

- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:

                    F(X) = P ( X =< x) = 1 - \frac{1}{(x+1)*(x+2)}

Find:

a.Calculate the probability that 3 ≤X≤ 5

b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that

Solution:

- The CDF gives the probability of (X < x) for any value of x. So to compute the P (  3 ≤X≤ 5 ) we will set the limits.

                   F(X) = P ( 3=

- The Expected Value can be determined by sum to infinity of CDF:

                   E(X) = Σ ( 1 - F(X) )

                   E(X) = \frac{1}{(x+1)*(x+2)} = \frac{1}{(x+1)} - \frac{1}{(x+2)} \\\\= \frac{1}{(1)} - \frac{1}{(2)}\\\\= \frac{1}{(2)} - \frac{1}{(3)} \\\\=  \frac{1}{(3)} - \frac{1}{(4)}\\\\= ............................................\\\\=  \frac{1}{(n)} - \frac{1}{(n+1)}\\\\=  \frac{1}{(n+1)} - \frac{1}{(n+ 2)}

                   E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]  

                   E(X) = 1

8 0
3 years ago
X^2-8x+16 divided by ax-4x numerator
Vedmedyk [2.9K]

Answer:

Given:

1). x^2-8x+16 divided by x-4

⇒ \frac{x^2-8x+16}{x-4}

⇒ \frac{x^2-2\times x\times 4+4^2}{x-4}

By factorising numerator by using identity, (a-b)^2=a^2-2\times a \times b +b^2

⇒ \frac{(x-4)^2}{x-4}

⇒ \frac{(x-4)\times(x-4)}{x-4}

⇒ x-4  <u> {Answer}</u>

2). 3x^2y divided by 6xy^2

⇒ \frac{3x^2y}{6xy^2}

⇒\frac{3\times x\times x\times y}{6\times x\times y\times y}

⇒ <u>\frac{x}{2y}</u>  <u>{ Answer}</u>

4 0
3 years ago
Quadratic equation has 5x+0 as a linear factor what value is a zero of the associated quadratic function.
natka813 [3]

9514 1404 393

Answer:

  x = 0

Step-by-step explanation:

The zero is the value of x that makes the linear factor zero:

  5x +0 = 0

  5x = 0 . . . . . simplify

  x = 0/5 = 0 . . . . divide by 5

The associated zero is x = 0.

7 0
3 years ago
Me ayuden por favor es para Hoy ✌✌​
DIA [1.3K]

ninguna de las preguntas se puede dividir, pero puede simplificar la última.

Lo siento pero, Espero que esto sea de ayuda!

8 0
3 years ago
La caja rectangular que se ilustra en la figura tiene dimensiones de 8° x 6° x 4°. Calcule el ángulo ∅ formado por una diagonal
Klio2033 [76]

Answer:

really, hola adios si si si

Step-by-step explanation:

4 0
3 years ago
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