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Yuri [45]
2 years ago
13

Find the value of x cubed minus 2x squared minus 7x + 5 of x=1/2-√3 ​

Mathematics
1 answer:
Svetach [21]2 years ago
6 0

9514 1404 393

Answer:

  3

Step-by-step explanation:

For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...

  f(x) = ((x -2)x -7)x +5

and ...

  x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3

Then ...

  f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5

  = (3+2√3 -7)(2+√3) +5

  = 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5

  f(1/(2 -√3)) = 3

_____

If you really mean x = (1/2) -√3, then f(x) = (42√3 -3)/8.

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¿Cuál es la ecuación de la recta con pendiente -2 y el punto (4, 10)?
Sophie [7]

The general slope-intercept form equation is:

\begin{gathered} y=mx+b \\ \text{Wher m is the slope and b is the y-intercept value} \end{gathered}

In this case, m=-2 and with the point (4, 10) we can find the value of b:

\begin{gathered} We\text{ evalute the equation in the point (x, y) = (4 , 10):} \\ 10=-2\cdot4+b \\ 10=-8+b \\ b=10+8=18 \end{gathered}

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4 0
1 year ago
Suppose the number of radios in a household has a binomial distribution with parameters n=11 and p=40%. Find the probability of
Ivenika [448]

Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x=r) = nCr × q^(n-r) × p^r

From the information given,

n = 11

p = 40% = 40/100 = 0.4

q = 1 - 0.4 = 0.6

x represent the number of radios

a) P( x = 1) or P(x = 9)

P(x = 1) = 11C1 × 0.6^(11-1) × 0.4^1

P(x = 1) = 0.027

P(x = 9) = 11C9 × 0.6^(11-9) × 0.4^9

P(x = 9) = 0.0052

P( x = 1) or P(x = 9) = 0.027 + 0.0052 = 0.0322

b) P(x lesser than or equal to 7) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6)

P(x = 0) = 11C0 × 0.6^(11-0) × 0.4^0 = 0.004

P(x = 1) = 0.027

P(x = 2) = 11C2 × 0.6^(11-2) × 0.4^2 = 0.089

P(x = 3) = 11C3 × 0.6^(11-3) × 0.4^3 = 0.177

P(x = 4) = 11C4 × 0.6^(11-4) × 0.4^4 = 0.24

P(x = 5) = 11C5 × 0.6^(11-5) × 0.4^5 = 0.22

P(x = 6) = 11C6 × 0.6^(11-6) × 0.4^6 = 0.15

P(x = 7) = 11C7 × 0.6^(11-7) × 0.4^7 = 0.15

P(x lesser than or equal to 7) = 0.004 + 0.027 + 0.089 + 0.177 + 0.24 + 0.22 + 0.15 + 0.07 = 0.977

c) P(x greater than or equal to 5) = 1 - P(x lesser than or equal to 4) = 1 - (0.004 + 0.027 + 0.089 + 0.177 + 0.24) = 1 - 0.537 = 0.463

d) P(x lesser than 9) = P(x lesser than or equal to 7) + P(x = 8)

P(x = 8) = 11C8 × 0.6^(11-8) × 0.4^8 = 0.02

P(x lesser than 9) = 0.977 + 0.02 = 0.997

e. P(x greater than 7) = 1 - P(x lesser than or equal to 7) = 1 - 0.977 = 0.023

5 0
3 years ago
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