Answer:
x = 2 + √3 and
x = 2 - √3
Step-by-step explanation:
Please use " ^ " to denote exponentiation: x^2 - 4x + 1 = 0.
Here you have multiple choices of methods of solution:
quadratic formula, completing the square, graphing, and so on.
If we complete the square, then: x^2 - 4x + 1 = 0 becomes
x^2 - 4x + 4 - 4 + 1 = 0, or
(x - 2)^2 = 3
Taking the square root of both sides, we get x - 2 = ±√3, so that the roots are:
x = 2 + √3 and
x = 2 - √3
Answer:
57
Step-by-step explanation:
The player has a 1/4 chance of drawing any of the 4 prizes. This means that the probability of drawing a prize of $4 is 1/2 because there are 2 prizes worth of $4. The probability of drawing a prize of $20 is 1/4 and the probability of drawing a prize of $200 is also 1/4. To find the fair price of the game, we have to calculate the expected value that the player will gain. This can be obtained by multiplying any possible value of a price for the probability of drawing a prize of that value and adding all the obtained values togueter. Thus, the fair price of the game is
Answer:
2
Step-by-step explanation:
the way I remember is that Egypt is always the top right country
Answer:
4.
Step-by-step explanation:
Brainiest please!
Answer:
(y - 25) = - 0.25(x - 20)
Step-by-step explanation:
Given that :
Height of candle after burning for 20 minutes = 25 cm
Height after burning for 1 hr (60 minutes) = 10 cm
Height (y) in cm of candle x minutes after being lit:
Using the equation :
(y - y1) = m(x - x1)
m = (change in y / change in x)
Change in height within 60 minutes :
Height at 20 minutes = 25cm
Height after an hour = 10
Change in height per hour = (25 - 10) = 15cm
Hence, m = change in height per minute
15cm / 60 = 0.25cm ( - 0.25) (decrease in height)
y1 = 25 ; x1 = 20
(y - y1) = m(x - x1)
(y - 25) = - 0.25(x - 20)
