Create the quadratic function that contains the points (0-2), (1, 0) and (3, 10). Show all of your work for full credit.
1 answer:
Answer:
My graphing calculator tells me the function is
.. f(x) = x^2 +x -2
_____
Since we recognize the y-intercept as being (0, -2), we only need to find the coefficients of x and x^2.
If you want to do this by hand, you can use
.. y = ax^2 +bx -2
to write 2 equations in a and b for the (x, y) values (1, 0) and (3, 10).
.. 0 = a +b -2
.. 10 = 9a +3b -2
To solve by substitution, you can let a = 2-b, and you have
.. 10 = 9(2 -b) +3b -2
.. 6b = 6 . . . . . . . . . . . add 6b-10
.. b = 1
.. a = 2 -1 = 1
Step-by-step explanation:
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Answer:
The probability that she wins exactly once before she loses her initial capital is 0.243.
Step-by-step explanation:
The gambler commences with $30, i.e. she played 3 games.
Let <em>X</em> = number of games won by the gambler.
The probability of winning a game is, <em>p</em> = 0.10.
The random variable <em>X</em> follows a Binomial distribution, with probability mass function:
Compute the probability of exactly one winning as follows:
Thus, the probability that she wins exactly once before she loses her initial capital is 0.243.
Answer:
Step-by-step explanation:
first, convert 37.10 into a fraction. it will be . next, divide the two fractions using keep, change, flip. (keep the first fraction, change the sign into the multiplication sign, and flip the second fraction) you will get
×
=
. you need the multiply the numerator by the numerator and the denominator by the denominator. next, to simplify, divide both the numerator and denominator by 2 and you will get
:)