What is the relationship between the discriminant of a quadratic and its graph?
1 answer:
Answer:
In a quadratic equation of the shape:
y = a*x^2 + b*x + c
we hate that the discriminant is equal to:
D = b^2 - 4*a*c
This thing appears in the Bhaskara's formula for the roots of the quadratic equation:
You can see that the determinant is inside a square root, this means that if D is smaller than zero we will have imaginary roots (the graph never touches the x-axis)
If D = 0, the square root term dissapear, and this implies that both roots of the equation are the same, this means that the graph touches the x axis in only one point, wich coincides with the minimum/maximum of the graph)
If D > 0 we have two different roots, so the graph touches the x-axis in two different points.
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Answer:
Step-by-step explanation:
From Bayes' theorem is stated mathematically as the following equation:[2]
{\displaystyle P(A\mid B)={\frac {P(B\mid A)\,P(A)}{P(B)}},}
where A and B are events and P(B) ≠ 0.
P(A) and P(B) are the probabilities of observing A and B without regard to each other.
P(A | B), a conditional probability, is the probability of observing event A given that B is true.
P(B | A) is the probability of observing event B given that A is true.
At this point, go through the attached file before you continue with part B.
Part B)
P(silver) = P(silver from SS)+P(silver from GS)
note P(SS)=P(GG)=P(GS) = 1/3
P(silver from SS) = 1
P(silver from GS) = 1/2
hence
P(Silver from SS) = 1/3
P(Silver from GS) = 1/3 *1/2
P(Silver) = 1/3*1+1/3*1/2
required probability = P(Silver from SS)/P(Silver) = 2/3
