Answer:
Using the graph as your guide, complete the following statement.
The discriminant of the function is
Step-by-step explanation: Remember a parable of the form f(x) = a, satisfy:
(1) has only one root if and only if [tex] b^2 - 4ac = 0[\tex]
(2) has two real roots if and only if [tex] b^2 - 4ac > 0[\tex]
(3) has two complex roots if and only if [tex] b^2 - 4ac < 0[\tex].
The number b^2 - 4ac is called the discriminant of the parable f(x).
From the graph we can see that the parable has only one root approx in x =1. Thus from point (1) we can conclude that the discriminant should be zero.
PD: a root of a polynomial f(x) is a number a such thast f(a) =0.
The answer is A.
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Answer:
The answers are A and C
Step-by-step explanation:
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Let the required point be (a,b)
The distance of (a,b) from (7,-2) is
=
But this distance needs to be betweem 50 & 60
So
Squaring all sides
2500 < (a-7)² + (b+2)² < 3600
Let a = 7
So we have
2500 < (b+2)² <3600
b+2 < 60 or b+2 > -60 => b <58 or b > -62
Also
b+2 >50 or b + 2 < -50 => b >48 or B < -52
Let us take one value of b < 58 say b = 50
So now we have the point as (7, 50)
The other point is (7,-2)
Distance between them
=
This is between 50 & 60
Hence one point which has a distance between 50 & 60 from the point (7,-2) is (7, 50)
Answer:
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Step-by-step explanation:
thet the answer