Answer:
10x . . . . . (Note the sign of the middle term is negative. 10x goes in the box.)
Step-by-step explanation:
The sum of the two roots is ...
... (5 -3i) +(5 +3i) = 10
In a quadratic with leading coefficient 1, the coefficient of the 1st-degree term is the opposite of the sum of the roots. Here, that means the middle term is -10x. The minus sign is given, so the answer is 10x.
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<em>How Do We Know?</em>
When "a" and "b" are roots of a quadratic in x, it has factors (x -a)(x -b). The product of those two factors is ...
... (x -a)(x -b) = x² -(a+b)x +ab
Here, that means the product of the factors (5 -3i)(5 +3i) is ab = 34, which it is. Their sum is (a+b) = 10, so the x-term is -(a+b)x = -10x.
Slope intercept form: y=-0.25x+2.5
Graph shown below
Answer:-
0
Step-by-step explanation:
h(x) = x^2 + 2x -3
x = 2
h(2) = 2^2 + 2(2) - 3
h(2) = 4 + 4 - 3
h(2) = 8-3
h(2) = 5
x = - 4
h(-4) = (-4)^2 + 2(-4) - 3
h(-4) = 16 - 8 - 3
h(-4) = 16 - 11
h(-4) = 5
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h(2) - h(-4)
5 - 5
0
Answer:
d. is the sum of the probabilities of the sample points in the event.
Step-by-step explanation:
Suppose we have a fair coin then the the sample space S is given by {(H), (T)}
the head and tail are the sample points.
the probability of sample space will be given by the sum of probability of head and tail. P(S)= P(A) + P(B)
1= 1/2+ 1/2
The total probability of the sample space always equals 1
The individual probabilities add up to to give the probability of the sample space.
