Use synthetic division to determine whether the number k is an upper or lower bound (as specified for the real zeros of the func
tion f). k = 2; f(x) = 2x3 + 4x2 + 2x - 4; Lower bound?
2 answers:
Answer: k = 2 is the upper bond of the given equation.
Step-by-step explanation:
Here, Given function,
;
Since, the coefficient of = 2
The coefficient of = 4
The coefficient of = 2
And, the constant term = - 4
By applying the synthetic division with 2,
The terms in the upper row = 2, 4, 2 and - 4
The terms in the middle row = 4, 16 and 36
And, the terms in the bottom row = 2, 8, 18 and 32
Since, 2> 0 and all the sign in the bottom row are positive.
Thus, 2 is the upper bond for real roots of this equation.
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Answer:
The geometrical relationships between the straight lines AB and CD is that they have the same slope
Step-by-step explanation:
Given
Required
The relationship between AB, CD
Since AB is a straight line and O is the origin, then:
Where:
====>
====>
This implies that:
So:
So, we have:
Calculate the slope (m) of
For AB
For CD
By comparison:
This implies that both lines have the same slope
Answer:
Therefore the number of brown shells in each necklace was = 2 brown shells.
Step-by-step explanation:
If Julie made identical necklaces then we can say that number of each different colored shells were equally distributed among the necklaces.
So we can say that to find the number of necklaces we have to find the GCD (greatest common denominator) of the different colored shells.
Therefore the GCD of 10, 15 and 20 is 5.
Therefore Julia made 5 necklaces.
Therefore the number of brown shells in each necklace was = = 2 shells.