The function y=kx is given in the table. Find the coefficient k and fill in the table.
2 answers:
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Answer:
Option D and
Step-by-step explanation:
step 1
<u>Find the equation of the inequality A</u>
we know that
The solution of the inequality A (dashed line) is the shaded area below the dashed line
The equation of the dashed line is
therefore
The equation of the inequality A is
step 2
<u>Find the equation of the inequality B</u>
we know that
The solution of the inequality B (solid line) is the shaded area below the solid line
The equation of the solid line is
therefore
The equation of the inequality B is
The system of linear inequalities is
and
Answer:
C) p(x) has a zero between x=2 and x=4
Step-by-step explanation:
For a polynomial p(x), means that, when p(x) is divided by
, the remainder is
.
This is called the remainder theorem
Therefore ,
means that when p(x) is divided
and
is 1 and
respectively.
Also the Intermediate value theorem says that, if p(a) and p(b) have opposite signs then there is a certain on
where
i.e there is a zero between
and
Therefore the correct answer is C