A system of inequalities is shown.
1 answer:
The required system hence becomes
3x-y+4>0,
y + 6 > (x + 2)²
When the symbols “>”, “<”, “≥”, “≤”, are used to connect two real numbers or algebraic expressions, that relationship is known as an inequality.
The Graph is given below of the given problem statement.
Observe that the parabola y=x² has vertex at (0,0) we can shift the vertex to (-2,-6) to get the parabola
y + 6 = (x + 2)²
And the inequality is
y + 6 > (x + 2)²
Hence, this parabola is as required by the problem.
And the line passing through (-3,-5) and (0,4) is
The required inequality hence becomes
3x-y+4>0
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Answer:
.
Step-by-step explanation:
According to the Rational Root Theorem, the potential roots of a polynomial are
where, p is a factor of constant and q is a factor of leading term.
The given polynomial is
Here, 9 is the leading term and 7 is constant.
Factors of 9 are ±1, ±3, ±9.
Factors of 7 are ±1, ±7.
Using rational root theorem, the rational or potential roots are
Therefore, the potential root of f(x) are .