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Anestetic [448]
3 years ago
10

According to the rational root theorem, which answer is not a possible rational root of x^3+9x^2-x+8=0

Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

6

Step-by-step explanation:

The rational root theorem states that the roots must be factors of p/q

where p is the constant and q is the coefficient of the highest order term

p = 8  which has factors ±1, ±2,±4,±8

q  = 1 which has factors ±1

The possible roots are ±1, ±2,±4,±8

                                        --------------------

                                           ±1

which simplifies to

±1, ±2,±4,±8

6 is not a possible root

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18 + 81 = 9(x²<span> + 6x + 9)
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When we are completing the square, we are going to move the value of c across the equals.  We will do that by adding, and end up with

18=9(x²+6x)

We take the value of b (the coefficient of x), divide it by 2 and square it:
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This is the value that completes the square.  However, since the entire square is multiplied by 9, this value must be multiplied by 9 before we can add it across the equals:
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Dividing both sides by 9, we have:
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The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2
Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

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In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered  minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

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<u><em>The maximum power generated by the circuit is 300 watts.</em></u>

7 0
3 years ago
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Afina-wow [57]

Answer:

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