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Natasha_Volkova [10]
3 years ago
5

Determine if the function is an even function, an odd function or neither. y=-5x^(2)-2x+6

Mathematics
1 answer:
bazaltina [42]3 years ago
8 0
By definition we have:
 A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.
 A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.
 For y = -5x ^ (2) -2x + 6 we have:
 f (-x) = - 5 (-x) ^ (2) -2 (-x) +6
 f (-x) = - 5x ^ (2) + 2x + 6
 Answer:
 
the function is neither
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Bezzdna [24]

Answer:

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Step-by-step explanation:

<u>Voltage Sources in Series</u>

When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.

The figure shown has three voltage sources of values:

2 + 6\mathbf{i}

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The sum of these voltages is:

V_t=4+a+(6+b-5)\mathbf{i}

Operating:

V_t=4+a+(1+b)\mathbf{i}

We know the total voltage is 6-3\mathbf{i}, thus:

4+a+(1+b)\mathbf{i}=6-3\mathbf{i}

Equating the real parts and the imaginary parts independently:

4+a=6

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2 years ago
Find the product of the given polynomials
Rzqust [24]

Option A:

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Step-by-step explanation:

Given polynomials are (5x + 8 – 6x) and (4 + 2x –7).

Let us first simplify the expression:

Combine like terms.

(5x + 8 – 6x) = (5x – 6x + 8) = –x + 8

(4 + 2x –7) = (4 – 7 + 2x) = –3 + 2x

Product of (5x + 8 – 6x) and (4 + 2x –7)

              = (5x + 8 – 6x)(4 + 2x –7)

              = (–x + 8)(–3 + 2x)

Multiply each term of one expression with each term of the other expression.

              = (–x)(–3) + (–x)(2x) + 8(–3) + 8(2x)

              =3x-2x^2-24+16x

Combine like terms and add.

              =(3x+16x)-2x^2-24

              =19x-2x^2-24

Arranging the equation, starting with highest power.

              =-2x^2+19x-24

Hence, the product of the two given polynomials is -2x^2+19x-24.

3 0
2 years ago
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