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Oliga [24]
2 years ago
8

Determine the number of roots, using the most efficient method possible.

Mathematics
1 answer:
Dmitry [639]2 years ago
7 0

Answer:

2 roots in every case, not all are real.

Step-by-step explanation:

All of these equations are quadratic equations (degree 2). Every quadratic has two roots. They may be identical (looks like 1 root), and they may be complex (zero real roots), but there are always 2 of them.

a) the y-value of the vertex is negative and the parabola opens downward (leading coefficient -5), so there are no real zeros and both roots are complex.

b) each binomial factor contributes a root. Both roots are real.

c) the discriminant is positive, (3²-4·2·1=1), so both roots are real.

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2 years ago
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A student estimated a mass of 250grams, according to the scale the mass is actually 240grams. What is the percent error? (round
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Answer:

4.2%

Step-by-step explanation:

percent error = (estimated value - actual value)/(actual value) × 100%

Here, the estimated value is 250 g, and the actual value is 250 g.

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Answer:

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Step-by-step explanation:

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3 years ago
 Solve each system by graphing.
Kryger [21]

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Answer:

  (x, y) = (4, -4)

Step-by-step explanation:

A graphing calculator makes graphing very easy. The attachment shows the solution to be (x, y) = (4, -4).

__

The equations are in slope-intercept form, so it is convenient to start from the y-intercept and use the slope (rise/run) to find additional points on the line.

The first line can be drawn by staring at (0, -2) and moving down 1 grid unit for each 2 to the right.

The second line can be drawn by starting at (0, 2) and moving down 3 grid units for each 2 to the right.

The point of intersection of the lines, (4, -4), is the solution to the system of equations.

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Please help me!! This a mathematical question. I will be so happy if someone helps me‍♂️
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Answer:

The answer is the fourth one.

\frac{1}{r^7} +\frac{1}{s^12}

Step-by-step explanation:

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