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3 years ago

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

Mathematics

1 answer:

Dmitry [639]3 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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The initial value is 65 since that is the y intersept.

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3 years ago

Work out 1 3/4 x 4 1/6

sattari [20]

Convert mixed number to improper fraction:

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4 years ago

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Step-by-step explanation:

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4 years ago

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3 years ago

DOES ANYONE KNOW HOW TO DO THIS????????

Harrizon [31]

1. r closest to 1: Figure 4

2. Least signs of linear relationship: Figure 1

3. r equal to -1: Figure 3

Step-by-step explanation:

Correlation is the link between two things or variables.

The scatter plots can be used to determine the correlation values for given sets of data.

If both values are increasing, then the correlation is positive

If one value is increasing and the other is decreasing then the correlation is negative

So,

In the given pictures

Figure 4 has the correlation coefficient closest to 1 as both values are increasing but the data points are not in a straight line so r will be close to 1.

Figure 3 has the correlation coefficient equal to one as one value is increasing and the other is decreasing. And the points are in a straight line so r will be equal to one.

As the data points in Figure 1 are more scattered so there will be no relationship between two quantities.

So, the answers are as follows

1. r closest to 1: Figure 4

2. Least signs of linear relationship: Figure 1

3. r equal to -1: Figure 3

Keywords: Correlation, Data set

Learn more about correlation at:

#LearnwithBrainly

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3 years ago