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RSB [31]
3 years ago
9

What are the roots of -12x2 + 11x − 3 = 0?

Mathematics
1 answer:
PolarNik [594]3 years ago
5 0
This quadratic does not have any real roots.
It is a parabola that opens downward with vertex at (11/24, -.48) which means the vertex is below the x-axis and therefore will not have any real roots.

Imaginary roots would be
x = [11 +- sqrt (121 - 4(-12)(-3)] / (-24)
x = [11 + - i sqrt(23) ] / (-24)
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alisha [4.7K]

Answer:

1 < x < 19

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

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Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We are given the measures y=10, z=9. The third side must satisfy:

10 - 9 < x < 10 + 9

1 < x < 19

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

8 0
4 years ago
Which of the following is true of the data represented by the box plot
zmey [24]

Answer:

The data is skewed to the bottom and contains an outlier.  

Step-by-step explanation:

1. Test for outlier

An outlier is a point that is more than 1.5IQR below Q1 or above Q3.  

IQR = Q3 - Q1 = 74 - 51 = 23

1.5 IQR  = 1.5 × 23 = 34.5

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The point at 15 is an outlier.

2. Test for normal distribution

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Rather, it cuts the box into two unequal parts, so the data does not have a normal distribution.

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4 0
3 years ago
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NISA [10]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
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