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aleksley [76]
3 years ago
7

A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of –16. How many real number solutions does the equat

ion have? help me please
Mathematics
1 answer:
den301095 [7]3 years ago
6 0
When the discrimiatnt is less than 0, the equation has 2 complex roots (0 real roots)

-16<0

it is less than 0

there are 0 real solutions
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Answer:

μ = 235.38

σ = 234.54

Step-by-step explanation:

Assuming the table is as follows:

\left[\begin{array}{cc}Savings&Frequency\\\$0-\$199&339\\\$200-\$399&86\\\$400-\$599&55\\\$600-\$799&18\\\$800-\$999&11\\\$1000-\$1199&8\\\$1200-\$1399&3\end{array}\right]

This is an example of grouped data, where a range of values is given rather than a single data point.  First, find the total frequency.

n = 339 + 86 + 55 + 18 + 11 + 8 + 3

n = 520

The mean is the expected value using the midpoints of each range.

μ = (339×100 + 86×300 + 55×500 + 18×700 + 11×900 + 8×1100 + 3×1300) / 520

μ = 122400 / 520

μ = 235.38

The variance is:

σ² = [(339×100² + 86×300² + 55×500² + 18×700² + 11×900² + 8×1100² + 3×1300²) − (520×235.38²)] / (520 − 1)

σ² = 55009.7

The standard deviation is:

σ = 234.54

6 0
3 years ago
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KIM [24]

Answer:

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Write the polynomial in standard form 7x+3+5x^2
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It’s should 5x^2+7x+3 in standard form
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Step-by-step explanation:

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The table shows data from a travel agency, representing the number of guests on a trip (x) and the estimated dollar
Arlecino [84]

The slope of the best fit for the 3 given points is 500, so the correct option is b.

<h3>How to find the slope?</h3>

Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

s = \frac{y_2 - y_1}{x_2 - x_1}

With the 3 given points we can find 3 slopes, and then we will need to find the average of these 3.

The 3 points are: (3, 2,750), (6, 4,200), and (9,5,750)

Then the 3 slopes are:

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If you want to learn more about slopes:

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