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nika2105 [10]
3 years ago
6

If a quadratic equation has a real root, what do you know about the other roots of the equation? Explain.

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

Answer:

A Quadratic Equation can have upto 2 roots maximum. So,if one of the roots is a Real number, there are following two possibilities:

1) The other root is also a real number, but a different number

2) Its a repeated root, so the other root is the same number.

The other root cannot be a complex number as its not possible for one root to be real and other to be complex. Either no root will be complex or both will be complex roots.

Following are 3 possibilities for the roots of a quadratic equation:

  1. 2 Real and Distinct roots
  2. 2 Real and Equal roots
  3. 2 Complex roots
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Answer: I believe this will be your answer for this.

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<u>(hope this helps!)</u>

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Find the surface area of a cylinder with a diameter of 18 and a height of 32. Use 3.14 for π. Round your answer to the nearest t
Ksenya-84 [330]

Answer: a = 2,315.5

Step-by-step explanation:

a = 2πrh+2πr²

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a = 2π x 288 + 2π x 81

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a = 2,315.5

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Answer:

C.)  f(x) = −4x + 200

Step-by-step explanation:

Since the number is decreasing, you know the slope will be negative, eliminating the first two choices. The equation in the last choice does not match the given data, so it can be eliminated.

In other words, the easiest way to solve this problem is to check the answers against the given data.

_____

If you want to write the equation from scratch, you need to find the slope. That is ...

 (change in number of cars)/(change in weeks) = (184 -192)/(4 -2) = -8/2 = -4

This matches only one answer, but you can go on to finish the equation by starting with point-slope form:

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3 0
3 years ago
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nadya68 [22]

Using the Central Limit Theorem, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.

<h3>What does the Central Limit Theorem state?</h3>

  • It states that the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.
  • By the Empirical Rule, 95% of the sample means fall within 2 standard errors of the mean.

In this problem, we have that the standard deviation and the sample size are given as follows:

\sigma = 10.34, n = 400

Hence the standard error is given by:

[tex]s = \frac{10.34}{\sqrt{400}} = 0.517.

Two standard errors is represented by:

2 x 0.517 = $1.034.

Hence, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.

More can be learned about the Central Limit Theorem at brainly.com/question/24663213

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2 years ago
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