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VLD [36.1K]
3 years ago
12

Identify from the graph if there is correlation, and

Mathematics
2 answers:
svetoff [14.1K]3 years ago
5 0

Answer:

The answer is B) There is a correlation, and it is negative.

sleet_krkn [62]3 years ago
3 0
The answer is negative
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K = 13The smallest zero or root is x = -10
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4 years ago
A student claims that 2i is the only imaginary root of a polynomial equation that has real coefficients. Explain the student's m
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Answer:

The Fundamental Theorem of Algebra assures that any polynomial  f(x)=0 whose degree is n ≥1 has at least one Real or Imaginary root. So by the Theorem we have infinitely solutions, including imaginary roots ≠ 2i

Step-by-step explanation:

1) This claim is mistaken.

2) The Fundamental Theorem of Algebra assures that any polynomial  f(x)=0 whose degree is n ≥1 has at least one Real or Imaginary root. So by the Theorem we have infinitely solutions, including imaginary roots ≠ 2i with real coefficients.

a_{0}x^{n}+a_{1}x^{2}+....a_{1}x+a_{0}

For example:

3) Every time a polynomial equation, like a quadratic equation which is an univariate polynomial one, has its discriminant following this rule:

\Delta < 0\\b^{2}-4*a*c

We'll have <em>n </em>different complex roots, not necessarily 2i.

For example:

Taking 3 polynomial equations with real coefficients, with

\Delta < 0

-4x^2-x-2=0 \Rightarrow S=\left \{ x'=-\frac{1}{8}-i\frac{\sqrt{31}}{8},\:x''=-\frac{1}{8}+i\frac{\sqrt{31}}{8} \right \}\\-x^2-x-8=0 \Rightarrow S=\left\{\quad x'=-\frac{1}{2}-i\frac{\sqrt{31}}{2},\:x''=-\frac{1}{2}+i\frac{\sqrt{31}}{2} \right \}\\x^2-x+30=0\Rightarrow S=\left \{ x'=\frac{1}{2}+i\frac{\sqrt{119}}{2},\:x''=\frac{1}{2}-i\frac{\sqrt{119}}{2} \right \}\\(...)

2.2) For other Polynomial equations with real coefficients we can see other complex roots ≠ 2i. In this one we have also -2i

x^5\:-\:x^4\:+\:x^3\:-\:x^2\:-\:12x\:+\:12=0 \Rightarrow S=\left \{ x_{1}=1,\:x_{2}=-\sqrt{3},\:x_{3}=\sqrt{3},\:x_{4}=2i,\:x_{5}=-2i \right \}\\

4 0
3 years ago
yesterday, there was 80 problems assigned for math homework. harry did 20% of them correctly. how ,many problems did harry get r
Igoryamba
400 i think i am pretty sure but if it's wronge i apolize 


3 0
3 years ago
Read 2 more answers
An urn contains 4 black and 5 white balls. A ball is drawn at random and then replaced, and then a second ball is drawn. Find th
valkas [14]

Answer:

Probability = 0.2470

Step-by-step explanation:

Given

Black = 4

White = 5

Total = 9 i.e. 5 + 4

Required

Determine P(Black\ and\ White)

In probability;

P(A\ and\ B) = P(A) * P(B)

So:

P(Black\ and\ White) = P(Black) * P(White)

<em>i.e. multiply the probability of selecting black by that of selecting white</em>

P(Black\ and\ White) = \frac{n(Black)}{Total} * \frac{n(White)}{Total}

P(Black\ and\ White) = \frac{4}{9} * \frac{5}{9}

Probability = \frac{20}{81}

Probability = 0.2470

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3 years ago
-3x+2≤-10
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-3x+2 (is less than ) -10-2-2-3x ( is less than) -12 divided by -3 divided by -3x ( is greater than) 4. That was REALLY confusing. I hope I helped you.
5 0
3 years ago
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