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Lena [83]
3 years ago
7

What is the quadratic formula in vertex form?

Mathematics
1 answer:
telo118 [61]3 years ago
8 0

Answer:

See explanation below to use the vertex form to solve a quadratic equation.

Step-by-step explanation:

(x - h)^2 - k = 0, the vertex is (h, -k)

An example below, taking a quadratic equation and completing the square:

x^2 - 2x - 1 = 0

x^2 - 2x = 1

(-2/-2)^2 = 1, add 1 to both sides of the equation.

x^2 - 2x + 1 = 1 + 1

(x - 1)^2 = 2

(x - 1)^2 - 2 = 0

The vertex is (1, -2)

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Those numbers, in greatest to least order, are:

1.823, 0.832, 0.823, 0.732

<span>I hope this helped! Please take the time to rate, pick the Brainliest answer (not necessarily mine!), and thank me if you feel I helped with this question! Thank you, it helps me a lot. :)</span>
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· 100 · (0.7)3. (1 - 0.7)5-3?
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3 years ago
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You could do this with a simple proportion.

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4 years ago
In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0 respectively. If the coefficient sk
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Answer:

a) The third quartile Q₃ = 56.45

b) Variance \mathbf{ \sigma^2 =2633.31}

Step-by-step explanation:

Given that :

Q_1  =  30.8

Median Q_2 =  48.5

Mean  = 42

a) The mean is less than median; thus the expression showing the coefficient of skewness is given by the formula :

SK = \dfrac{Q_3+Q_1-2Q_2}{Q_3-Q_1}

-0.38 = \dfrac{Q_3+30.8-2(48.5)}{Q_3-30.8}

-0.38Q_3  + 11.704  =  Q_3  +30.8  - 97

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Divide both sides by 1.38

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b) The objective here is to determine the approximate value of the variance;

Using the relation

SK_p = \dfrac{Mean- (3*Median-2 *Mean) }{\sigma}

-0.38= \dfrac{42- (3 *48.5-2*42) }{\sigma}

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-0.38* \sigma = {(-19.5) }{}

\sigma =\dfrac {(-19.5) }{-0.38 }

\sigma =51.32

Variance =  \sigma^2 =51.32^2

\mathbf{ \sigma^2 =2633.31}

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4 years ago
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