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Oduvanchick [21]
2 years ago
6

Write the quadratic equation in standard form: 7x + 8 + 2x2 2x + 1 + x2

Mathematics
1 answer:
JulsSmile [24]2 years ago
5 0

Answer:

3x^2 + 9x  +9

Step-by-step explanation:

Given

(7x + 8 + 2x^2) + (2x + 1 + x^2)

Required

The result in standard form

We have:

(7x + 8 + 2x^2) + (2x + 1 + x^2)

Remove brackets

7x + 8 + 2x^2 + 2x + 1 + x^2

Collect like terms

7x+ 2x  + 8 + 1 + 2x^2+ x^2

9x  + 9+ 3x^2

The standard form of a quadratic equation is:

ax^2 + bx + c

So, we have:

9x  + 9+ 3x^2

3x^2 + 9x  +9

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Put it into standard form so you would have

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If each interior angle of a regular polygon measures ​120 , how many sides does the polygon​ have?
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3 years ago
A financial advisor is analyzing a family's estate plan. The amount of money that the family has invested in different real esta
Pachacha [2.7K]

Answer:

The amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

Step-by-step explanation:

Let the random variable <em>X</em> represent the amount of money that the family has invested in different real estate properties.

The random variable <em>X</em> follows a Normal distribution with parameters <em>μ</em> = $225,000 and <em>σ</em> = $50,000.

It is provided that the family has invested in <em>n</em> = 10 different real estate properties.

Then the mean and standard deviation of amount of money that the family has invested in these 10 different real estate properties is:

\mu_{\bar x}=\mu=\$225,000\\\\\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{50000}{\sqrt{10}}=15811.39

Now the lowest 80% of the amount invested can be represented as follows:

P(\bar X

The value of <em>z</em> is 0.84.

*Use a <em>z</em>-table.

Compute the value of the mean amount invested as follows:

\bar x=\mu_{\bar x}+z\cdot \sigma_{\bar x}

   =225000+(0.84\times 15811.39)\\\\=225000+13281.5676\\\\=238281.5676\\\\\approx 238281.57

Thus, the amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

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3 years ago
(1 point) Divide and simplify your answer.
VashaNatasha [74]

Answer:

18.174x

Step-by-step explanation:

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3 years ago
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