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Westkost [7]
3 years ago
9

Expand (x+2)(x2+x+1)​

Mathematics
2 answers:
Alexandra [31]3 years ago
6 0

Answer:

x³ + 3x² + 3x + 2

Step-by-step explanation:

Given

(x + 2)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 1) + 2(x² + x + 1) ← distribute both parenthesis

= x³ + x² + x + 2x² + 2x + 2 ← collect like terms

= x³ + 3x² + 3x + 2

svetoff [14.1K]3 years ago
4 0

Answer:

x³+3x²+3x+2

Step-by-step explanation:

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The point slope formula:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

(2,\ -3)\to x_1=2,\ y_1=-3\\(4,\ 2)\to x_2=4,\ y_2=2

Substitute:

m=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}=2.5\\\\y-(-3)=2.5(x-2)\\\\y+3=2.5x-5\ \ \ \ |+5\\\\y+8=2.5x\ \ \ \ \ \ |-y\\\\2.5x-y=8\ \ \ \ \ |\cdot2\\\\\boxed{5x-2y=16}

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Which of these is an example of the Commutative property of addition? And Explain why? 3+5=4+4 or 3+5=5+3
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Answer:

3+5=5+3

Step-by-step explanation:

Because the commutative property means 'flip-flop'

Hope this helps! = )

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Are snow days a thing of the past or do they still have a place in today's world? Answer whether or not you believe the Mayor an
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We can use the formula, density = mass over volume, to find the density of a substance. A square metal plate has a density of 10
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3 years ago
Paladin furnishings generated $4 million in sales during 2021, and its year end total assets were $3.2 million. also, at year en
ElenaW [278]

Without having to raise funds externally sales could increase by $84,507.04.

Given that $4 million sales in 2021 and in end of the year total assets are $3.2, current liabilities are $500,000, payable notes are $200,000, accounts payable is $200,000 and accrued liabilities are $100,000 and in 2022 assets must increase by $.80 for every $1.00 increase in sales.

The amount of sales increase that the company can achieve without having to raise funds externally is calculated by multiplying the current year sales with the self-supporting growth rate.

Current Year Sales = $4,000,000

Profit Margin = 3.00%

Dividend Payout Ratio = 50%

Therefore, the Retention Ratio = 50%

Total Spontaneous Liabilities is, $200,000 + $100,000=$300,000

Last Year Total Assets = $3,200,000

Therefore, the Self-supporting Growth Rate=Addition to Retained Earnings÷[Total Assets–Total Spontaneous Liabilities-Addition to Retained Earnings]

= [Last year sales×Profit Margin×(1-Dividend Payout Ratio)]÷[Total Assets-Total Spontaneous Liabilities-Addition to Retained Earnings]

= [$4,000,000×0.03×(1–0.50)]÷[$3,200,000-$300,000–{[$4,000,000×0.04×(1–0.050)}]

= $60,000÷[$3,200,000-$300,000-$60,000]

= $80,000÷$2,840,000

= 0.02112676 or 2.112676%

Therefore, the increase in sales that the company can achieve without having to raise funds externally = Last Year Sales×Self-supporting Growth Rate

= $4,000,000×2.112676%

= $84,507.04

Hence, the Increase in Sales so the company achieve without having to raise funds externally $84,507.04”

Learn about profit margin from here brainly.com/question/5193190

#SPJ4

7 0
2 years ago
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