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Novosadov [1.4K]
3 years ago
5

The model represents the factorization of 2x2+5x+3.

Mathematics
1 answer:
Lapatulllka [165]3 years ago
3 0

Answer:

(2x+3)(x+1)

Step-by-step explanation:

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Solve 5y^2+20=80, where y is the real number
soldi70 [24.7K]

Answer:

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Step-by-step explanation:

5y2+20=80

Step 1: Subtract 20 from both sides.

5y^2+20−20=80−20

5y^2=60

Step 2: Divide both sides by 5.

5y^2 /5 = 60/5

y2=12

Step 3: Take square root.

y=√12

y=2√3

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twelve rolls of commercial-grade paper towels come in one case costing $23.58 What is the the cost per roll of paper towels
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$23.58 divided by 12 = $1.965
Each roll is about $1.97 (if you round up)
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3 years ago
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Joe is a car salesman. He earns 300 for every car he sells plus a 3 percent commission. IfJjoe sells 3 cars in one week for a to
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Given Situation:Joe is a car salesman. He earns 300 for every car he sells plus a 3 percent commission. Joe sells 3 cars in one week for a total of 35,243.Questin: what are his total earnings for the week.First let's solve for the number of cars.=> 1 car = 300 dollars=> 3 cars = 3 * 300 = 900 dollarsNow, let's solve for the percentage of his commision:=> 35 243 dollars = total amount he received for the 3 cars he sold.=> 35 243 dollars  * 0.03 = 1 057.29 dollars is the commision.Now, let's add=> 900 + 1 057.29 = 1 957.29 dollars<span>
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3 years ago
5x3 + 14x2 + 9x <br> help
Cerrena [4.2K]
<h3>Answer:    x(x+1)(5x+9) </h3>

===================================================

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

6 0
3 years ago
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