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Bumek [7]
3 years ago
6

Factor 8X squared + 10x + 2​

Mathematics
1 answer:
mojhsa [17]3 years ago
3 0

Answer:

2(4x + 1)(x + 1)

Step-by-step explanation:

Given

8x² + 10x + 2 ← factor out 2 from each term

= 2(4x² + 5x + 1)

To factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × 1 = 4 and sum = + 5

The factors are + 1 and + 4

Use these factors to split the x - term

4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )

= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)

= (4x + 1)(x + 1), thus

4x² + 5x + 1 = (4x + 1)(x + 1) and

8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form

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Answer:

$95

Step-by-step explanation:

We are told that Carmen makes a monthly payment of no more than 200 dollars. We then see her going above the 200 dollars so we look to the tens and ones place. We see that we now have 25, 45, and 35 dollars. Add them up and you get 105 dollars. 200-105=95 so your awnser is $95.

7 0
3 years ago
The cost in dollars of producing x vehicles for a company is given by C(x)=1200x+5500
GarryVolchara [31]

The rate of change represents the <em>variable production</em> cost rate. The <em>production</em> cost is increased in 1200 units per each <em>additional</em> manufactured car.

<h3>Interpretation of a linear function</h3>

Let be C and x the production cost and the number of vehicles produced, it there is a <em>linear</em> relationship between the two variables, then we have the following formula:

C(x) = \dot r \cdot x + C_{o} (1)

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  • \dot r - Variable production cost rate.

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To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/8223651

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2 years ago
Consider the quadratic equation ax^2+bx+5=0, where a, b, and c are rational and the quadratic has two didstinct zeros if one zor
erica [24]

Answer:

It can either be rational or irrational

Step-by-step explanation:

Given the quadratic equation ax²+bx+5 = 0, to get the zeros of the function, we will factorize the function to have;

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x(ax+b) = -5

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From the second function we have;

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This shows that the other value of x can be rational or irrational depending on the values of a and b

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3 years ago
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9600 kilobytes...
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3 years ago
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that means there are four times the number of soccer players than volleyball players
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