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tigry1 [53]
2 years ago
15

Find all possible values of b such that 4x² + bx + 3 can be factored. Check all that apply.

Mathematics
1 answer:
aleksklad [387]2 years ago
3 0

The possible values of b are 7 and 8

<h3>How to determine the possible values of x?</h3>

The expression is given as:

4x² + bx + 3

Next, we test the options to determine the values of b

<u>Option 1: b = 13</u>

So, we have:

4x² + 13x + 3 ---- this cannot be factorized

<u>Option 2: b = 7</u>

So, we have:

4x² + 7x + 3  

Expand

4x² + 4x + 3x + 3

Factorize

4x(x +1) + 3(x + 1)

Factor out x + 1

(4x + 3)(x + 1) ------ this can be factorized

<u>Option 3: b = 8</u>

So, we have:

4x² + 8x + 3

Expand

4x² + 6x + 2x + 3

Factorize

2x(2x +3) + 1(2x + 3)

Factor out 2x + 3

(2x + 3)(2x + 1) ------ this can be factorized

<u>Option 4: b = 1</u>

So, we have:

4x² + x + 3 ---- this cannot be factorized

Hence, the possible values of b are 7 and 8

Read more about factorized expressions at:

brainly.com/question/723406

#SPJ1

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140 points = 100%

140 / 10 = 14 = 10%

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A city has a populationof 370,000 people. Suppose that each year the population grows 7%. What will the population be after 8 ye
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Step-by-step explanation:

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Online jewelry sales have increased steadily over the last 10 years. In 2003, sales were approximately 2 billion dollars, and in
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Answer:

rate\ of\ increase = 28.8\ billion\ dollars\ per\ year

model: y = 28.8(t-2003) + 2

profit in year 2017: y =  405.2\ billion\ dollars

Step-by-step explanation:

The sales increased from 2 billion dollars to 146 billion dollars in five years, so to find the increase in billion dollars per year, we just need to divide the increase by the amount of time:

rate\ of\ increase = (146 - 2)/5 = 144 / 5 = 28.8\ billion\ dollars\ per\ year

To construct a model for these sales, we can use the year 2003 as the initial point of a linear equation:

y = ax + b

the variable y will represent the profit in billion dollars, the variable x will represent our time, so we can use (t - 2003) in its place to represent the number of years since 2003 (t is the year we want to calculate), the constant 'a' will be our rate of 28.8, and the constant 'b' is the inicial value for the year 2003, that is, 2 (billions). So we have:

y = 28.8(t-2003) + 2

In the year 2017, we would have:

y = 28.8(2017-2003) + 2

y = 28.8*14 + 2

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