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iren [92.7K]
2 years ago
6

Solve the equation by factoring: 3x^2 + 22x - 16 = 0

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
7 0
The equation given in the question is
3x^2 + 22x - 16 = 0
3x^2 + 24x - 2x - 16 = 0
3x(x + 8) - 2(x + 8) = 0
(3x - 2)(x + 8) = 0
Then either
3x - 2 = 0
3x = 2
x = 2/3
Or
x + 8 = 0
x = - 8
So from the above deduction, we can conclude that the value of "x" cam be either 2/3 or - 8.

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tatyana61 [14]

a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.

b) Using the function, the estimate for the population in 2020 is of 26,400.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:

m = -2400/12 = -200.

Hence the equation is:

P(t) = -200t + 29600.

2020 is 16 years after 2004, hence the estimate is:

P(16) = -200(16) + 29600 = 26,400.

More can be learned about linear functions at brainly.com/question/24808124

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1 year ago
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sineoko [7]

Answer:

87

Step-by-step explanation:

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Solve for y please help
ss7ja [257]

Answer:

The answer is (-16.6)

Step-by-step explanation:

y/2 ≥ -8.3

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Answer:

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