We have been given a formula that represented the number of incarcerated adults N (measured in thousands) in a certain country can be approximated by the equation $N=2.7x^2+72.4x+1911$ where x is the number of years since 2000.

To find the number of incarcerated adults in 2013, we will substitute $x=13$ $(2013-2000=13)$ in the given equation.

$N=2.7(13)^2+72.4(13)+1911$

$N=2.7*169+941.2+1911$

$N=456.3+941.2+1911$

$N=3308.5$

Since the number of incarcerated adults N is measured in thousands, so the value of N would be:

$3308.5\text{ thousands}=3308.5\times 1,000$

$3308.5\text{ thousands}=3,308,500$

Therefore, 3,308,500 adults were incarcerated in 2013.

8 0

3 years ago

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Is this a polygon or trapezoid?

atroni [7]

Answer:

Step-by-step explanation:

this is my opinion so No

8 0

2 years ago

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What is the solution to the following system of equations?

Paraphin [41]

Answer:

Option 2 ( 1,-10)

Step-by-step explanation:

The two equations are y = -x²-5x-4 -----(1)

and y = -x²+9x-18-------(2)

To get the solution of these lines we will substitute the value of y form equation 1 to 2.

- x² - 5x -4 = -x²+9x-18

Now by collecting similar terms on each side.

-x² -5x + x²-9x = -18 + 4

-14x = -14

14x = 14

x = 1

By putting the value of x in equation 1.

y = -1 - 5 - 4 = -10

So the solution is (1, -10)

Therefore Option 2 is the correct answer.

8 0

3 years ago

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