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Vikki [24]
3 years ago
7

The graph shows a city’s expected population for a number of years after a census. Which is the best prediction of the city’s po

pulation 25 years after the census?
•220,000
•245,000
•260,000
•285,000

Mathematics
2 answers:
Musya8 [376]3 years ago
7 0

Answer:

245,000 is the answer please give brainliest

Step-by-step explanation:

Art [367]3 years ago
3 0

Answer:

The best prediction of the city’s population 25 years after the census is 245,000.

Step-by-step explanation:

Given : The graph shows a city’s expected population for a number of years after a census.

To find : Which is the best prediction of the city’s population 25 years after the census?

Solution :

Observing the graph,

At number of years x-axis at 25 draw a straight line.

The intersecting of line and graph curve lies between 200,000 and 300,00.

Going on details it is nearest to half of the 200,000 and 300,00 i.e. 250,000.

It is slightly just below 250,000.

From the options we consider that it is 245,000.

Therefore, the best prediction of the city’s population 25 years after the census is 245,000.

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Answer:

The solutions to the system of the equations by the elimination method will be:

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Step-by-step explanation:

Given the system of the equations

2x\:+\:2y\:+z\:=\:7

-x-\:y\:+z\:=\:-5

x+3y-4z=12

solving the system of the equations by the elimination method

\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}

\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10

\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}

-2x-2y+2z=-10

+

\underline{2x+2y+z=7}

3z=-3

\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}

2x+6y-8z=24

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\underline{2x+2y+z=7}

4y-9z=17

\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}

Rearranging the equations

\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}

solve 3z=-3 for z:

z=-1

\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1

solve  4y-9\left(-1\right)=17 for y:

4y-9\left(-1\right)=17

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4y=8

y=2

\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2

solve 2x+2\cdot \:2-1=7 for x:

2x+2\cdot \:2-1=7

2x+3=7

2x=4

x=2

Therefore, the solutions to the system of the equations by the elimination method will be:

x=2,\:z=-1,\:y=2

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padilas [110]

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Step-by-step explanation:

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