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klasskru [66]
2 years ago
9

Graph the equation 4x+8y=16

Mathematics
2 answers:
Maslowich2 years ago
7 0
4x+8y=16
Move the 4x to the other side to put it into slope intercept form.
8y=-4x+16
Then divide by 8.
Y=-1/2x+2
The slope is -1/2 and the Y intercept is 2.

Marianna [84]2 years ago
5 0

Answer:

4x+8y=16

8y=4x+16

4/8. 16/8

y=1/2x+2

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When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} -  \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674

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