What’s the slope of a parallel line given the equation 3x+4y=3? Please explain the process.

Mathematics

1 answer:

Otrada [13]3 years ago

7 0

Answer:

-3/4

Step-by-step explanation:

Move the 3x over to the side with the 3 so it will become a -3x now you have 4y=-3x+3 now you have to remove the 4 from the y so now you have y=-3/4x+3/4 so you slope will be -3/4

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The best prediction for the number of years it will take for the population to reach 200,000 is 9.41

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$y_1 =A _0 e ^{kt _1}\\y_2 = A_0 e^{k t_2}\\(t_1,y_1)=(1,11920)\\(t_2,y_2)=(2,16800)$

Substitute the values

$11920=A _0 e ^{k} ---1\\16800 = A_0 e^{2k} ---2$

Divide 1 and 2

$\frac{11920}{16800}=\frac{e^k}{e^{2k}}\\\frac{11920}{16800}=e^{k-2k}\\ln(\frac{11920}{16800})=-k\\k=-1 ln(\frac{11920}{16800})\\k=0.3432\\A_0=y_1 e^{-k t_1}\\A_0=11920 e^{-0.3432}\\A_0=8457.5238$