5.0 Points What is the solution of the system? Use elimination. 3x – 4y = 9 –3x + 2y = 9

1 answer:

4 0

Hope i understand it right how you wrote above this system

3x -4y = 9
-3x +2y = 9
------------------- assum the same terms
0 -2y = 18

y = 18/(-2) = -9

y = -9

3x -4(-9) = 9
3x +36 = 9
3x = 9 -36
3x = -27

x = -27/3 = -9

x = -9
y = -9

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The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.

Oksana_A [137]

Answer:

Step-by-step explanation:

The given table is

Days Bees

0 10,000

10 7,500

20 5,600

30 4,200

40 3,200

50 2,400

Where $x$ represents days and $y$ represents bees.

The exponential function that models this problem must be like

$y=a(1-r)^{x}$ , which represenst an exponential decary, because in this case, the number of bees decays.

We nned to use one points, to find the rate of decay. We know that $a=10,000$ , because it starts with 10,000 bees.

Let's use the points (10, 7500)

$y=a(1-r)^{x}\\7500=10000(1-r)^{10}$

Solving for $r$ , we have

$\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75$

Using logarithms, we have

$ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97$