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Answer:
8000
Step-by-step explanation:
The function is given as:
Where I=Initial Population
n=Number of Generations
If 
, we want to determine the population of bacteria when n=3.
=8000
There will be 8000 bacteria after 3 generations.
1 Expand.
8x-6-8=4+2x8x−6−8=4+2x
2 Simplify 8x-6-88x−6−8 to 8x-148x−14.
8x-14=4+2x8x−14=4+2x
3 Add 1414 to both sides.
8x=4+2x+148x=4+2x+14
4 Simplify 4+2x+144+2x+14 to 2x+182x+18.
8x=2x+188x=2x+18
5 Subtract 2x2x from both sides.
8x-2x=188x−2x=18
6 Simplify 8x-2x8x−2x to 6x6x.
6x=186x=18
7 Divide both sides by 66.
x=\frac{18}{6}x=
6
18
8 Simplify \frac{18}{6}
6
18
to 33.
x=3x=3
Done Hope this helps let me know if u have any questions thank you
Answers: Using the process of completing the square:
1. Isolate the constant by <u>adding 7 to</u> both sides of the equation:
x^2-6x-7+7=0+7
x^2-6x=7
2. Add <u>9</u> to both sides of x2 – 6x = 7 to form a perfect square trinomial while keeping the equation balanced:
x^2-6x+9=7+9
x^2-6x+9=16
3. Write the trinomial x2 – 6x + 9 as squared:
<u>(x-3)^2</u> = 16
4. Use the square root property of equality to get x – 3 = ±<u>4</u> .
sqrt[ (x-3)^2 ] = ± sqrt(16)
x-3 = ±4
5. Isolate the variable to get solutions of –1 and 7.
x-3 = ±4
x-3+3 = ±4+3
x = ±4+3
x1=-4+3→x1=-1
x2=+4+3→x2=7
