The answer is x=64 hope this helped
Answer:
Step-by-step explanation:
prime factorization
40y³ = 2³×5y³
625 = 5⁴
Greatest common factor = 5
40y³ - 625 = 5(8y³ - 125)
Note that 8y³ - 125 is the difference of cubes.
8y³ - 125 = (2y)³ - 5³ = (2y-5)((2y)² + 2y·5 + 5²) = (2y-5)(4y² + 10y + 25)
40y³ - 625 = 5(2y-5)(4y² + 10y + 25)
just round it into the nearest hundreds
1234 into 1200
The true statement is that colony 2 will always have more bacteria than colony 1 after 4 months
<h3>How to determine the number of months?</h3>
The functions are given as:
- Colony 1: f(x) = x^2
- Colony 2: g(x) = 2^x
When colony 2 has more bacteria than colony 1, then it means that:
g(x) >f(x)
Substitute the function values
2^x > x^2
From the graph of both functions, we have:
2^x > x^2 at x >4
This means that colony 2 will always have more bacteria than colony 1 after 4 months
Read more about functions at:
brainly.com/question/11464095
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