Find the GCF of the terms of the polynomial. 48x ^ 6 + 6x ^ 2 - 26x ^ 3

Mathematics

1 answer:

galben [10]2 years ago

7 0

Answer:

$2x^{2}$

Step-by-step explanation:

Find the GCF of the numbers 48, 6 and 26.

The largest number each can be divided by is 2, which is the GCF.

Find the GCF of $x^{2}, x^{3}, x^{6}$

The GCF is always the smallest exponent, so $x^{2}$ is the GCF

Combine the two GCF for the answer

$2x^{2}$

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A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the

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Answer:

The equation is $A=6000e^{-0.23t}$ at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it decays by using t=3 hours and A=3000. This means $A_0=6000$ in this context.

$A=A_0e^{rt}\\3000=6000e^{r(3)}$

$0.5=e^{(24.5)r}$

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r$