Answer:
(1, -5) or x=1, y=-5
Step-by-step explanation:
Hope this helps!
Answer:
-4 is the larger integer
Step-by-step explanation:
n = smaller integer
n + 2 = larger integer
4(n+2) = n-10
4n + 8 = n - 10
3n + 8 = -10
3n = -18
n = -6
n+2 = -4
Answer:
The answer is below
Step-by-step explanation:
The growth of the bacteria is in the form of an exponential growth. It is given by the formula:
![P(t)=ae^{rt}\\\\where\ t\ is\ the\ number\ of \ hours, P(t)\ is\ the \ population\ at\ t\ hours\\\and\ a=population\ at\ start](https://tex.z-dn.net/?f=P%28t%29%3Dae%5E%7Brt%7D%5C%5C%5C%5Cwhere%5C%20t%5C%20is%5C%20%20the%5C%20number%5C%20of%20%5C%20hours%2C%20P%28t%29%5C%20is%5C%20the%20%5C%20population%5C%20at%5C%20t%5C%20hours%5C%5C%5Cand%5C%20a%3Dpopulation%5C%20at%5C%20start)
At 2 hours, the population is 62 cells, hence:
![P(2)=ae^{2r}\\\\62=ae^{2r}\ \ .\ \ .\ \ .\ (1)](https://tex.z-dn.net/?f=P%282%29%3Dae%5E%7B2r%7D%5C%5C%5C%5C62%3Dae%5E%7B2r%7D%5C%20%5C%20.%5C%20%5C%20.%5C%20%5C%20.%5C%20%281%29)
After another 2 hours (4 hours), the population is 1 million:
![P(4)=ae^{4r}\\\\1000000=ae^{4r}\ \ .\ \ .\ \ .\ (2)\\\\Divide \ equation\ 2\ by\ equation\ 1:\\\\\frac{1000000}{62}=\frac{ae^{4r}}{ae^{2r}} \\\\16129=e^{2r}\\\\ln(e^{2r})=ln(16129)\\\\2r=9.688\\\\r=4.844](https://tex.z-dn.net/?f=P%284%29%3Dae%5E%7B4r%7D%5C%5C%5C%5C1000000%3Dae%5E%7B4r%7D%5C%20%5C%20.%5C%20%5C%20.%5C%20%5C%20.%5C%20%282%29%5C%5C%5C%5CDivide%20%5C%20equation%5C%202%5C%20by%5C%20equation%5C%201%3A%5C%5C%5C%5C%5Cfrac%7B1000000%7D%7B62%7D%3D%5Cfrac%7Bae%5E%7B4r%7D%7D%7Bae%5E%7B2r%7D%7D%20%5C%5C%5C%5C16129%3De%5E%7B2r%7D%5C%5C%5C%5Cln%28e%5E%7B2r%7D%29%3Dln%2816129%29%5C%5C%5C%5C2r%3D9.688%5C%5C%5C%5Cr%3D4.844)
Put r = 4.844 in equation 1
![62=ae^{2*4.844}\\\\62=16129a\\\\a=0.003844](https://tex.z-dn.net/?f=62%3Dae%5E%7B2%2A4.844%7D%5C%5C%5C%5C62%3D16129a%5C%5C%5C%5Ca%3D0.003844)
![P(t)=0.003844e^{4.844t}\\\\at \ start,t=0\\\\P(0)=0.003844](https://tex.z-dn.net/?f=P%28t%29%3D0.003844e%5E%7B4.844t%7D%5C%5C%5C%5Cat%20%5C%20start%2Ct%3D0%5C%5C%5C%5CP%280%29%3D0.003844)
Answer:
x= 616326743 / 31419696919
Step-by-step explanation:
62839393838x = 1232653486
Let's solve your equation step-by-step.
62839393838x=1232653486
Step 1: Divide both sides by 62839393838.
62839393838x / 62839393838 = 1232653486 / 62839393838
x= 616326743 / 31419696919