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gayaneshka [121]
2 years ago
8

PLEASE HELP ASAP!! WORDED QUADRATIC QUESTIONS!!!

Mathematics
1 answer:
Roman55 [17]2 years ago
4 0

Answer:

x² - 5x = 14

x = -2   or   x = 7

Step-by-step explanation:

x² - 5x = 14

x² - 5x - 14 = 0

(x+2)(x-7) = 0

x = -2   or   x = 7

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Read 2 more answers
A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

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

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


5 0
3 years ago
There are 60 students in Kinsley's grade. 3 of the students are enrolled in health. What
GREYUIT [131]
5% of the kids are in health. I got this from simplifying 3/60 which is 1/20

After that, i set up this equation: 1/20 times x/100

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4 0
1 year ago
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