Imagine that this curve is a roller coaster. A dot on the roller coaster would be a car for a person to sit in, so to speak. As this car moves to the right, the car ultimately moves downward. So this means that as x gets larger, y gets smaller. Put another way: as x approaches infinity, f(x) approaches negative infinity.
Similarly, we can move the other way to work our way to the left. Moving to the left has us go up this time. As x approaches negative infinity, f(x) approaches positive infinity
These two facts point to choice B as the final answer
25% of the bag is yellow because 100% - 75% = 25%.
Y=2 7x2= 14
X= 7 4x7=28
28-14=14
Answer: y=3
Step-by-step explanation:
first, you need to find the slope using the slope formula (y2-y1/x2-x1)
-4--4/6--7 = 0/13 which equals 0
now you fill it into the point-slope form (y=m(x-x1)+y1)
y=0(x--7)-4
you distribute and get
y=3
Answer:
9,942 bacteria were there at 10 hours.
Step-by-step explanation:
Equation for population decay:
The equation for population decay, after t hours, is given by:

In which P(0) is the initial population and r is the decay rate, as a decimal.
Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.
This means that
and that when
. So we use this to find r.



![\sqrt[18]{(1-r)^{18}} = \sqrt[18]{\frac{900}{200000}}](https://tex.z-dn.net/?f=%5Csqrt%5B18%5D%7B%281-r%29%5E%7B18%7D%7D%20%3D%20%5Csqrt%5B18%5D%7B%5Cfrac%7B900%7D%7B200000%7D%7D)


So


At this rate of decay, how many bacteria was there at 10 hours?
This is P(10). So

Rounding to the nearest whole number:
9,942 bacteria were there at 10 hours.