I think they’re perpendicular lines
Answer:
A. 800 bacteria
B. 1.41 * 10^16 bacteria
Step-by-step explanation:
The model we have is
p(x) = 50 • 2^x
Doubling time is 30 minutes each
a. For 2 hours, we shall need to calculate the number of 30-minutes in 2 hours. That is 4
Thus the population after 2 hours would be
P(x) = 50 * 2^(4) = 50 * 16 = 800 bacteria
B. After one day
The number of hours in a day is 24;
since 60 minutes makes one day, the number of 30 minutes in a day would be 60/30 * 24 = 48
There are 48 30-minutes in a day
Thus the population of the bacteria after one day will be
P(x) = 50 * 2^48 = 1.41 * 10^16 bacteria
For the first one, f(x) clearly has positive y values, while g(x) doesn't (from what I see). In addition, cos(x) has a range of [-1, 1] so 2cosx would have a range of [-2, 2] and 2cosx+1 would therefore have a range of [-3, 3]. In addition, the maximum of the graph shown is 3, so the answer would be f(x) and h(x)
For the second one, sin(x) (including any x value)has a range of [-1, 1] so 2sinx would have a range from [-2, 2] and the range for 2sinx-2 would be
[-4, -2] with the minimum being -4. For g(x), squaring something makes it positive, meaning that the minimum of (x-3)^2 would be 0. 0-1 would be -1. For h(x), the lowest is clearly -6, and -6 is lower than both -1 and -4, mking h(x) the smallest
It's slope y-intercept as in the formula y=mx + b
Answer:
x = 0.3
Step-by-step explanation:
x=\sqrt{0.09},\:x=-\sqrt{0.09}\quad