Answer:
Option D.
Step-by-step explanation:
We have the inequality:
3 + (5/2)*x ≥ 2*x - 13/2
First, let's try to isolate x in one side of the inequality:
3 + (5/2)*x ≥ 2*x - 13/2
(5/2)*x ≥ 2*x - 13/2 - 3
(5/2)*x - 2*x ≥ - 13/2 - 3
Now all the terms with an x are in the left, and the terms without are in the right.
We can rewrite this inequality as:
(5/2)*x - (4/2)*x ≥ - 13/2 - 6/2
(1/2)*x ≥ -19/2
Now, multiplying both sides by 2 we get:
2*(1/2)*x ≥ (-19/2)*2
x ≥ - 19
So the graph will be a solid point in x = -19, and a ray that extends to the right (the values that are larger than -19)
The correct option is the last graph, option D.
Answer:
9
Step-by-step explanation:
9=t
Step-by-step explanation:
output is 3 times of input so it's like this x ➡ 3x
Answer:
The initial number of bacteria in the culture was 1949
Step-by-step explanation:
The relative growth rate for a certain type of bacteria population is 78% per hour.
As we know the growth of bacteria is exponential function.

where,
P is population of bacteria after n hours.
P₀ is initial population.
r is rate of growth per hour
n is number of hours
A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture.
P = 34820 , n = 5 , r = 0.78



Hence, The initial number of bacteria in the culture was 1949