Hello!
The graph y < -2/3x + 2 has a dotted line. That means that any points on the dotted line or not shaded, is not a solution to this inequality. Since we are given 4 choices, we can substitute those values into the given inequality to see if it is true.
A) (0, 2)
2 < -2/3(0) + 2
2 < 2, this is false.
B) (3, 0)
0 < -2/3(3) + 2
0 < -2 + 2
0 < 0, this is false.
C) (0, 0)
0 < -2/3(0) + 2
0 < 2, this is true.
D). (0, 3)
3 < -2/3(0) + 2
3 < 2, this is false.
To check if choice C) (0, 0) is true, we should look at the given graph.
Since (0, 0) is in the shaded area, and is not graphed on the dotted line, therefore, a solution to this linear inequality is C, (0, 0).
Answer:
(5x + 40), (7x + 8), (10x)
Step-by-step explanation:
Ok, I'm not completely sure, I'm taking a bullet here. But lemme know what you get
H=(√3)*a/2 = 41.2
So, a=2*41.2/√3=47.6
Answer:
bacteria
Step-by-step explanation:
The generic form of an exponential function is: 
, where a is the initial amount, r is the rate, and n is the time.
In this case, the initial amount is 1000, so a = 1000. Also, the rate is 2 because the culture doubles in size every 5 minutes. However, our n is not just n; it's actually n/5 because the rate is doubling per 5 minutes, not per 1 minute. If it was per 1 minute, then the time would simply be n. Unfortunately, that's not the case here, so the exponent of r should be n/5, where n is the number of minutes that have passed.
Now, we have: 
Since n is the number of minutes, we need to convert 2 hours to minutes:
2 hours * 60 min/hour = 120 minutes.
Thus, the answer is bacteria.
Hope this helps!
A=P(1+r%)ⁿ , where P is the initial capital, r, the interest rate and n, the # years
A = 2000(1+0.13)³
A = 2000(1.13)³
A = 2,885.79
