Answer: D. f(x) is k units below g(x)
Step-by-step explanation:
We're comparing for example g(x)=2^x and f(x)=2^x -1. They're identical except the latter is one unit below the former.
Unfortunately, I can't do it on a graph here, but I will do it algebraically.
The solution on the graph will be the point of intersection of the two lines representing the equations.
y + 2.3 = 0.45x . . . . . (1)
-2y = 4.2x - 7.8 . . . . . (2)
From (2), y = 3.9 - 2.1x
substituting for y in (1), we have:
3.9 - 2.1x + 2.3 = 0.45x
2.55x = 6.2
x = 6.2/2.55 = 2.4
y = 3.9 - 2.1(2.4) = 3.9 - 5.04 = -1.2
Therefore, solution is (2.4, -1.2)
Answer:
9:00 P.M.
Step-by-step explanation:
All 3 bells ring at 9AM
1st bell: every 2 hours:
9AM, 11AM, 1PM, 3PM, 5PM, 7PM, 9PM
2nd bell: very 3 hours:
9AM, 12AM, 3PM, 6PM, 9PM
3rd bell: every 4 hours:
9AM, 1PM, 5PM, 9PM
So All 3 bells will ring at 9PM again
Notice that the box has a total os 4 + 5 + 3 = 12 balls, since there are 4 that are yellow, then, the probability to randomly obtaining a yellow ball in a single draw is:
therefore, the probability is 0.33 = 33%
