Answer you are looking for is 13
Solve each of the equations independently, then determine if the are continuous or discontinuous.
15≥-3x [start here]
-5≤x [divide both sides by (-3). *Dividing by a negative number means the direction of the sign changes!]
x≥-5 [just turned around for analysis]
Next equation:
2/3x≥-2 [start here]
x≥-2(3/2) [multiply both sides of the equation by the reciprocal, 3/2)
x≥-3
So, (according to the first equation) all values of x must be greater than, or equal to -5.
(According to the second equation) all values of x must be greater than, or equal to -3.
So, when graphed on a number line, both equations graph in the same direction, so they are continuous.
If M is the midpoint of segment RS, then
M = (R + S)/2
2M = R + S . . . . . multiply by 2
S = 2M - R = 2(8, -2) -(10, 5) = (6, -9) . . . . put in the given values
The original price is 30$ because we know that the new price is worth 60% of the old price. We can set up an equation to model this: 0.60x = 18. Dividing both side by 0.60 gives us an original value of 30. If you take 40% off of 30 you get 18 — allowing us to check our work.
First, we must find the z-scores for each limit
for 54
z = (54 - 58) / 4 = -1
For this z-score, the area under the curve is 0.1587
for 62
z = (62 - 58) / 4 = 1
The area under the curve is 0.8413
Subtracting the two z-scores:
0.8413 - 0.1587 = 0.6825
Multiplying by 150
150 (0.6825) = 102.39
So, the closest answer is
102
