So let's start by guesstimating the slopes:
the green line has a slope close to -x, but more negative than that, possibly -2; the pink line has a slope close to +x, but higher towards +2.
Next let's look at the solution: the two lines intersect at the point (1, -1).
**you could just simple plug that x (1) into all the equations, but let's rule out answers anyway. ;)
A) is incorrect because the slopes of -1 and +1 are off from out predicted -2 and +2
B) is incorrect because of a similar reason, the slopes of +3 and +1 don't make any sense
C) Ooh, we do have a +2 and -2 for the slopes, and... violà! plug in 1 for the x's and we get -1 for the y in both equations
D) slopes are closer than in A and B, but plugging in 1 doesn't get us -1
So the correct answer is:
C) y = 2x - 3 and y = −2x + 1
Answer:
4 elements of the sample space will have a purple ball
There are 10 elements altogether
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
Number of purple balls = 12, number of green balls = 13, total number of balls = 12+13 = 25
Probability (a ball drawn is purple) = 12/25
If a purple ball is drawn, two coins are tossed
1 coin has 2 elements
2 coins have 2×2 = 4 elements
Probability (a ball drawn is not purple) = 1 - 12/25 = (25-12)/25 = 13/25
If a ball drawn is not purple, three coins are tossed
1 coin has 2 elements
3 coins have 3×2 = 6 elements
Total elements = 4 + 6= 10 elements
