9514 1404 393
Answer:
B. -1
Step-by-step explanation:
The relevant points on the graph are (1, 3) and (4, 0). The average rate of change can be found using the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -3)/(4 -1) = -3/3 = -1
The average rate of change from x = 1 to x = 4 is -1.
Answer:
a) y </= 8 is not sufficient
b) y >/= 4 is sufficient (y is not less than 3.5)
Step-by-step explanation:
Number of Red marbles = 8
Number of white marbles = y
Total number of marbles in the jar = 8+ y
Let Pr(R) be the probability of picking red marbles
Let Pr(W) be the probability picking white marbles
Pr(R) = 8/ (8+y)
Pr(W) = 7/(7+y)
Pr(RR) = Pr(R1) * Pr( R2)
= 8/(8+y) * 7/(7+y)
Pr(RW) = Pr(R1) * Pr(W2) + Pr(W1) * Pr(R2)
= 2[Pr(R1) * Pr(W2)
= 2[8/(8+y) * y/(7+y)]
The probability of having 2 red is greater than one marble of each color.
Pr(RR) > Pr( RW)
8/(8+y) * 7/(7+y) > 2[8/(8+y) * y/(7+y)]
7/(7+y) > 2(y/(7+y)
7/y > 2
7/2 > y
3.5 > y
y < 3.5
Therefore;
a) y </= 8 is not sufficient
b) y >/= 4 is sufficient (y is not less than 3.5)
Answer:
-3
Step-by-step explanation:
5x³ + 2 , when x = -1
5(-1)³ + 2
= -5 + 2
= -3
Question 1:
We are going to add.
1/5 + 1/2
2/10 + 5/10
7/10
Note that we are going DOWN so the number will be negative.
Therefore, the answer is A.) -7/10
Question 2:
We are going to subtract.
4 1/2 - 1 2/3
9/2 - 5/3
27/6 - 10/6
17/6 or 2 5/6
Note that we are still BELOW sea level so the number will be negative.
Therefore, the answer is C.) -2 5/6
Question 3:
We are going to subtract.
2 2/3 - 1 1/5
8/3 - 6/5
40/15 - 18/15
22/15 or 1 7/15
Therefore, the answer is B.) 1 7/15
Best of Luck!
the correct answer for plato users is
2!!
