I think it's a or d. Forgive me if I am wrong :(
Answer:
x ≤ 10, x > 4
Step-by-step explanation:
If x is less than or equal to 10, the line starts on 10 and includes all the numbers to the left . . <u>. .-2-1 0 1 2 3 </u><u>4 5 6 7 8 9 10</u>,11,12,. . .
If x is greater than 4 it's . -1,0,1 2 3 <u>4,5 6 7 8 9 10</u><u> 11 12 13 . . </u>.
So there is an overlap of the numbers between 4 and 10 (not including 4, just a little more. . )
The number that you are looking for is 540
Answer: A and D
Step-by-step explanation:
Dependent events mean that one event depends on the outcome of the previous event.
A) If the first roll is a 3, and we want to sum more than 7 with the second roll, then the possible outcomes 5 and 6. Now if the first roll is 4, then the possible outcomes for the second event will be 4, 5 and 6. So you can see how the outcome space of the second event changes depending on the first event, so the events are dependent.
B) Here we do not have dependence, each event only depends on it's own outcome.
C) Again, both events only depend on it's own outcome, so the events are not dependent.
D) This is similar as the case for A, these events are dependent because is not the same if the outcome of the first event is 3, than if the outcome is 5 (the outcome needed for the second roll changes depending on the outcome of the first event)
E) Same as B and C, the events are independent.
This one is simple since we already have the two x variables.equal. All we have to do is subtract the equations from one another to get the answer.
So i will subtract the left side by the other left side and the right side by the other right side
-8x - 8y -(-8x + 2y) = 0 -(-20)
distribute negative sign
-8x - 8y + 8x - 2y = 0 + 20
do the math
- 10y = 20
Y = -2
plug t into an equation
-8x -8 (-2) = 0
-8x + 16 = 0
-8x = -16
x = 2
answer (2, -2)
