C. is the answer your looking for
For function one, the slope is already in mx+b form. The coefficient to x is the slope, so it is four in this case. For the second function we calculate the slope using rise over run. The rise is change in y and run is change in x, so 4/2= 2 slope. Four is greater than two so it has the greater rate of change. The answer is B
Answer:
(C)Yes, because P(M) ∙ P(N) = P(M ∩ N)
Step-by-step explanation:
Two events A and B are independent if P(A)P(B)=P(A ∩ B)
Given events A and B such that:
P(A) = 0.3, P(B) = 0.25, P(A ∪ B) = 0.425, and P(A ∩ B) = 0.075
- P(A)P(B)=0.3 X 0.25 =0.075
- P(A ∩ B) = 0.075
Since the two expression above gives the same answer, they are independent.
<u>The correct option is C.</u>
ANSWER
EXPLANATION
Given the parent function:
If we shift the graph of f(x), 5 units to the left, then the new rule is
If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,
Or
Assume a is not divisible by 10. (otherwise the problem is trivial).
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
