Answer:
Yes
Step-by-step explanation:
3:1 x 3 = 9:3
3:1 x 5 = 15:5
Answer:
14.3%
Step-by-step explanation:
There is only one four out of 7 total numbers.
1/7 = 0.142857 = 14.29%
Answer with Step-by-step explanation:
Let 
Substitute n=2
Then 

Hence, P(n) is true for n=2
Suppose that P(n) is true for n=k >1

Now, we shall prove that p(n) is true for n=k+1

LHS

Substitute the value of P(k)






LHS=RHS
Hence, P(n) is true for all n >1.
Hence, proved
Answer:
Step-by-step explanation:
Hello, the vertex is (1,2), right?
You remember that when the parabola equation is in standard form like below

The vertex is for , and we apply with this example where a = 1, b = -2, c=3

So this is the first graph.
Thank you
Answer:
17/25
Step-by-step explanation:
In this case we are asked for the probability that a random point is chosen in the lower grid in the shaded area, we must count the total number and amount of shaded squares.
In total there are 25 squares and 17 shaded ones.
This means that the answer is 17/25, the answer is not within the options, but if it is 8/25, which would be the probability of choosing a random point in a non-shaded or white area