Answer with Step-by-step explanation:
Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'
Thus the product of the 2 numbers is given by

We know that the sum of 'n' consecutive natural numbers starting from 1 is

Thus from equation 'i' we can write

As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.
Answer:
Jade is faster than Ella by 2 minutes and 55 seconds.
Step-by-step explanation:
We are told that Ella and Jade both ran a marathon. Ella finished marathon in 4 hours 6 mins and 13 seconds. Jade finished marathon in 4 hours and 3 mins and 18 seconds.
We can write 4 hour 6 minutes 13 seconds as 4 hour 5 minutes 73 seconds. 1 minute has been borrowed to the seconds side, and seconds become 13+60 = 73 seconds.
We can see that Ella took more time than Jade. Let us find how much more time Ella took than Jade by subtracting time taken by Jade from time taken by Ella.
We can see that Jade took 2 minute and 55 seconds less than Ella , therefore, Jade was faster than Ella by 2 minutes 55 seconds.
No. In order to be proportional, y must change directly with x.
Looking at the first two pieces of data, let's find the ratio between x and y.
2/5 and 3/6. These should be equivalent of the table is proportional.
Answer:
X=-2
Step-by-step explanation:
The axis of symmetry for any parabola is the x value of the vertex. Dividing the parabola along the vertex will always yield two symmetric halves.