Answer:
d. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
Step-by-step explanation:
This would be a function as long as one x-value doesn't correspond to two y-values. If two x-values correspond to one y-value though, it still represents a function.
Answer:
There is a loss of 2 yards.
Step-by-step explanation:
To find the overall gain or loss, we add or subtract there values.
Initially, we have 0 yards.
Records 14, so 0 + 14 = 14, that is, for now a gain of 14
Then loses 7, so 14 - 7 = 7, for now a gain of 7.
Then, 7 - 9 = - 2, so in all, there is a loss of 2 yards.
Answer:
The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2
The rule of arithmetic sequence = a + d(n - 1)
Where a is the first term and n is the number of terms
So, for the even numbers between 0 and X
The first term = a = 0
d = 2
So, we need to find n at the last term which is X
∴ X = 0 + 2 ( n -1 )
∴ n - 1 = X/2
∴ n = X/2 + 1
The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)
Substitute with a and d and X
So, the sum = (n/2) * (2*0 + (n−1)*2)
= (n/2) * ((n−1)*2)
= n(n-1)
= (X/2 + 1) * (X/2)
= X/2 by (X/2 + 1)
So, The quick way to add all even numbers between 0 and X always works.