Z varies directly with x and inversely with y.
1 answer:
Answer:
z =
Step-by-step explanation:
Given that z varies directly with x and inversely with y then the equation relating them is
z = ← k is the constant of variation
To find k use the condition when x = 6 and y = 2, z = 15, thus
15 = ( multiply both sides by 2 )
30 = 6k ( divide both sides by 6 )
5 = k
z = ← equation of variation
When x = 4 and y = 9, then
z = =
You might be interested in
Answer:
-675
Step-by-step explanation:
The sum can be broken into parts that you know. Here, one of those parts is the sum of numbers 1 to n. That sum is given by n(n+1)/2.
__
Another way to do this is to realize the sequence of numbers is an arithmetic sequence with a first term of 65 and a last term of 67-2·75 = -83.
The sum of an arithmetic sequence is found by multiplying the number of terms by their average value. Their average value is the average of the first and last terms.
The average value of those 75 terms is (65 +(-83))/2 = -9, so their sum is ...
75(-9) = -675