Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Step-by-step explanation:
A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.
A relationship is direct variation if where k is the constant.
Now checking if the given data is having direct variation or not.
x y
3 24
4 32
5 40
6 48
Now finding y/x
if y=24 and x = 3 then y/x = 24/3 = 8
if y=32 and x = 4 then y/x =32/4=8
if y=40 and x = 5 then y/x =40/5 =8
if y=48 and x = 6 then y/x =48/6= 8
Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Keywords: Direct Variation
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Answer:
the answer is D
Step-by-step explanation:
Its okay if you still get it right but trust me its right.
Splitting up [0, 3] into equally-spaced subintervals of length gives the partition
where the right endpoint of the -th subinterval is given by the sequence
for .
Then the definite integral is given by the infinite Riemann sum
PART 1:
Jeremy gives the correct answer.
The value of 0.41 [with a bar over the digit 4 and 1] shows that the digit 4 and 1 are reoccurring = 0.414141414141414141....
Jenny's assumption of 41/100 will give a decimal equivalency of 0.41 [without a bar over digit 4 and 1]. This value is not a reoccurring decimal value.
PART 2:
The long division method is shown in the picture below
PART 3:
As mentioned in PART 1, the result of converting 41/100 into a decimal is 0.41 [non-reoccuring decimal] while converting 41/99 into a decimal is 0.41414141... [re-occuring decimal]. The conjecture in PART 1 is correct
Answer:
Step-by-step explanation:
The given ratio is
9 is the common factor of 18 and 27
divide numerator and denominator by 9
hence is proportion with