Answer:
A. f and h
Step-by-step explanation:
For a linear function the First Differences of the y-values must be a constant. i.e. if we take the difference between any two consecutive y values or values of f(x) it should be the constant. For this rule to work, x values must change by the same number every time, which is true for all three given functions.
For function f:
The values of f(x) are: 5,8,11,14
We can see the difference in consecutive two values is a constant i.e. 3, so the First Difference is the same. Hence, function f is a linear function.
For function g:
The values of g(x) are: 8,4,16,32
We can see the difference among two consecutive values is not a constant. Since the first differences are not the same, this function is not a linear.
For function h:
The values of h(x) are: 28, 64, 100, 136
We can see the difference among two consecutive values is a constant i.e. 36. Therefore, function h is a linear function.
Answer:
256
Step-by-step explanation:
4×4=16
16×4=64
64×4=256
Answer:
5
Step-by-step explanation:
The interquartile range is the difference between the upper quartile and the lower quartile.
First find the median.
The median is the middle value of the data set arranged in ascending order
1 5 5 7 9 ← data in ascending order
↑ median
The lower quartile is the middle value of the data to the left of the median. If there is not an exact middle then it the average of the values on either side of the middle.
1 5
↑ lower quartile =
= 3
The upper quartile is the middle value of the data to the right of the median.
7 9
↑ upper quartile =
= 8
Thus
interquartile range = 8 - 3 = 5
4 + -1 1/3
Turn 4 into an improper fraction.
4/4 is equal to 12/3. We want both 4 and 1 1/3 to have the same denominator so that they could be subtracted from each other.
New question :
12/3 + - 1 1/3
Turn {-1 1/3} into an improper fraction.
(3 × 1) + 1 = 4/3
So, -1 1/3 = -4/3
Our new question :
12/3 + - 4/3
Simplify.
12/3 - 4/3 = 8/3
Turn into a mixed number.
2 2/3
~Hope I helped!~