Answer:
-15
Step-by-step explanation:
-1-7*(2)=-1-14=-15
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:
3/5
Step-by-step explanation:
We want to find the fraction of the original branch that remains, so we will assume a length of the branch in order to make our calculation easier.
Since Kim marks it off in thirds and fifths, let's find the least common multiple of 3 & 5.
Least common multiple of 3 & 5 is 15.
Thus,let's make the length of the branch to be 15-meter long.
Now, if the branch is 15 m long, considering the markings of thirds and fifths, the branch would be cut at:
3, 5, 6, 9, 10, 12 meters.
We are told that She then breaks the branch along all the markings and removes one piece of every distinct length. Thus;
Distinct lengths are;
3 metres
5 - 3 = 2 metres
10 - 9 = 1 meter
Total she removes = 3 + 2 + 1 = 6 meters.
Total remaining is;
15 - 6 = 9 meters
Expressing this as a fraction of the original branch gives:
9/15
Divide both numerator and denominator by 3 to get; 3/5
Answer:
7
Step-by-step explanation:
