Answer:
the rate of change is 4.
Step-by-step explanation:
It is 4 because to find the rate of change you need to see how many pieces of corn (y) there are for every serving (x). If you see if you plug in the number three in between 2 and 4 for the servings and you follow the pattern of the table you will get 12. Then you subtract 8 from 12 and you get 4.
so basically the rate of change is the difference in corn for every serving.
Answer:
x= 3s -8
3 times Sarah's age is 3s hence the expression is as shown
Step-by-step explanation:
The simplest possible form of f(n) is:
f(n) = n² + bn + c
f(n) / (n + 1) has a remainder of -12, so:
n² + bn + c = (n + p) (n + 1) − 12
n² + bn + c = n² + (1 + p)n + p − 12
b = 1 + p and c = p − 12
f(n) / (n + 2) has a remainder of -24, so:
n² + bn + c = (n + q) (n + 2) − 24
n² + bn + c = n² + (2 + q)n + 2q − 24
b = 2 + q and c = 2q − 24
Setting the expressions equal:
1 + p = 2 + q and p − 12 = 2q − 24
1 = p − q and p = 2q − 12
Solving the system of equations:
1 = q − 12
q = 13
p = 14
b = 15, c = 2
Therefore, f(n) is:
f(n) = n² + 15n + 2
Using grouping:
f(n) = n² + 3n + 2 + 12n
f(n) = (n + 1) (n + 2) + 12n
f(n) / ((n + 1) (n + 2) = 1 + (12n) / ((n + 1) (n + 2))
The remainder is 12n.
Answer:
39
Step-by-step explanation:
esitmate 394.6 to be 390 and 9 to be 10