Answer:
(x + 2) is a factor of f(x)
Step-by-step explanation:
Using the remainder theorem to divide f(x) by (x - h)
Evaluate f(h) and if equal to 0 then (x - h) is a factor
f(- 3) = (- 3)³ - 7(- 3)² + 36 = - 27 - 63 + 36 ≠ 0
f(- 2) = (- 2)³ - 7(- 2)² + 36 = - 8 - 28 + 36 = 0
f(- 6) = (- 6)³ - 7(- 6)² + 36 = - 216 - 252 + 36 ≠ 0
f(2) = 2³ - 7(2)² + 36 = 8 - 28 + 36 = 16 ≠ 0
Hence (x + 2) is a factor of f(x)
This pattern appears to alternate between doubling and subtracting by 1.
To get from 3 to 6, we multiply by two.
To get from 6 to 5, we subtract one.
To get from 5 to 10, we multiply by two.
To get from 10 to 9, we subtract one.
To get from 9 to 18, we multiply by two.
To get from 18 to 17, we subtract one.
Therefore, next we need to multiply by two.
17 x 2 = 34
So, the next number is 34.
To find the number after, we subtract one.
34 - 1 = 33
Thus, the number after is 33.
In conclusion, the next two numbers are 34 and 33.
Answer:
x>5
Step-by-step explanation:
Answer: the on to the bottom left
Step-by-step explanation: c would be right because you have a positive slope
Inverse variation means y=k/x, we are given (3,6) so
6=k/3
k=18 so
y=18/x
y=18/27
y=2/3