Answer:

.
Step-by-step explanation:
Arithmetic sequence

.
First step, find its difference



.
So, we get


.
Finally, Let's find the 75th term




Answer:
g(x) = -2x - 5
2x becomes -2x as a reflection across the y-axis
add on -5 to shift the function 5 units down
Answer D
...........................................
Answer:
30,000 tiles
Step-by-step explanation:
Area of tile = 250mm^2 = 0.25m^2
Total area of kitchen = 3*2.5 = 7.5m^2
No of tiles = 7.5/0.25 = 30,000 tiles
Answer:
-4x^3 +12x^2 for 0 < x < 3
Step-by-step explanation:
The power rule is appropriate:
(d/dx)x^n = n·x^(n-1)
This is applied to each of the terms.
F'(x) = -(4·x^3) +4(3x^2) +0
F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3
__
The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].