Answer:
y equals one fourth times x minus 16
y = 4x − 16
Step-by-step explanation:
this is because you're taking the time it took to get there minus 16 because of the delay
x^4 + 6x^3 + 33x^2 + 150x + 200
x^4 + 2x^3 + 4x^3 + 8x^2 + 25x^2 + 50x + 100x + 200
x^3 x (x + 2) + 4x^2 x (x + 2) + 25x x (x+2) + 100 (x + 2)
(x + 2) x (x^3 + 4x^2 + 25x + 100)
(x + 2) x (x^2 x (x + 4) + 25 (x + 4))
solution : (x + 2) x (x + 4) x (x^2 + 25)
Answer:


<em>f(x) and g(x) and not inverse functions</em>
Step-by-step explanation:
Given


Required
Determine f(g(x))
Determine g(f(x))
Determine if both functions are inverse:
Calculating f(g(x))



Expand Brackets




Calculating g(f(x))




Expand Brackets



Checking for inverse functions

Represent f(x) with y

Swap positions of x and y

Subtract 9 from both sides



Divide through by 3


Take square root of both sides


Represent y with g(x)

Note that the resulting value of g(x) is not the same as 
<em>Hence, f(x) and g(x) and not inverse functions</em>
Answer:
The first box will have 90 marbles, the second 180 and the third 270.
Step-by-step explanation:
Division in a ratio of 1:2:3
1 + 2 + 3 = 6
So
The first box will have 1/6 of the marbles.
The second box will have 2/6 = 1/3 of the marbles
The third box will have 3/6 = 1/2 of the marbles.
First box:
One sixth, so:
(1/6)*540 = 540/6 = 90
Second box:
One third, so:
(1/3)*540 = 540/3 = 180
Third box:
One half, so:
(1/2)*540 = 540/2 = 270
The first box will have 90 marbles, the second 180 and the third 270.