Solution:
1) Simplify \frac{1}{6}x to \frac{x}{6}
y=\frac{x}{6}-2
2) Add 2 to both sides
y+2=\frac{x}{6}
3) Multiply both sides by 6
(y+2)\times 6=x
4) Regroup terms
6(y+2)=x
5) Switch sides
x=6(y+2)
Done!
ANSWER

EXPLANATION
The given function is,

The parent function of this ceiling function is

When this function is shifted horizontally 3 units to the left, we obtain the transformed function,

The correct answer is option D.
See attachment.
ANSWER
The x-coordinate of the solution to the system of equations is 1.
EXPLANATION
The given equations are:
y = -x - 2
and
y = 2x - 5.
We want to find the x-coordinate of the solution to the system of equations.
We equate the two equations to obtain an equation in x.
This implies that,
2x-5=-x-2
Group similar terms to obtain:
2x+x=-2+5
Simplify
3x=3
Divide both sides by 3.
x=1
The x-coordinate of the solution to the system of equations is 1
Answer:
$8,500
Step-by-step explanation:
Interest = 5000 x 5 x 0.14
= 1000 x 0.14 x 25
= 140 x 25
= 3500
5000 + 3500 = 8500