ANSWER
When
is written in the form
, it looks like 
EXPLANATION
To write
in the form
, we have to complete the squares.
We add and subtract half the coefficient of
square.

The first three terms of the function is now a perfect square.

We now simplify rto obtain,

Answer:
Check step by step explanation
Step-by-step explanation:
a) Let x represent the amount of rides she takes, the 6 and 2.5 represent the amount of money required to enter
A(x) = 1.5x + 6
B(x) = 2x + 2.5
b) You can find this by making the 2 equations equal to each other and solving for x
1.5x + 6 = 2x + 2.5
3.5 = .5x
7 = x
7 rides make them equal cost
c) Plug in 5 for each of the equations and find out which one is cheaper
A(5) = 1.5 * 5 + 6
A(5) = $13.50
B(5) = 2 * 5 + 2.5
B(5) = $12.50
Carnival B is cheaper
The waitress earns $425 weekly.
Work:
Use proportions.
x 4
------- = ------
4,200 100
4,200 x 4 = 16800
100 multiply x = 100x
16800 divided by 100 = 168
Commission = $168
Base salary = $257
$168 + $257 = $425
Answer:
The third one
Step-by-step explanation:
Its asking if its positive in the interval [-3, -2]
Which means you only look at the graph from -3, -2 on the x axis and we are looking see which one is positive in that space. And by positive it means going up in a positive direction. Only the third one does this.