Answer: V = L (k)
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
- <em>Volume of a box = V
</em>
- <em>Length = l
</em>
- <em>Constant of proportionality
= k</em>
We know that the volume of the box (V) varies directly with its length (l).
So, the expression for the volume is:
V = L (k)
Feel free to ask for more if needed or if you did not understand something
Answer:
The carnival is losing (on average) $0.15 on each play
Step-by-step explanation:
To find out how much the carnival wins or looses in each play one subtract the expected value (EV) from each play from the amount charged by the carnival for each play ($0.55). If the expected value is higher than what the carnival charges, the carnival is losing money.
Expected is the sum of the payouts of each bet multiplied by its likelihood:

Since the expected value is higher than $0.55, the carnival is losing money, on average, on each play:

The carnival is losing (on average) $0.15 on each play
If - 1 is a zero then

is a factor.
Dividing with this factor using the long division approach, we get the quadratic factor to be,

(see attachment).
We can rewrite the polynomial as

We can further factor as

That is
Answer:
option C

Step-by-step explanation:
we have

using a graphing tool
see the attached figure N
The range is the interval--------> (-∞,8]

case A) 
using a graphing tool
The range is the interval--------> [-8,∞)

case B) 
using a graphing tool
The range is the interval--------> [8,∞)

case C) 
using a graphing tool
The range is the interval--------> (-∞,8]

case D) 
using a graphing tool
The range is the interval--------> (-∞,-8]
