Consider rectangular box with
- length x units (x≥0);
- width 3 units;
- height (8-x) units (8-x≥0, then x≤8).
The volume of the rectangular box can be calculated as

In your case,

Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).
From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.
Then the volume will be V=0 (minimal).
Answer: correct choices are B (the maximum possible length), C (the minimum possible height)
The answer for this question would be and is 20.
Answer:

Step-by-step explanation:
We can divide polynomials by other polynomials by dividing each term by the denominator. Remember, when we divide a variable by itself, we must change the exponent in our answer according to exponent rules.

Line 1 and Line 4 are parallel lines
Solution:
General equation of a line:
y = mx + c
where m is the slope and c is the y-intercept of the line.
<u>To find the slope of each line:</u>
Line 1: 
Slope 
Line 2: 

Add 7 on both sides, we get

Slope 
Line 3: 
Slope 
Line 4: 
Subtract x from both sides, we get

Multiply by
on both sides, we get

Slope 
<em>Two lines are parallel, if their slopes are equal.</em>
From the above slopes,

Therefore Line 1 and Line 4 are parallel lines.
Answer:
the equation would be f(x)= -9x+3 or y=-9x+3
Step-by-step explanation: