The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
<h3>How to determine the volume?</h3>
The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
Read more about polynomial at:
brainly.com/question/4142886
#SPJ1
Answer:
LN=64 units
Step-by-step explanation:
step 1
Find the value of x
we know that
LN=LM+MN -----> equation A
see the attached figure to better understand the problem
we have
LN=12x+16
LM=10x+8
MN=5x-4
substitute the values in the equation A
12x+16=(10x+8)+(5x-4)
Solve for x
12x+16=15x+4
15x-12x=16-4
3x=12
x=4
step 2
Find the value of LN
LN=12x+16
LN=12(4)+16=64 units
Answer:
(-3, 0) and (-1, 0)
Step-by-step explanation:
roots of the eqn = the x-intercepts (if any)
Topic: Quadratic Graphs.
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
- - - -- - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - -- - -
How do we write 8x-2y=10 in slope intercept form?
First subtract 8x on both sides:-
-2y=10-8x
or
-2y=-8x+10
Now divide by -2 on both sides:-
y=2x-5
This is our equation in slope intercept form.
<h3>Good luck.</h3>
- - - -- - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - -
Answer: 4.2 kilograms
Step-by-step explanation: