The volume in cubic feet of a box can be expressed as (x)=x^3-6x^2+8x , or as the product of three linear factors with integer c
oefficients. The width of the box is x-2. Factor the polynomial to find linear expressions for the height and the length. Show your work.
1 answer:
Volume of the vox: V(x)=x^3-6x^2+8x
V(x)=W(x) H(x) L(x)
Width: W(x)=x-2
Height: H(x)=?
Length: L(x)=?
Factoring the equation of Volume:
V(x)=x^3-6x^2+8x
Common factor x:
V(x)=x(x^3/x-6x^2/x+8x/x)
V(x)=x[x^(3-1)-6x^(2-1)+8]
V(x)=x(x^2-6x+8)
V(x)=x(x-2)(x-4)
V(x)= W(x) H(x) L(x)
We know that W(x)=x-2
Then we have two options for H(x) and L(x):
1) First option: L(x)=x and H(x)=x-4
or
2) Second option: L(x)=x-4 and H(x)=x
You might be interested in
Answer:
C
Step-by-step explanation:
The sum to n terms of a geometric sequence is
= 
Here a₁ = 4 and r = - 3, thus
= 
=
= - (729 - 1) = - 728 → C
Answer:
9:3 or 9 to 3
Step-by-step explanation:
Mark brainlist please!
Answer is 50 degrees
Since,
measure of angle F + measure of angle G + measure of angle H = 180
30 + 100 + measure of angle F = 180
Measure of angle F = 180 - 130
Measure of angle F = 50 degrees
Answer:
∠ ABC = 53.5°
Step-by-step explanation:
The inscribed angle ABC is half the measure of the intercepted arc AC
∠ ABC =
× 107° = 53.5°
The arc length, radius and the included angle are related as
where
is in radians.
The radius
is given by

Correct choice is (B).