Answer:
In the first one you are missing (x - 3) so it will be 4(x - 3) and if you factor it out it will be 4x - 12
In the second one you are missing a (x -5)which means 9x(x -5) or when you factor it out it will be 9x^2 - 45x
Step-by-step explanation:
3x^2 -23x + 40 = (3x - 8) (x - 5)
3x^2 -17x + 24 = (3x -8) ( x - 3)
Answer:
hmmm
Step-by-step explanation:
Answer:
x=0 x=2
Step-by-step explanation:
X² - 2x=0
Factor
x(x-2) = 0
Using the zero product property
x=0 x-2 =0
x=0 x=2
This is a problem of maxima and minima using derivative.
In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:
V = length x width x height
That is:

We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:
Surface area of the square base =

Surface area of the rectangular sides =

Therefore, the total area of the cube is:

Isolating the variable y in terms of x:

Substituting this value in V:

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

Solving for x:

Solving for y:

Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ftWidth = 4 ftHeight = 2 ftAnd its volume is: