Solve the equation that models the volume of the shipping box, 8(n + 2)(n + 4) = 1,144. if you get two solutions, are they both reasonable?

is reasonable.

is not reasonable, because the volume of the shipping box can't be negative.

Step-by-step explanation:

1. Apply the Distributive property to the given equation. Then, you have:

2. You obtain a quadratic equation, then you can use the quadratic formula to solve it:

3. Then, you obtain:

4. The volume of the shipping box can't be negative. Therefore, is reasonable and is not reasonable.

Only n=9 is reasonable.

Step-by-step explanation:

We have been given that the volume of the shipping box is: .

First of all we will distribute 8 to (n+2).

Using FOIL we will get,

Upon dividing our equation by 8 we will get,

Now we will factor out our given equation by splitting the middle term.

Since the volume of a box can not be negative, therefore, only one solution is reasonable, that is n=9.

A) -5

Answer to the 2nd question: the linear factors of the cubic are: A) (x-2)(x-3)(x-5)

Answer to the 3rd question: to solve for the leading coefficient, use: D) -5=a(0-2)(0-3)(0-5)

Answer to the 4th question: A=1/6

Answer to the 5th question: write the function: f(x)=1/6  x^3-=5/3 x^2+=31/6 x-=5