Volume is legnth times width times height so 3 dimentions
thee teacher probabl y wants you to factor the trinomial into 3 factors so
x^3+5x^2-24x
first factor out x
x(x^2+5x-24)
then factor
find what 2 numbers multiply to get -24 and add to get 5
the numbers are -3 and 8
x^2+5x-24 factors to
(x-3)(x+8)
the factored form is
(x)(x-3)(x+8)=volume
no dimention can be ≤0 so therefor
x≤0
x-3≤0
add 3
x≤3
x+8≤0
subtract 8
x≤-8
so the values for x is x<3
so if you had the volume, let's say 42 then
x^3+5x^2-24x=42
subtract 42 from both sides
x^3+5x^2-24x-42=0
factor and set each to zero to find the dimentions
4(x² - 2) = 28
1. Distribute the 4
4x² - 8 = -28
2. Plug in 3 and -3
4(3)² - 8 = 28
4(-3)² - 8 = 28
3. Square 3 and -3
4(9) - 8 = 28
4(9) - 8 = 28
28 = 28
The reason both answers are the same is because whenever you put a negative number to an even power, the result becomes positive because any negative multiplied by a negative number is always positive.
28 = 28
Answer:
37
Step-by-step explanation:
10x40 = 400
2(39+42)+ 40 x 4 + 41 + X = 400
162 + 160 + 41 = 400 - X
400 - 363 = X
X= 37
