I think it’s 0.5, sorry if it’s wrong
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
A scale of 1:40 can be read as "one cm on the model corresponds to 40 cm in the original object". or
"one inch on the model corresponds to 40 inches
this means that the 2 inches correspond to 2 times 40, that is 80 inches and 1.5 corresponds to 1.5*40=60 inches
which means that the original paintong has dimentions of 80 by 60 inches.
The answer is A 1/3. Have a good day
