5. During the holidays, Toys 4 U donates boxes of toys to communities in
need. The company ships the toys in three different boxes. The owners
need to determine how much more space the larger boxes have for
shipping purposes. The volume of the shipping boxes in cubic feet are
expressed in the following table.
Size
Volume Function
Small
s(x) = x3 + 4x2 + 11x + 23
Medium
m(x) = 2x3 + 11x2 + 17x + 6
Large
1(x) = 2x3 + 21x2 + 38x + 95
Part A: Write an expression to represent the extra space available in the
medium box when compared to the small box.
Part B. Write an expression to represent the extra space available in the
large box when compared to the medium box.
Part C: Write an expression to represent the extra space available in the
large box when compared to the small box.
ATH
TION

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

-1/3(x+1)^5

i’m pretty sure this is correct