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Choosing a Table
The time spent dancing (minutes) and the amount of calories burned can be modeled by the equation c = 5,5t.
Which table of values matches the equation and includes only viable solutions?
Time (t)
Calories (c)
Time (t)
Calories (c)
Time (t)
-5
Calories (c)
-27.5
0
0
-20
0
-110
0
5
27.5
-15
-82.5
5
27.5
10
55
-55
10
55
-10
-5
15
82.5
-27.5
o
O

sadsdda

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)