The gasoline prices in seven states are $1.96, $2.09, $1.79, $1.61, $1.75, $2.11, and $1.84.
The median gasoline price is
. The difference of the first and third quartiles in this set of gas prices is

1.84, 3.29 , 9.86

Step-by-step explanation:

Check attachment

The median gasoline price is $1.84

The difference of the first and third quartiles in this set of gas prices is $0.34

Step-by-step explanation:

Let's order the seven gasoline prices given, this way:

$1.61, $1.75,  $1.79, $1.84, $1.96, $2.09, $2.11

Now, let's cut the list into quarters:

$1.61, $1.75,  

$1.79, $1.84, $1.96,

$2.09, $2.11

And the result is:  

Quartile 1 (Q1) = $1.75

Quartile 2 (Q2), which is also the Median, = $1.84

Quartile 3 (Q3) = $2.09

The median gasoline price is $1.84

The difference of the first and third quartiles in this set of gas prices is $ 0.34 (2.09 - 1.75)

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)