Avery is tracking the height of a plant that grows at a constant rate. After the third week, the plant is 8.5 centimeters high. After the seventh week, the plant is 18.5 centimeters high. What was the original height, in centimeters, of the plant and how many centimeters did it grow per week?

Original Plant was 1cm and it grew 2.5 cm per week.

Step-by-step explanation:

Using the Slope Formula (y2-y1/x2-x1)we can get how many centimeters it will grow in a week.

18.5cm-8.5cm/7-3

10cm/4

2.5 cm per week.

126 maybe. sorry

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)