Gabriel borrowed some money from his friend in order to help buy a new video
game system. Gabriel agreed to pay the friend back some
amount every week until his loan was paid off. Let L represent the
amount Gabriel owes his friend after t weeks. A graph of L is shown
below. Write an equation for I then state the slope of the graph and
determine its interpretation in the context of the problem.
210
200
190
180
170
160
150
140
130
120
110
Amount of Money Owed
100
90
80
70
60
50
40
30
20
10
o
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
Number of Weeks
Note: The line drawn is dotted because the domain of the function is limited to the integers
L =
The slope of the function is
which reveals

i am unable to solve this problem

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

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)

$450 i think. hope this ☺