) Write a system of equations to describe the situation below, solve using substitution, and
fill in the blanks.
)) A business owner wants to have the front window of his store painted and is considering
two artists for the job. Bryce has quoted a flat rate of $250 for the job. Heather's quote is
$43 per hour, plus $78 to cover the cost of materials. Depending on how long it takes
Heather to paint the window, these two could end up charging the same amount. How much
would it cost? How long would Heather have to take?
)) The cost would be $1
with either artist if the job took Heather
hours.

i think the amount would be $140.62

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week