1. (08.01 lc)
line a is represented by the equation given below:
x + y = 3
what is most likely the equation for line b, so that the set of equations has infinitely many solutions? (1 point)
3x + 3y = 3
3x + y = 3
x + y = 9
3x + 3y = 9
2. (08.01 mc)
two lines, a and b, are represented by equations given below:
line a: y = x – 4
line b: y = 3x + 4
which of the following shows the solution to the system of equations and explains why? (1 point)
(–3, –5), because the point satisfies one of the equations
(–3, –5), because the point lies between the two axes
(–4, –8), because the point satisfies both equations
(–4, –8), because the point does not lie on any axis

explanation:

remove parenthesis:

=

apply rule

=

multiply fractions:

=

=

divide:

=

mordancy.

(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