Yelena chants P, Q, R, S, T, U repeatedly (e. g. P, Q, R, S, T, U, P, Q, R, . . .). Zeno chants 1, 2, 3, 4 repeatedly (e. g. 1, 2, 3, 4, 1, 2, . . .). If Yelena and Zeno begin at the same time and chant at the same rate, which combination will not be said?

P2, P4, Q1, Q3, R2, R4, S1, S3, T2, T4, U1, U4 will not be said

Step-by-step explanation:

Will be said:

P1

Q2

R3

S4

T1

U2

P3

Q4

R1

S2

T3

U4

Pattern repeats after this

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

i think the answer is b.

step-by-step explanation:

not 100% sure though.