Which values of p and q result in an equation with exactly one solution? px -43= -42x+q. choose all answers that apply. a. p= 42 and q = 42. b. p= 43 and q = -42. c. p= -43 and q = -43. d. p = 42 and q= 43

All are valid

Step-by-step explanation:

Px - 43 = -42x + Q (rearrange)

x = (Q+43) / (P + 42)  <Substitute options for P & Q into this equation to see which combination gives exactly 1 solution for x

A) P=42, Q = 42; x = (42+43) / (42+42) = 1.011 (only 1 solution = valid)

B) P=43, Q = -42; x = (-42+43) / (43+42) = 0.012 (only 1 solution = valid)

C) P=-43, Q = -43; x = (-43+43) / (-43+42) = 0 (only 1 solution = valid)

D) P=42, Q = 43; x = (42+43) / (42+42) = 1.023 (only 1 solution = valid)

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.