4 more than the quotient 12 and a number x

What is the effect on the graph of the function f(x)=x when f(x) is replaced with -f(x)+4

What is the missing reason in the proof? segment addition congruent segments theorem transitive property of equality subtraction property of equality?

According to the 2008 u. s. census, california had a population of approximately 4 × 10^7 people and florida had a population of approximately 2 × 10^7 people. which of the following is true? a. the population of california was approximately two times the population of florida. b. the population of florida was approximately twenty times the population of california. c. the population of florida was approximately two times the population of california. d. the population of california was approximately twenty times the population of florida.