Julie's favorite number is 4. She invents four different rules that fix the number four. This means that when the number 4 is the input, the number 4 is also the output. Show that each rule fixes four. Change the rules so that a new rule fixes 3. a. x/4 + 3
b. -4(x - 4) +4
c. 4^(x-3)
d. x^2

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

Explain step-by-step how to simplify -5(2x – 3y + 6z – 10).

Janie has $3. she earns $1.20 for each chore she does and can do fractions of chores. she wants to earn enough money to buy a cd for $13.50. write an inequality to determine the number of chores, c, janie could do to have enough money to buy the cd.