10 Mins till due! :( urgent & will mark :( Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and
he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

1. Write an equation to represent the number of pages Amir has read. (Use x for days, y for pages)

2. Using x, the number of days amir has been reading, write an expression to represent the number of day Jesse has been reading.

3. Write the system of equations using answers 1 & 2

4. (Use substitution) Which variable will you substitute for and why?

5. Solve the system of equations.

6. How many days does it take Amir to catch Jesse? At that time how many pages have they read?

this is false ^.^ lol

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.