The coordinate and the second
ordered
for the point on the coordinate
the intersection of th
i s at o on both num
on both number lines and is called the origin.
the origin is located at the ordered par to,
1. the coordinate plane shows the locations
of several places in a city. to find the
coordinates of the library. start at the
high school
library
police
o
city
2. the library is 0.75 unit to the left of the
origin, so the x-coordinate is _0.2
the library is
unit(s) up
from the x-axis, so the y-coordinate is
hall
middle school
the coordinates of the library are
0.25 0.25.
vrite the x-coordinate of the library as a fraction.

jeff jeff

step-by-step explanation:

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.

25/32 is the simplest form