What is the y intercept of y = ½ x + 4?
a. 1/2
b. 2
c. 4
d. 8

what is the slope of y = ½ x + 4?
a. 1/2
b. 2
c. 4
d. 8

which term means the same thing as slope?
a. y intercept
b. x intercept
c. origin
d. rate of change

which equation shows a greater slope?
a. y = 3x + 8
b. y = 1/3 x + 5
c. y = 2x + 4
d. y = 1/2 x + 6

which function has a greater rate of change?
a. y = x + 2
b. y = 3x - 2
c. y = 4x + 1
d. y = 2x - 1

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.