Raphael graphed the functions g(x) = x + 2 and f(x) = x – 1. how many units below the y-intercept of g(x) is the y-intercept of f(x)?

The distance between y-intercepts of f(x) and g(x) = 3 units

Step-by-step explanation:

For better understanding of the solution, see the plotted graph which is attached below :

f(x) = x - 1

g(x) = x + 2

Now, to find the distance between the y - intercepts of f(x) and g(x), First find the y-intercepts of both the given functions

y-intercepts of f(x) = x - 1

At y-intercept the x-coordinate = 0

⇒ y = 0 - 1

⇒ y = -1

y-intercepts of g(x) = x + 2

At y-intercept the x-coordinate = 0

⇒ y = 0 + 2

⇒ y = 2

Now, distance between the two intercepts = 2 - (-1)

                                                                        = 2 + 1

                                                                        = 3

Hence, the distance between y-intercepts of f(x) and g(x) = 3 units

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

in 1995, potato plants were taken into space aboard the space shuttle columbia.

step-by-step explanation: