Nathan has 102 solid-colored disks that are red.
blue, and green. he lines them up on the floor
and finds that there are 3 more red disks than blue
and 6 more blue disks than green. how many red
disks are there?

blue = 35

green = 29

red = 38

Step-by-step explanation:

Let r = red

Let g = green

let b = blue

r + g + b = 102

r = b + 3

b = g + 6    Subtract 6 from both sides of the equation

b - 6 = g

substitute for red and green

(b + 3) + b + b - 6 = 102

b + 3 + b + b - 6 = 102

Combine like terms

3b - 3 = 102

Add 3 to both sides

3b - 3 + 3 = 102 + 3

3b = 105

Divide by 3

3b/3 = 105/3

b = 35

r = b + 3

r = 35 + 3

r = 38

g = b - 6

g = 35 - 6

g = 29

0,0

step-by-step explanation:

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8