If x - 4 ≥ 0, then |x - 4| = x - 4, so
G(x) = F(x) ⇒ 3x + 2 = (x - 4) + 2
⇒ 3x + 2 = x - 2
⇒ 2x = -4
⇒ x = -2
Otherwise, if x - 4 < 0, then |x - 4| = -(x - 4), so
G(x) = F(x) ⇒ 3x + 2 = -(x - 4) + 2
⇒ 3x + 2 = -x + 6
⇒ 4x = 4
⇒ x = 1
However,
• when x = -2, we have
G(-2) = 3(-2) + 2 = -4
F(-2) = |-2 - 4| + 2 = 8
• when x = 1, we have
G(1) = 3(1) + 2 = 5
F(1) = |1 - 4| + 2 = 5
so only x = 1 is a solution to G(x) = F(x).
Answer:
48 binders
Step-by-step explanation:
36 inches
3/4 inches
flip around the fractio
36 x 4/3 = 48
OR 36 x 1.25=48
Answer:
Step-by-step explanation:
chickens + goats = 13
so...
c + g = 13, so...
g = (13 - c)
2 legs times the number of chickens (2c) + 4 legs times the number of goats (4g) = 48 total legs. So...
2c + 4(13-c) = 48, so
2c + 52 - 4c = 48, so
-2c = -4, so
2c = 4, so
c = 2.
There are 2 chickens, and therefore 11 goats.
