Answer:
Step-by-step explanation:
The equation representing the growth of the plant after x weeks is expressed as
y = 0.2x+2
Where
x represents the number of weeks.
y represents the height of the plant after x weeks in inches.
A.
The height of the plant after week 3 was about 2.6 inches. We can check by substituting x = 3 into the equation. It becomes
y = 0.2 × 3 + 2 = 2 + 0.6 = 2.6 inches. It is correct.
B is incorrect.
C.
The height of the plant after week 9 was about 3.8 inches. We can check by substituting x = 9 into the equation. It becomes
y = 0.2 × 9 + 2 = 2 + 1.8 = 3.8 inches. It is correct.
D is incorrect
Answer:
thanks for the question mam.
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).
