Step-by-step explanation:

Answer:
y = 1/2x + 3
O f(x)= 1/2x+3
Step-by-step explanation:
f(x) = 2x - 6
y = 2x - 6
x = 2y - 6
2y = x + 6
y = (x + 6)/2
y = 1/2x + 3
Answer:
A. 3 < t < 9
Step-by-step explanation:
When the particle is moving to the right, the velocity is positive.
To find the velocity, take the derivative of s(t) with respect to t.
s(t) = -t³/3 + 13t²/2 − 30t
s'(t) = -t² + 13t − 30
Find when the velocity is 0.
0 = -t² + 13t − 30
0 = t² − 13t + 30
0 = (t − 3) (t − 10)
t = 3, 10
Check the sign of s'(t) in each interval.
0 < t < 3, s'(t) < 0
3 < t < 9, s'(t) > 0
The particle moves to the right when 3 < t < 9.
Answer:
11/3 ÷ 2/3 = 5 1/2
Step-by-step explanation:
When doing divison of fractions, you do these steps
11/3 ÷ 2/3 you turn the division sign to a multiplication sign, but by doing that you will have to turn 2/3 to 3/2.
11/3 × 3/2. Now all you have to do is multiply
11/3 × 3/2 = 33/6, simplify that down is 5 3/6, which is 5 1/2