Answer:
(1, 1) is the only one on the graph
Step-by-step explanation:
To determine if an ordered pair lies on the graph, substitute the x-coordinate of the ordered pair into f(x) and evaluate. If the value equals the y-coordinate of the ordered pair then it lies on the graph
f(1) = (2 × 1) - 1 = 2 - 1 = 1 ⇒ (1, 1) lies on graph
f(- 1) = (2 × - 1) - 1 = - 2 - 1 = - 3 ≠ - 4 ⇔ (- 1, - 4 ) not on graph
f(- 2) = (2 × - 2) - 1 = - 4 - 1 = - 5 ≠ - 
⇒ (- 2, - ) not on graph
f(0) = (2 × 0) - 1 = 0 - 1 = - 1 ≠ 
⇒ not on graph
Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (- 6, - 2)
m = 
= 
= -
Your answer is correct. Indeed:
- In order to find the degrees per minute, you have to divide the full rotation angle (which is 360deg) by the number of minutes (which is 60):
360deg ÷ 60min = 6 deg/min
- In order to find how many minutes have passed, you subtract the times:
1h50m - 1h25m = 0h25m
- You then find how many degrees correspond to 25minutes:
6 deg/min × 25 min = 150deg
- Lastly, you transform degrees into radiants, through the proportion:
deg : 180 = rad : π
Therefore,
150 : 180 = rad : π
rad = (150×π)/180 = 5π/6
