Part A: In (0,4) and (1,8), as x increases from 0 to 1, y increases from 4 to 8. The slope of the line connecting these 2 pts. is (8-4) / (1-0), or 4. Now do the same thing for the 2 pts (1,8) and (2, 10). You will find that the slope in the 2nd case is different. Thus, the 3 given pts do NOT lie on a straight line. Function is non-linear.
Part B: an example of a non-linear function would be y = 2x^2 - 5. You can tell immediately from that exponent, 2, that this function is non linear.
An ex. of a linear function would include x to the 1st power only: y = 3x - 7.
Answer: 20 minutes
Step-by-step explanation:
An hour is 60 minutes, so (1/3)(60 min) = 20 min.
Answer:
x = -1
Step-by-step explanation:
3(x+1) = -2(x-1) - 4
3x + 3 = -2x + 2 - 4
3x + 3 = -2x - 2
Add the -2x to both sides
5x + 3 = -2
Subtract the 3 to both sides
5x = -5
Divide both sides by 5
x = -1
Its too small
1 1 1 1 1 1 1 1 1 1 1