Answer:
period = 2
Step-by-step explanation:
The period is the measure of 1 complete cycle of the wave
The wave enters at x = 0 , y = - 0.5
After 1 cycle the wave is at x = 2, y = - 0.5
period = 2 - 0 = 2
The longest piece is 24 ft and the smallest piece is 4 ft
Answer: 
Step-by-step explanation:
To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.
[replace y with x and x with y]
[subtract both sides by 7/2]
[multiply both sides by -2/3]
[distribute]
Now, we have our inverse function.
Step-by-step explanation:
[70,30] = 210 miles per hour
The solution (x,y) needs to work in both equations. With multiple choice you can do guess and test method. Otherwise you need to combine the two equations into one by substitution or elimination methods.
21. substitution works well here since one equation is y= x+3. you can easily substitute the (x+3) for y in the other equation.
2x + (x+3) = -6
3x + 3 = -6
3x = -9
x = -3
use this in either equation to find y.
y = (-3)+3
solution: (-3,0)
22. these both equal y so they equal each other.
4x - 1 = 3x +6
4x - 3x = 6 + 1
x = 7
use this in either equation to find y
y = 4(7) - 1
y = 28 - 1
y = 27
solution: (7,27)
23. one equation is y = 2x - 3. So substitute (2x -3) for y in the other equation.
4x = 2(2x - 3) + 6
4x = 4x - 6 + 6
4x = 4x
x = x
any solution will work, infinitely many.
24. infinitely many solutions means the two equations are the same equation. Like the previous one they didn't look the same but if you put them both in terms of y...
y= 2x-3
4x = 2y + 6
4x - 6 = 2y
(4x - 6)/2 = y
2x - 3 = y
same equation.
from the image, I can't see all options but A & C do not look like the same equations. It's got to be either B or D.
