A relation is (also) a function if every input x is mapped to a unique output y.
In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:
- The first graph is exactly a vertical line, so it's not a function.
- The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.
- The third graph is not a function, because you can draw vertical lines that cross the graph twice.
- Similarly, in the fourth graph you can draw vertical lines that cross the graph twice
- The fifth graph is a function, because every vertical line crosses the graph once
- The last graph is a function, although discontinuous, for the same reason.
Answer:
the dryer costs $425
Step-by-step explanation:
x = washer
y = dryer
x + y = 803
x = y - 47
using the second equation a substitute in the first equation we get
y - 47 + y = 803
2y = 850
y = $425
FYI
x = y - 47 = 425 - 47 = $378
Answer:
D. 22,417 feet
Step-by-step explanation:
Fine the diagram in the attachment for proper elucidation. Using the SOH, CAH, TOA trigonometry identity to solve for the distance (x) from the plane (P) to the observer (O), the longest side x is the hypotenuse and the side facing the angle of elevation is the opposite.
Hypotenuse = x and Opposite = 15,000feet
According to SOH;
![sin 42^0 = \frac{Opposite}{Hypotenuse} \\\\Sin42^0 = \frac{15000}{x}\\ \\x = \frac{15000}{sin42^0}\\\\ \\](https://tex.z-dn.net/?f=sin%2042%5E0%20%3D%20%5Cfrac%7BOpposite%7D%7BHypotenuse%7D%20%5C%5C%5C%5CSin42%5E0%20%3D%20%5Cfrac%7B15000%7D%7Bx%7D%5C%5C%20%5C%5Cx%20%3D%20%5Cfrac%7B15000%7D%7Bsin42%5E0%7D%5C%5C%5C%5C%20%5C%5C)
![x = \frac{15000}{ 0.6691} \\\\x = 22,417 feet](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B15000%7D%7B%200.6691%7D%20%5C%5C%5C%5Cx%20%3D%2022%2C417%20feet)
Hence the distance (x) from the plane P to the observer O is approximately 22,417 feet
Answer is d
it would be b^12