Answer:
X
Step-by-step explanation:
To be a function, the line has to pass the vertical line test. This means that when a vertical line is passed through every x value, it will only cross the graphed line once.
To help: draw vertical lines through each graph.
In graph W: the line would pass through the top and bottom of the circle - not a function
In graph X: the line passes once through every area - a function
In graph Y: the line passes through the top curve as well as the bottom curve - not a function
In graph Z: the line passes through the curves multiple times - not a function
Answer:
0.05 or ![\frac{1}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B20%7D)
Step-by-step explanation:
×
=![\frac{1}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B20%7D)
Answer:
Step-by-step explanation:
<u>Total miles per trip:</u>
- 23219.1 - 23125.6 = 93.5 miles
<u>Amount reimbursed:</u>
Answer: 1) 1/3,654 2) 3/406 3) 72,684,900,288,000 4) 120
<u>Step-by-step explanation:</u>
1) First and Second and Third
![\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}\times \dfrac{1\ remaining\ prize}{27\ remaining\ people}=\dfrac{6}{21,924}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad =\large\boxed{\dfrac{1}{3,654}}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%5C%20total%5C%20prizes%7D%7B29%5C%20total%5C%20people%7D%5Ctimes%20%5Cdfrac%7B2%5C%20remaining%5C%20prizes%7D%7B28%5C%20remaining%5C%20people%7D%5Ctimes%20%5Cdfrac%7B1%5C%20remaining%5C%20prize%7D%7B27%5C%20remaining%5C%20people%7D%3D%5Cdfrac%7B6%7D%7B21%2C924%7D%5C%5C%5C%5C%5C%5C.%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cquad%20%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B1%7D%7B3%2C654%7D%7D)
2) First and Second
![\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}=\dfrac{6}{812}=\large\boxed{\dfrac{13}{406}}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%5C%20total%5C%20prizes%7D%7B29%5C%20total%5C%20people%7D%5Ctimes%20%5Cdfrac%7B2%5C%20remaining%5C%20prizes%7D%7B28%5C%20remaining%5C%20people%7D%3D%5Cdfrac%7B6%7D%7B812%7D%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B13%7D%7B406%7D%7D)
![3)\quad \dfrac{29!}{(29-10)!}=\large\boxed{72,684,900,288,000}](https://tex.z-dn.net/?f=3%29%5Cquad%20%5Cdfrac%7B29%21%7D%7B%2829-10%29%21%7D%3D%5Clarge%5Cboxed%7B72%2C684%2C900%2C288%2C000%7D)
![4)\quad _{10}C_3=\dfrac{10!}{3!(10-3)!}=\large\boxed{120}](https://tex.z-dn.net/?f=4%29%5Cquad%20_%7B10%7DC_3%3D%5Cdfrac%7B10%21%7D%7B3%21%2810-3%29%21%7D%3D%5Clarge%5Cboxed%7B120%7D)