Answer:
It is a function.
Step-by-step explanation:
You can test if a graph is a function if you draw a vertical line anywhere on the graph and you see it hits two points.
This is the table for the graph.
![\left[\begin{array}{ccc}x&y\\-3&0\\0&1\\3&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26y%5C%5C-3%260%5C%5C0%261%5C%5C3%262%5Cend%7Barray%7D%5Cright%5D)
Remember these rules:
- Each x value, or input, has its unique y value, or output
- If you draw a vertical line anywhere on the graph, it should only go through one point
We can check these two rules for this graph:
- Does each x value have its own, unique y value? Yes
- If you draw a vertical line anywhere on the graph, does it only go through one point? Yes, there are no overlaps
Keep in mind that two different x-values can have the same y value.
Figure 1:
It has two x values with the same y-values.
Figure 2 and 3:
The vertical line goes through two points. So the same x-value has two different y-values.
-Chetan K
We have the equation:
![x^2+y^2-8x-6y+24=0](https://tex.z-dn.net/?f=x%5E2%2By%5E2-8x-6y%2B24%3D0)
By arranging this equation in terms of x and y, we have:
![x^2-8x+y^2-6y=-24 \\ \\](https://tex.z-dn.net/?f=x%5E2-8x%2By%5E2-6y%3D-24%20%5C%5C%20%5C%5C)
By using the method of completing the square, we have:
![x^2-8x+\mathbf{\left(\frac{8}{2}\right)^2}+y^2-6y+\mathbf{\left(\frac{6}{2}\right)^2}=-24+\mathbf{\left(\frac{8}{2}\right)^2}+\mathbf{\left(\frac{6}{2}\right)^2} \\ \\ x^2-8x+\mathbf{16}+y^2-6y+\mathbf{9}=-24+\mathbf{16}+\mathbf{9} \\ \\ \boxed{(x-4)^2+(x-3)^2=1}](https://tex.z-dn.net/?f=x%5E2-8x%2B%5Cmathbf%7B%5Cleft%28%5Cfrac%7B8%7D%7B2%7D%5Cright%29%5E2%7D%2By%5E2-6y%2B%5Cmathbf%7B%5Cleft%28%5Cfrac%7B6%7D%7B2%7D%5Cright%29%5E2%7D%3D-24%2B%5Cmathbf%7B%5Cleft%28%5Cfrac%7B8%7D%7B2%7D%5Cright%29%5E2%7D%2B%5Cmathbf%7B%5Cleft%28%5Cfrac%7B6%7D%7B2%7D%5Cright%29%5E2%7D%20%5C%5C%20%5C%5C%20x%5E2-8x%2B%5Cmathbf%7B16%7D%2By%5E2-6y%2B%5Cmathbf%7B9%7D%3D-24%2B%5Cmathbf%7B16%7D%2B%5Cmathbf%7B9%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7B%28x-4%29%5E2%2B%28x-3%29%5E2%3D1%7D)
The center of this circle is:
![(h,k)=(4,3)](https://tex.z-dn.net/?f=%28h%2Ck%29%3D%284%2C3%29)
So the equation that fulfills the statement is:
![(x-4)^2+(y-3)^2=2^2](https://tex.z-dn.net/?f=%28x-4%29%5E2%2B%28y-3%29%5E2%3D2%5E2)
Finally, the right answer is c)
Answer:
16.9
Step-by-step explanation:
.......ur welcome..........
40% of 39.99=15.95
6% of 15.95= 0.95
15.95 × 0.95=16.9
About 2.0 feet space will be left for aisle.
Step-by-step explanation:
Width of airliner = 9.34 feet
Width on one seat = 1.46 feet
Seats to install = 5
Width of 5 seats = 5*1.46 = 7.3 feet
Space left for aisle = Width of airliner - width of 5 seats
![Space\ left\ for\ aisle=9.34-7.3\\Space\ left\ for\ aisle=2.04\ feet](https://tex.z-dn.net/?f=Space%5C%20left%5C%20for%5C%20aisle%3D9.34-7.3%5C%5CSpace%5C%20left%5C%20for%5C%20aisle%3D2.04%5C%20feet)
Rounding off to nearest 10th
Space left for aisle = 2.0 feet
About 2.0 feet space will be left for aisle.
Keywords: multiplication, subtraction
Learn more about multiplication at:
#LearnwithBrainly