v(-2) = 11, v(0) = 7, v(5) = -3.
hope this helps! :)
![v(x) = 12 - 2x - 5\\v(-2) = 12 - 2(-2) - 5\\v(-2) = 12 + 4 - 5\\v(-2) = 11\\-----------------------------\\v(0) = 12 - 2(0) - 5\\v(0) = 12 - 0 -5\\v(0) = 7\\-----------------------------\\v(5) = 12 - 2(5) - 5\\v(5) = 12 - 10 - 5\\v(5) = -3](https://tex.z-dn.net/?f=v%28x%29%20%3D%2012%20-%202x%20-%205%5C%5Cv%28-2%29%20%3D%2012%20-%202%28-2%29%20-%205%5C%5Cv%28-2%29%20%3D%2012%20%2B%204%20-%205%5C%5Cv%28-2%29%20%3D%2011%5C%5C-----------------------------%5C%5Cv%280%29%20%3D%2012%20-%202%280%29%20-%205%5C%5Cv%280%29%20%3D%2012%20-%200%20-5%5C%5Cv%280%29%20%3D%207%5C%5C-----------------------------%5C%5Cv%285%29%20%3D%2012%20-%202%285%29%20-%205%5C%5Cv%285%29%20%3D%2012%20-%2010%20-%205%5C%5Cv%285%29%20%3D%20-3)
The answer is D. y=500+0.25x
let's say y represents his total payment each week and x represents his total sales
x=$500
since he always gets 25% bonus of his total sales,
25%.500=0.25x
so, his total payment equals to
y = 500+0.25x
Answer:
h = 13cm and b= 54cm.
Step-by-step explanation:
We have that the area
and the base is two centimeters longer than four times the height, that is
![b = 2+4h](https://tex.z-dn.net/?f=b%20%3D%202%2B4h)
where b is the base and h the height. Now, the area is
![A=\frac{b*h}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bb%2Ah%7D%7B2%7D)
![351=\frac{(2+4h)h}{2}](https://tex.z-dn.net/?f=351%3D%5Cfrac%7B%282%2B4h%29h%7D%7B2%7D)
![702=2h+4h^2](https://tex.z-dn.net/?f=702%3D2h%2B4h%5E2)
.
Now, we are going to use the general formula to solve quadratic ecuations:
![h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
where a=4, b= 2 and c= -702.
![h=\frac{-2\pm\sqrt{2^2-4(4)(-702)}}{2*4}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-2%5Cpm%5Csqrt%7B2%5E2-4%284%29%28-702%29%7D%7D%7B2%2A4%7D)
![h=\frac{-2\pm\sqrt{4+11232}}{8}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-2%5Cpm%5Csqrt%7B4%2B11232%7D%7D%7B8%7D)
![h=\frac{-2\pm106}{8}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-2%5Cpm106%7D%7B8%7D)
or ![h=\frac{-2-106}{8}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-2-106%7D%7B8%7D)
As we are searching for the lenght, we choose the positive result:
![h=\frac{-2+106}{8}=13cm](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-2%2B106%7D%7B8%7D%3D13cm)
.
Answer:
High velocity train will take 36.73 hours to travel from Paris and Naples.
Explanation:
Average speed = Distance traveled / Time taken
Time taken = Distance traveled / Average speed.
Distance traveled = 7346 km
Average speed = 200 km/hr.
Time taken = 7346 / 200 = 36.73 hour.
So, high velocity train will take 36.73 hours to travel from Paris and Naples.