Answer:
y=3
Step-by-step explanation:
-5-7y=-20y+34 you add the 5 over and add 20y to the other side to get this:
13y=39 then you divide that by 13 to get the anser of 3.
Answer with Step-by-step explanation:
We are given that
![f(x,y)=5 sinxy](https://tex.z-dn.net/?f=f%28x%2Cy%29%3D5%20sinxy)
Point=(x,y)=(0,2)
We have to find the maximum rate of change of f at given point.
![f_x(x,y)=5ycos(xy)](https://tex.z-dn.net/?f=f_x%28x%2Cy%29%3D5ycos%28xy%29)
![f_x(0,2)=5(2)cos0=10](https://tex.z-dn.net/?f=f_x%280%2C2%29%3D5%282%29cos0%3D10)
![f_y(x,y)=5xcosxy](https://tex.z-dn.net/?f=f_y%28x%2Cy%29%3D5xcosxy)
![f_y(0,2)=5(0)cos0=0](https://tex.z-dn.net/?f=f_y%280%2C2%29%3D5%280%29cos0%3D0)
![\Delta f(0,2)=f_x(0,2)+f_y(0,2)=10i+0j](https://tex.z-dn.net/?f=%5CDelta%20f%280%2C2%29%3Df_x%280%2C2%29%2Bf_y%280%2C2%29%3D10i%2B0j)
Maximum rate of change of f at point (0,2)=![\mid \Delta f(0,2)\mid=\sqrt{x^2+y^2}](https://tex.z-dn.net/?f=%5Cmid%20%5CDelta%20f%280%2C2%29%5Cmid%3D%5Csqrt%7Bx%5E2%2By%5E2%7D)
Where x=Coefficient of i
y=Coefficient of j
By using the formula
Maximum rate of change of f at point (0,2)=![\sqrt{(10)^2+0}=10](https://tex.z-dn.net/?f=%5Csqrt%7B%2810%29%5E2%2B0%7D%3D10)
Direction of maximum rate of change of f=![\Delta\har{f}=\frac{\Delta f(0,2)}{\mid\Delta f(0,2)\mid}=\frac{10i}{10}=i](https://tex.z-dn.net/?f=%5CDelta%5Char%7Bf%7D%3D%5Cfrac%7B%5CDelta%20f%280%2C2%29%7D%7B%5Cmid%5CDelta%20f%280%2C2%29%5Cmid%7D%3D%5Cfrac%7B10i%7D%7B10%7D%3Di)
Answer:
Step-by-step explanation:
The new brakes decrease the probability that a vehicle will collide with another vehicle. Because the anti-lock brakes cut the time it takes a car to stop by 50%, then total collision will be reduced.
But also give drivers an incentive to drive faster, which could potentially increase the number of car accidents.
Because drivers know that the new brakes cut the time it takes to stop and if they drive faster than before, maybe the new brakes won´t be able to reduce accidents and maybe collisions will increase.
Answer:
2.
Step-by-step explanation:
To find the answer, we take Gordon's result, 3, and subtract 2, which is what he added to get 3. This gives us a result of 1. We then multiply by 2, as 1 was the quotient of dividing the original number by 2. This leaves us with an answer of 2.
Let, the numbers = x,y
x/y = 3/5
total ratio units = 3+5 = 8
value of 1 unit = 135/8 = 16.875
So, numbers would be 3(16.875) & 5(16.875) = 50.625 & 84.375
so, your answer is 50.625 & 84.375