Answer:
y= -2/5+5
Step-by-step explanation:
A line must always be written in the form y= and the line given is not. Dividing both sides of the equation by 2 you get y=5/2x-4. This is the equation of the line given.
Perpendicular line have gradients that, when they are multiplied, they are equal to -1
The line given multiplied by the gradient of the line(the one required to find)= - 1. That is 5/2×line= -1.
Dividing both sides of the equation by 5/2 you'll get - 2/5. This is the gradient of the line required.
Using the general formula y=mx+c substitute the gradient into the equation. You'll get something like this y= -2/5x+c.
Substitute the given point into the equation. You'll get something like this 3= -2/5(5)+c.
Calculate the value of c. You'll get c=5.
Substitute the value of c into the original equation. You'll get something like this y= -2/5+5
This is the equation: y= -2/5+5
Alternative form =6.28319
Answer:
30 salads.
Step-by-step explanation:
If you can get a dollar coupon for 3 salads
You can just multiply it by 10 to get ten dollars for 30 salads
True
A linear recurrence relation involving a sequence of numbers
is one of the form
![\displaystyle\sum_{k=0}^nc_{n-k}a_{n-k}=c_na_n+c_{n-1}a_{n-1}+\cdots+c_2a_2+c_1a_1=c](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bk%3D0%7D%5Enc_%7Bn-k%7Da_%7Bn-k%7D%3Dc_na_n%2Bc_%7Bn-1%7Da_%7Bn-1%7D%2B%5Ccdots%2Bc_2a_2%2Bc_1a_1%3Dc)
where
and
are any fixed numbers.
The given recurrence can be rearranged as
![a_n=a_{n-1}+2\implies 1\cdot a_n+(-1)\cdot a_{n-1}=2](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D%2B2%5Cimplies%201%5Ccdot%20a_n%2B%28-1%29%5Ccdot%20a_%7Bn-1%7D%3D2)
A nonlinear recurrence would have a more "exotic" form that cannot be written in the form above. Some example:
![a_n+\dfrac1{a_{n-1}}=1](https://tex.z-dn.net/?f=a_n%2B%5Cdfrac1%7Ba_%7Bn-1%7D%7D%3D1)
![a_na_{n-1}=\pi](https://tex.z-dn.net/?f=a_na_%7Bn-1%7D%3D%5Cpi)
![{a_n}^2+\sqrt{a_{n-1}}-\left(\dfrac{a_{n-2}}{\sqrt{a_n}}\right)^{a_{n-3}}=0](https://tex.z-dn.net/?f=%7Ba_n%7D%5E2%2B%5Csqrt%7Ba_%7Bn-1%7D%7D-%5Cleft%28%5Cdfrac%7Ba_%7Bn-2%7D%7D%7B%5Csqrt%7Ba_n%7D%7D%5Cright%29%5E%7Ba_%7Bn-3%7D%7D%3D0)
Step 1. Subtract 4m from both sides
d - 4m = 7n
Step 2. Divide both sides by 7
d - 4m/7 = n
Step 3. Switch sides
n = d - 4m/7