Answer:
A because I have had this question before
Step-by-step explanation:
trust
Answer:
Step-by-step explanation:
This is permutation question
<u>The formula for it: </u>
- N = b!/(b-s)!, where N- number of ways, b- number of books, s- number of slots
<u>Finding the answer:</u>
- N = 7!/(7-5)! = 7!/2! = 7*6*5*4*3 = 2520
Answer:
25 divided by 5 = 5, so the unit rate is 5 circuit boards every minute.
Answer:
4/3
Step-by-step explanation:
Answer:
(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product
(b) ![y =2x +5](https://tex.z-dn.net/?f=y%20%20%3D2x%20%2B5)
Step-by-step explanation:
Given
The attached table
Solving (a): The rule of the table in words
First, we calculate the slope (m)
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Using:
![(x_1,y_1) = (2,9)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%20%282%2C9%29)
![(x_1,y_1) = (10,25)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%20%2810%2C25%29)
So, we have:
![m = \frac{25 - 9}{10 - 2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B25%20-%209%7D%7B10%20-%202%7D)
![m = \frac{16}{8}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B16%7D%7B8%7D)
![m=2](https://tex.z-dn.net/?f=m%3D2)
The equation is calculated using:
![y - y_1 =m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3Dm%28x%20-%20x_1%29)
Using:
![(x_1,y_1) = (6,17)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%286%2C17%29)
We have:
![y - 17 =2(x - 6)](https://tex.z-dn.net/?f=y%20-%2017%20%3D2%28x%20-%206%29)
![y - 17 =2x - 12](https://tex.z-dn.net/?f=y%20-%2017%20%3D2x%20-%2012)
Make y the subject
![y =2x - 12+17](https://tex.z-dn.net/?f=y%20%20%3D2x%20-%2012%2B17)
![y =2x +5](https://tex.z-dn.net/?f=y%20%20%3D2x%20%2B5)
Hence, the rule is:
Multiply the input (x) by 2 and add 5 to the result of the product
(b): The rule, in algebra
As solved in (a), the rule is:
![y =2x +5](https://tex.z-dn.net/?f=y%20%20%3D2x%20%2B5)