0,1,2 is the correct answer
90 cars out of 450
90 / 450 = 1/5
I guess the number of floors is 5
Answer:
Let x = the number
A negative number is 42 less than its square ⇒
x = x2 - 42
x2 - x - 42 = 0
(x - 7)(x + 6) = 0
x = 7 or -6
But since it is given that x is negative, the final answer is x = -6.
Answer:
![4b + 2m = 2(2b + m)](https://tex.z-dn.net/?f=4b%20%2B%202m%20%3D%202%282b%20%2B%20m%29)
Step-by-step explanation:
Given
![4b + 2m](https://tex.z-dn.net/?f=4b%20%2B%202m)
Required
Write an equivalent expression
To do this, we simply write
as a product of two factors.
Express 4b as 2 * 2b
![4b + 2m = 2 * 2b + 2m](https://tex.z-dn.net/?f=4b%20%2B%202m%20%3D%202%20%2A%202b%20%2B%202m)
Express 2m as 2 * m
![4b + 2m = 2 * 2b + 2 * m](https://tex.z-dn.net/?f=4b%20%2B%202m%20%3D%202%20%2A%202b%20%2B%202%20%2A%20m)
Factor 2 out of the expression:
![4b + 2m = 2 *(2b + m)](https://tex.z-dn.net/?f=4b%20%2B%202m%20%3D%202%20%2A%282b%20%2B%20m%29)
![4b + 2m = 2(2b + m)](https://tex.z-dn.net/?f=4b%20%2B%202m%20%3D%202%282b%20%2B%20m%29)
Hence:
An equivalent expression is: ![2(2b + m)](https://tex.z-dn.net/?f=2%282b%20%2B%20m%29)
Question 1
You can see that each term is obtained from the previous one by subtracting 8. Starting from 30, we subtract 8 to get 22. Then, we subtract 8 to get 14, and we subtract 8 to get 6.
So, the next three terms will be given by subtracting 8 again and again:
![6-8=-2\\-2-8=-10\\-10-8=-18](https://tex.z-dn.net/?f=6-8%3D-2%5C%5C-2-8%3D-10%5C%5C-10-8%3D-18)
Correct answer: D
Question 2
The sequence starts with 4, and so option is surely wrong. Every next term is given by doubling the previous one: starting with 4, we double it to get 8; we double it it get 16, and finally we double it to get 32.
Correct answer: A
Question 3
In order to find the first four terms of the sequence, we have to plug the values
in the equation: we have
![\begin{array}{c|c}n&3n+5\\1&8\\2&11\\3&14\\4&17\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7Dn%263n%2B5%5C%5C1%268%5C%5C2%2611%5C%5C3%2614%5C%5C4%2617%5Cend%7Barray%7D)
Correct answer: B