Students : A B C D E F
3 of them (A, B, & C) must be seated together
options::
A B C D E F ..... D E F A B C ..... D A B C E F ..... D E A B C F
A B C D F E ..... D F E A B C ..... D A B C F E ..... D F A B C E
A B C E F D ..... E F D A B C ..... E A B C F D ..... E F A B C D
A B C E D F ..... E D F A B C ..... E A B C D F ..... E D A B C F
A B C F E D ..... F E D A B C ..... F A B C E D ..... F E A B C D
A B C F D E ..... F D E A B C ..... F A B C D E ..... F D A B C E
24 options
-- point (1, -2)
-- point (10, 25)
Answer:
- m + m/4 + 3m/2 > 22
- m > 8 . . . . m restricted to multiples of 4, perhaps
Step-by-step explanation:
Let m represent the number of articles Mustafa has written. Then the total number of articles written must satisfy the inequality ...
m +m/4 +3m/2 > 22
This has solution ...
(11/4)m > 22
m > (4/11)22
m > 8 . . . . . . . . the solution to the inequality
If all the numbers are integers, and the ratios are exact, then we must have m be a multiple of 4 (that is, 4 times the number of articles Heloise wrote).
The solution set will be ...
m ∈ {12, 16, 20, 24, ...} (multiples of 4 greater than 8)
<span>Use scientific notation to find the product of 20.5 × 10 7 and 0.000036
the product of these 2 is 7380</span>
Given:
The statement is "Five times the difference of the cube of y and the square of x".
To find:
The algebraic expression for the given statement.
Solution:
We know that,
Cube = Power 3
Square = Power 2
Difference = Minus (-)
Times = Multiplication (×)
Now,
Cube of y = 
Square of x = 
Difference of the cube of y and the square of x = 
Five times the difference of the cube of y and the square of x is:
Required expression = 
Therefore, the correct option is C. The required algebraic expression for the given statement is .
