Let the first integer be
. So, the next even number is 
Let's translate the formula: the square of the second is
, twice the first is
. So, the equation is

Expand the square to get

The solutions to this equations are

So, the possible consecutive even numbers are

Answer: 48
Step-by-step explanation:
Moshde charges 48 dollars for haircut + style
She loses 1100 dollars over expenses.
If she wants to get a revenue of 1168 dollars:
$1168 + $1100 = $2268
She has to make $2268 dollars
2268/48 = 47.25
Therefore, 47.25 haircuts are needed.
Of course, this is silly and ridiculous. How can you give fractions of a haircut, therefore, we round UP for 48 haircuts at minimum.
I hope this helps :)
BB76
The answer is d. angles 8 and 16
Number 1 The population of bacteria triples every day.
Answer:
![$\[x^2 + 22x + 121\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20121%5C%5D%24)
Step-by-step explanation:
Given
![$\[x^2 + 22x + \underline{~~~~}.\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20%5Cunderline%7B~~~~%7D.%5C%5D%24)
Required
Fill in the gap
Represent the blank with k
![$\[x^2 + 22x + k\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20k%5C%5D%24)
Solving for k...
To do this, we start by getting the coefficient of x
Coefficient of x = 22
<em />
Divide the coefficient by 2


Take the square of this result, to give k


Substitute 121 for k
![$\[x^2 + 22x + 121\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20121%5C%5D%24)
The expression can be factorized as follows;




<em>Hence, the quadratic expression is </em>
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