For this case we have the following expression:
36-12x + *
The value of * is given by:
36-12x + x ^ 2
Thus, we can rewrite the expression as a perfect square in the following way:
36-12x + x ^ 2 = (x-6) (x-6)
36-12x + x ^ 2 = (x-6) ^ 2
Answer:
The value of * is:
* = x ^ 2
Answer:
$164 refund
Step-by-step explanation:
2900 x .24= $686 withheld
2900 x .18= $522 actually owed
686-522= $164
$24 for each student to go on the bus + $10 for lunch . $34 for each student .
Answer:

Step-by-step explanation:
Given

Required
Get equivalent expression using completing the square
<em>Follow these steps:</em>
- <em>Take the coefficient of y; That is -12</em>
- <em>Divide it by 2; That is (-12/2)</em>
- <em>Square it: (-12/2)^2</em>
<em />
Add to both sides of the equation




Expand the right-hand side

Factorize:



<h3>
<u>The value of the number is equal to 11.</u></h3>
2x - 9 = 13
<em><u>Add 9 to both sides.</u></em>
2x = 22
<em><u>Divide both sides by 2.</u></em>
x = 11