So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: 
Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: 
Now you can rewrite this as 
, however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is 
. Applying that here, we have 
. x^4 + 5x^2 - 36 is completely factored.
Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: 
Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: 
Now you can rewrite the equation as 
. 2x^2 + 9x - 5 is completely factored.
<h3><u>Putting it all together, your factored expression is
</u></h3>
Answer:
27 and 40
Step-by-step explanation:
Answer:
the answer is 8. 75.
Step-by-step explanation:
25×35% = 8.75
To find a percent, you use this simple formula:
5000/62000 = x/100
In this case, x is going to be your percent of commission.
So, to find this, you first divide 5000 by 62000, which is about equal to 0.08.
Now your equation looks like this:
0.08 = x/100
Next, you multiply both sides by 100 to reverse the operation. Now, your equation will look like this:
8 = x
So, the answer is 8%.
Answer:
StartFraction 9 Over 64 EndFraction
Step-by-step explanation:
He must add the square of half the x coefficient. That coefficient is 3/4, so half of it is 3/8 and the square of that is ...
(3/8)^2 = 9/64
Brian mus add 9/64 to boths sides of the equation.
