B is the answer i had this on my test the other day
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>
In the given question, there are several data of immense importance. based on these data's the answer to the question can be easily deduced. it is already given that the total utility bill for the month of April in Millers house is $132 and 42% of the bill was paid for gas. remaining amount is paid as electricity charges.
Now
Amount of money paid for gas = 132 * (42/100) dollars
= 5544/100 dollars
= 55.44 dollars
Then
The amount of money paid for electricity = (132 - 55.44) dollars
= 76.56 dollars
So the Millers paid 55.44 dollars for gas and 76.56 dollars for electricity in the month of April.
Answer:
b. $2.50
Step-by-step explanation:
Let us take a step by step approach by simplifying each sentence:
Sentence 1: Hector works 12 hours per week at a part-time hours per week at a part-time job
Number of hours worked per week = 12hours
Sentence 2: His original pay rate was $8.00 per hour. but he recently received a raise of x dollars per hour
Pay per hour is 8hr, a raise of x gives 8 + x
Sentence 3: New total wage = 12(8+x)
Sentence 4: Amount earned last week = $126
New total wage = Amount earned last week
12(8 + x ) = 126
96 + 12x = 126
12x = 126 - 96
12x = 30
x = $2.50
Amount of raise is $2.50
