Answer: a. 30x^2 − 26x − 12
First write the equation in a form to better help visualize.
(5x - 6)(6x + 2)
Then use distributive property on the second binomial from the first binomial. <em>You multiply 5x by 6x and 2, then multiply -6 by 6x and 2.</em>
5x * 6x = 30x^2 (The answer is raised to the power of 2 because you're adding the invisible exponents, aka exponents of 1)
Then multiply 5x by 2
5x * 2 = 10x
Then you repeat the process but with -6 instead of 5x.
-6 * 6x = -36x (It is not raised to a power of 2 because -6 does not have a variable to include the invisible exponent)
-6 * 2 = -12
Now take all of your answers and put them into 1 equation by the order you did them.
30x^2 + 10x - 36x -12
But wait! The answer can still be simplified. All you have to do is combine like terms. <em>However 30x^2 can't be combined with 10x because 10x isn't raised to the second power, terms can only be combined if they have the same variable and exponent.</em>
30x^2 + (10x - 36x) - 12
30x^2 - 26x - 12
Answer:
The correct answer is A. $385.
Step-by-step explanation:
Since Corey, Billy, and Shea own a house repair and update business, and the number of hours that each person spent painting and doing repair work on the same house is listed below.
• Corey: 4.25 hours
• Billy: 7.75 hours
• Shea: 10.5 hours
And since they earned a total of $ 1,100 for the job and put 25% of the money earned in an account for future expenses, to determine how much money Shea received if they divided the money proportionally based on the number of hours each worked is owed perform the following calculation:
1100 x 0.75 = 825
10.5 + 7.75 + 4.25 = 22.5
22.5 = 100
10.5 = X
10.5 x 100 / 22.5 = X
1050 / 22.5 = X
46.666 = X
825 x 0.4666 = X
384.99 = X
Therefore, Shea received $385.
Answer:
129.9 cm^2
Step-by-step explanation:
You can use the Law of Sines to find the hypotenuse. Because it's an equilateral triangle, it's the same value for the base. If you plug in the proper angles, being 90 degrees and 60 degrees because it's an equilateral triangle, the value of the base should be 17.32050808, or 17.32 if we're rounding. If you use the usual formula for finding the area of a triangle, b * h / 2 to get an answer of 129.9 cm^2. Hope this helps and isn't too confusing! There's a bunch of lessons on Khan Academy if you need more help!
This is a bit advanced for middle school, so we might be missing some information.
Answer:
Y = 1/2
Step-by-step explanation:
6/36 = y/3
Y = 1/2
Just multiply 3 by both sides
Answer:
6 months
Step-by-step explanation:
46 ÷ 8 = 5.75
therefore you need 5 months and 1 extra month to cover the 0.75
