9514 1404 393
Answer:
(a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
Replacement of -1/2(8x +2) by -4x -1 is use of the <em>distributive property</em>, eliminating choices B and D.
In step 3, addition of 1 to both sides of the equation is use of the <em>addition property of equality</em>, eliminating choice C. This leaves only choice A.
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<em>Additional comment</em>
This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.
In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.
In short, you can argue both choices A and C have correct justifications. The only reason to prefer choice A is that we usually think of adding positive numbers as <em>addition</em>, and adding negative numbers as <em>subtraction</em>.
Anything to the power of 0 is 1
So for the top, 2^0 = 1
For the bottom, 10^0 = 1
It is not 0, because anything that ends with 0/0 is <em>undetermined</em>, and will not result in an answer
hope this helps
Answer : YES!
Explanation : An OSHA inspection when was being conducted at Raul's workplace; He has full right to know about the results and can also ask/question his employer about the actions that they will be taking to fix if any issues are identified during the inspection.
As per the guidelines of OSHA which stands for The Occupational Safety and Health Act, employers are responsible for providing a safe and healthful workplace for their workers, also it gives full right to the employees to know what are the safety measures taken by their organization. OSHA is a federal law that was established in 1970 to ensure that America's workforce has a safe environment in which to work. The Occupational Safety and Health Administration (OSHA), the federal agency that enforces the OSH law was established by the law and was formed in 1971.
Their speed of separation will be equal to the sum of their speeds because they are in opposite directions.
Speed of separation = 40 + 50 = 90 miles per hour
Time = distance / speed
Time = 405 / 90
Time = 4.5 hours
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Answer:
Option B, 1/4 (x - 5) = 13
Step-by-step explanation:
An inequality has a less than, greater than, less than or equal to, and greater than or equal to. <u>But, there are no equal signs allowed in a inequality. That makes it an expression.</u>
Answer: Option B, 1/4 (x - 5) = 13