If I 50% increase is followed by a 33 1\3 % decrease is it greater, less than, or the same as the original
1 answer:
Answer:
Greater than.
Step-by-step explanation:
Let the original value be x.
A 50% increase in x is given by
x + 50%x
=> x + 0.5x
=> 1.5x
Followed by a 33 % decrease in the value gives:
1.5x - 33 %(1.5x)
=> 1.5x - 0.33(1.5x)
=> 1.5x - 0.495x
=> 1.005x
Since 1.005x is greater than the original value, x, then:
A 50% increase followed by a 33 % decrease gives a value that is greater than the original.
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Answer:
- The two solutions are:
- The next and every step are below.
Explanation:
1. : Given (addition property / add - 3 to both sides)
2. : Given (commom factor - 2)
3.
To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.
Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.
4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:
5. Divide both sides by - 2 to get the next expression:
6. The last step is to extract squere root from both sides of the equality:
Because we're given two points on the line, we can apply the slope formula to find the answer:
-4 - 8 / 2 - (-1)
-12 / 3
-4
<h3>The slope of the line is -4.</h3>Answer:
C) x=2
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