What is the step by step to get this answer I got
1 answer:
Answer:
x = -4, -2
Step-by-step explanation:
Given equation is,
x² + 6x + 8 = 0
Let the equation to be graphed is,
y = x² + 6x + 8
y = x² + 2(3x) + 9 - 1
y = x² + 2(3x) + 3² - 1
y = (x + 3)² - 1
Table for the Input-output values
x -6 -4 -3 -2 -1 0
y 8 0 -1 0 3 8
Now we can plot these points on the graph as attached.
Since, this graph is intersecting x-axis at x = -4, -2
Therefore, solutions of the given equation will be x = -4, -2
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Therefore, the only statement that is equivalent to <em>"the </em><em>price decreased</em><em> by </em><em>"</em> is:
<u>F. The price is now </u><u>66, 2/3% </u><u>of what it was before</u>
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Given that the original price of something decreased by 1/3, it means:
the original price is reduced by one-third.
- One-third is not equal to half of the price.
- 1/3 is less than 1/2.
- 1/3 of the original price would be
33.3% less of the original price.
- This means that the new price would be: <em><u>100 - 33 = 66% of the </u></em><em><u>original price.</u></em> This shows a reduction in price. The price would drop.
- 1/3 is more than a quarter (1/4).
<em>Any option showing or suggesting an increase is definitely the wrong answer.</em>
Therefore, the only statement that is equivalent to <em>"the </em><em>price decreased</em><em> by </em><em>" </em>are:
<u><em>F. The price is now </em></u><u><em>66, 2/3% </em></u><u><em>of what it was before</em></u>
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