Select the GCF of these numbers. 25 · 5· 11 and 23· 52 · 7
2 answers:
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Answer:
The GDP gap is 9 % when there is 4.5 % unemployment.
Step-by-step explanation:
The statement shows a reverse relationship, where an increase in unemployment is following by decrease in potential GDP and can be translated into the following rate:
The GDP gap at a given increase in unemployment can be estimated by the following expression:
Where:
- GDP gap-unemployment increase rate, dimensionless.
- Increase in unemployment rate, measured in percentage.
- GDP gap, measured in percentage.
If and
, the GDP gap is:
The GDP gap is 9 % when there is 4.5 % unemployment.
So firstly, what two terms have a product of 8x^2 and a sum of 9x? That would be x and 8x. Replace 9x with x + 8x:
Next, factor x^2 + x and 8x + 8 separately. Make sure that they have the same quantity on the inside:
Now you can rewrite the equation as
Now using zero product property, solve for x:
<u>In short, the solutions are {-1,-8}, or C.</u>