This would be scalene. Scalene means that all angles of a triangle are different. Isosceles triangles, however, occur when two angles are the same. Equilateral triangeles occur when all three of the angles are the same (the only possible case for this is 60 degrees for each angle)
The given range can help us to determine whether the graph of a quadratic function opens up or down.
If the range is [ 4, + ∞ ) it has a minimum point with coordinates ( x, 4 ). The vertex is the lowest point on the graph.
Answer: The graph opens up.
Answer:
71
Step-by-step explanation:I think I solve it a weird way but here it is.
70 times 5= 350
65+68+66+80= 279
350-279= 71
Check:
65+68+66+80+71= 350
350/5=70 which means 71 is the correct answer
Answer:
![\text{Unemployment rate}\approx 7.7\%](https://tex.z-dn.net/?f=%5Ctext%7BUnemployment%20rate%7D%5Capprox%207.7%5C%25)
![\text{Labor force participation rate}\approx 92.9\%](https://tex.z-dn.net/?f=%5Ctext%7BLabor%20force%20participation%20rate%7D%5Capprox%2092.9%5C%25)
Step-by-step explanation:
We have been given that the number of employed persons equals 180 million. The number of unemployed persons equals 15 million, and the number of persons over age 16 in the population equals 210 million. We are asked to find the unemployment rate and the labor force participation rate.
![\text{Unemployment rate}=\frac{\text{Number of unemployed person}}{\text{Labor force}}\times 100\%](https://tex.z-dn.net/?f=%5Ctext%7BUnemployment%20rate%7D%3D%5Cfrac%7B%5Ctext%7BNumber%20of%20unemployed%20person%7D%7D%7B%5Ctext%7BLabor%20force%7D%7D%5Ctimes%20100%5C%25)
We know that labor force is equal to employed population plus unemployed population.
![\text{Unemployment rate}=\frac{\text{15 million}}{\text{180 million + 15 million}}\times 100\%](https://tex.z-dn.net/?f=%5Ctext%7BUnemployment%20rate%7D%3D%5Cfrac%7B%5Ctext%7B15%20million%7D%7D%7B%5Ctext%7B180%20million%20%2B%2015%20million%7D%7D%5Ctimes%20100%5C%25)
![\text{Unemployment rate}=\frac{\text{15 million}}{\text{195 million}}\times 100\%](https://tex.z-dn.net/?f=%5Ctext%7BUnemployment%20rate%7D%3D%5Cfrac%7B%5Ctext%7B15%20million%7D%7D%7B%5Ctext%7B195%20million%7D%7D%5Ctimes%20100%5C%25)
![\text{Unemployment rate}=0.0769230769\times 100\%](https://tex.z-dn.net/?f=%5Ctext%7BUnemployment%20rate%7D%3D0.0769230769%5Ctimes%20100%5C%25)
![\text{Unemployment rate}=7.69230769\%](https://tex.z-dn.net/?f=%5Ctext%7BUnemployment%20rate%7D%3D7.69230769%5C%25)
![\text{Unemployment rate}\approx 7.7\%](https://tex.z-dn.net/?f=%5Ctext%7BUnemployment%20rate%7D%5Capprox%207.7%5C%25)
Therefore, the unemployment rate is approximately 7.7%.
![\text{Labor force participation rate}=\frac{\text{Labor force}}{\text{Total eligible population}}\times 100\%](https://tex.z-dn.net/?f=%5Ctext%7BLabor%20force%20participation%20rate%7D%3D%5Cfrac%7B%5Ctext%7BLabor%20force%7D%7D%7B%5Ctext%7BTotal%20eligible%20population%7D%7D%5Ctimes%20100%5C%25)
![\text{Labor force participation rate}=\frac{\text{195 million}}{\text{210 million}}\times 100\%](https://tex.z-dn.net/?f=%5Ctext%7BLabor%20force%20participation%20rate%7D%3D%5Cfrac%7B%5Ctext%7B195%20million%7D%7D%7B%5Ctext%7B210%20million%7D%7D%5Ctimes%20100%5C%25)
![\text{Labor force participation rate}=\frac{195}{210}\times 100\%](https://tex.z-dn.net/?f=%5Ctext%7BLabor%20force%20participation%20rate%7D%3D%5Cfrac%7B195%7D%7B210%7D%5Ctimes%20100%5C%25)
![\text{Labor force participation rate}=0.9285714285714286\times 100\%](https://tex.z-dn.net/?f=%5Ctext%7BLabor%20force%20participation%20rate%7D%3D0.9285714285714286%5Ctimes%20100%5C%25)
![\text{Labor force participation rate}=92.85714285714286\%](https://tex.z-dn.net/?f=%5Ctext%7BLabor%20force%20participation%20rate%7D%3D92.85714285714286%5C%25)
![\text{Labor force participation rate}\approx 92.9\%](https://tex.z-dn.net/?f=%5Ctext%7BLabor%20force%20participation%20rate%7D%5Capprox%2092.9%5C%25)
Therefore, the labor force participation rate is approximately 92.9%.
Answer:
300 SUVs were sold.
210 Passenger cars were sold.
Step-by-step explanation:
Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.
The total amount of vehicles sold was 510, so:
![S+P=510](https://tex.z-dn.net/?f=S%2BP%3D510)
90 more SUVs were sold than passenger cars. In other words:
![S=90+P](https://tex.z-dn.net/?f=S%3D90%2BP)
We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:
![90+P+P=510](https://tex.z-dn.net/?f=90%2BP%2BP%3D510)
Combine like terms:
![2P+90=510](https://tex.z-dn.net/?f=2P%2B90%3D510)
Subtract 90 from both sides:
![2P=420](https://tex.z-dn.net/?f=2P%3D420)
Divide both sides by 2:
![P=210](https://tex.z-dn.net/?f=P%3D210)
So, the 210 passenger cars were sold.
This means that 210+90=300 SUVs were sold.
And we're done!