Last one: Use employee identification numbers to randomly select 200 employees.
It's the most random.
Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:
8x-10 = x^2+12x+30
Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.
If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
Answer:
The Han dynasty last was, 215 years
Step-by-step explanation:
Given statement: The Han dynasty lasted from 206 B.C. to 9 A.D.
To find how many years did the dynasty last.
B.C. represents Before Christ
A.D. represents After Death
To find the difference between two dates,
- When the endings are the same you subtract
- When they are different you add
You can see that the endings in the given 206 B.C. and 9 A.D. are B.C. and A.D. are different.
Just add these 206 and 9 we get;
years
Therefore, 215 years did the Han dynasty last.
Answer:
d) 1
Step-by-step explanation:
3a = –2b – 7
We have the point (a, -5) so b = -5
Substituting in
3a = -2(-5) -7
3a = 10-7
3a = 3
Divide each side by 3
3a/3 = 3/3
a =1
