Answer: x>-4
Step-by-step explanation:
1, when you factor you get 6x(x^2-1)+4(x^2-1)=
By using scientific notation we calculated (2.3
10⁵)(1.5
10⁴) we got 345
10⁷.
Given that,
(2.3
10⁵)(1.5
10⁴)
By using scientific notation
The scientific notation allows us to express extremely large or extremely small numbers by multiplying them by single-digit integers and by 10 raised to the power of the corresponding exponent. The exponent is either positive or negative depending on how big or little the number is.
Now, we calculate
(2.3
10⁵)=2.5
100000=230000
(1.5
10⁴)=1.5
10000=15000
Now,
=230000
15000
=3450000000
=345
10⁷
Therefore, By using scientific notation we calculated (2.3
10⁵)(1.5
10⁴) we got 345
10⁷.
To learn more about scientific notation visit: brainly.com/question/18073768
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Answer: the system of equations that represents this situation are
12x + 6y = 180
x = 2y
Step-by-step explanation:
Let x represent the number of hardcover books that were sold in a day.
Let y represent the number of paperback books that were sold in a day.
The discount bookstore sells hardcover books for $12 and paperback books for $6. The total sales that day were $180. It means that
12x + 6y = 180
The number of hardcover books sold that day was twice the number of paperback books. It means that
x = 2y
After every drop,the ball bounces to half it's previous height. With that understood.
1st drop -The ball drops 10m
1st bounce - 5m up
2nd drop - 5m down
2nd bounce - 2.5m up
3rd drop - 2.5m down
3rd bounce - 1.25m up
4th drop - 1.25m down
4th bounce - 0.625m up
5th/last drop - 0.625m down
To find the total vertical distance, you add them all.
10+5+5+2.5+2.5+1.25+1.25+0.625+0.625
=29.25m travelled in all.