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Answer: 5 games
Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.
Answer:
4.5 Cubic Feet
Step-by-step explanation:
1. You want to find the volume of the box. (Length x width x height)
2.5 x 2 x 1.5 = 7.5
2. The present has a volume of 3 cubic feet, so you would subtract that from the volume of the box.
7.5 - 3 = 4.5
3. The volume of the empty space in the box is 4.5 cubic feet.
Hope this helped! :)
Answer:
Step-by-step explanation:
The question is unreadable, however the real polynomial is:
The polynomial fraction is:
And the decomposition is:
The solution is as follows:
Substitute the expression for P
Expand the numerator of the polynomial
Take LCM
Cancel out both denominators
Represent f(x) as A and g(x) as B
Open bracket
By comparison:
---- (1)
---- (2)
Make B the subject in (1)
Substitute in (2)
Multiply through by 2
Collect Like Terms
Recall that:
A = -1 and B = 6
---- (1)
---- (2)
So:
And the decomposition is:
