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storchak [24]
3 years ago
6

A baseball team played 154 regular season games. The ratio of the number of games they won to the number of games they lost was

5/2. How many games did they win?
Mathematics
1 answer:
ELEN [110]3 years ago
7 0

Answer:

Number of games won = 110

Step-by-step explanation:

Given:

Total games played = 154

The ratio of number of games won to number of games lost = \frac{5}{2}

Solution:

Let the number of games won be = 5x

Thus, number of games lost = 2x

The total games played can be given as = 5x+2x=7x

Thus, we have:

7x=154

Dividing both sides by 7.

\frac{7x}{7}=\frac{154}{7}

∴ x=22

So, number of games won  = 5\times 22 = 110

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<h3>Answer: Choice A</h3>

Domain = (a,b]

Range = [mc + n,md + n)

==============================================

Explanation:

The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).

Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.

-------------------

The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...

g(x) = m*f(x) + n

g(x) = m*c + n

All we're doing is replacing f with c.

So that means mc+n is the starting point of the range for g(x).

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