19. Find the least common multiple of x² + 4x +3 and x² + 7x + 12.

Mathematics

1 answer:

Tems11 [23]2 years ago

3 0

Answer:

C. (x +1)(x +3)(x +4)

Step-by-step explanation:

The least common multiple is the product of the unique factors of each of the expressions. To find it, we need to factor each expression and identify the unique factors.

<h3>factorization</h3>

x² +4x +3 = (x +3)(x +1)

x² +7x +12 = (x +3)(x +4)

The unique factors are (x +1), (x +3), (x +4). The LCM is their product:

LCM = (x +1)(x +3)(x +4)

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<em>Additional comment</em>

The positive sign of the constant (+3, +12) in each case tells you that the constants in the binomial factors will have the same sign. The positive sign of the linear term (+4x, +7x) in each case tells you the binomial factors will have constants with a positive sign. So, all of the answer choices that have negative constants can be eliminated.

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Members of a baseball team raised $1199.50 to go to a tournament. They rented a bus for $830.50 and budgeted $30.75 per player f

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Answer:

The team can bring 12 players to the tournament.

Step-by-step explanation:

With the information provided, you can say that cost of going to a tournament is equal to the cost of renting the bus plus the result of multiplying the cost per player for meals for the number of players, which is:

c=830.50+30.75x, where:

c is the cost of going to a tournament

x is the number of players

Now, you can replace c with $1199.50 that is the total amount they raised and solve for x:

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1199.50-830.50=30.75x

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According to this, the answer is that the team can bring 12 players to the tournament.

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3 years ago