A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a total of
1 answer:
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<h3>Answer: x(x+1)(5x+9) </h3>
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Work Shown:
5x^3 + 14x^2 + 9x
x( 5x^2 + 14x + 9 )
To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.
A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula
Then use those two solutions to find the factorization
x = -1 or x = -9/5
x+1 = 0 or 5x = -9
x+1 = 0 or 5x+9 = 0
(x+1)(5x+9) = 0
So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)
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Overall,
5x^3 + 14x^2 + 9x
factors to
x(x+1)(5x+9)
SOLUTION
Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.
Step 1: Write the representation for the two rentals
Let m represents movies
Let v represent video games
Step 2: Write the statements in form of a mathematical equation
Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v
Rental cost for each movies is $3.25
Rental cost for each video games $5.50