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djverab [1.8K]
3 years ago
8

There were 60 seventh grade students who signed up for soccer tryouts last year. This year, 48 seventh graders signed up for try

outs. What is the percent decrease in the number of students from last year to this year?
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer:

20%

Step-by-step explanation:

(60 - 48) / 60 = 0.2    (20%)

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The denominator( s ) we are given are x^2 + 4x + 4, and . The first thing we want to do is factor the expressions, to make this easier -

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The other expression is, on the other hand, not a perfect square so we must break this expression into groups and attempt factorization -

x^2 + 5x + 6,\\\left(x^2+2x\right)+\left(3x+6\right),\\x\left(x+2\right)+3\left(x+2\right),\\\left(x+2\right)\left(x+3\right)\\\\Factored Expression = \left(x+2\right)\left(x+3\right)

Combining ( x + 2 )^2 and ( x + 2 )( x + 3 ), the expression that contains factors of each is ( x + 2 )^2 * ( x + 3 ), or in other words the LCM.

<u><em>Solution = </em></u>\left(x+2\right)^2\left(x+3\right)<u><em /></u>

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hope this help
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