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STatiana [176]
3 years ago
6

What is the simplified form of x plus 1 over x squared plus x minus 6 divided by x squared plus 5x plus 4 over x plus 3 ?

Mathematics
2 answers:
kirill115 [55]3 years ago
6 0
X² +  x - 6 = x² + 3 x - 2 x - 6 = x ( x + 3 ) - 2 ( x + 3 ) = ( x + 3 ) ( x - 2 )
x² + 5 x + 4 = x² + x + 4 x + 4 = x ( x + 1 ) + 4  ( x + 1 ) = ( x + 1 ) ( x + 4 )
( x + 1 )  / ( x² + x - 6 )   :    ( x² + 5 x + 4 ) / ( x + 3 ) =
= ( x + 1 ) / ( x² + x + 6 )  ·  ( x + 3 ) / ( x² + 5 x + 4 ) =
= ( x + 1 )   / ( x + 3 ) ( x - 2 )  ·  ( x + 3 )  / ( x + 1 ) ( x + 4 ) =
= 1 / ( x - 2)( x + 4 ) 
Jobisdone [24]3 years ago
3 0

Answer:

1 / (x + 3) (x - 2)

Step-by-step explanation:

This is the correct answer i just took the test!

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3 years ago
Paul has $78 in the bank and saves $30 each week. What is the initial value? Be sure to use negative signs if needed.
marin [14]

Answer:

The initial value is $78

Step-by-step explanation:

Given

Base\ Amount = \$78

Additional = \$30 (weekly)

Required

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The initial value is the amount he has in its bank account before making his weekly savings.

From the question, we have that his initial balance is $78.

Hence, the initial value is $78

However, his weekly balance can be expressed as:

Balance = Base\ Amount + Additional * number\ of weeks

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2 years ago
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3 years ago
Person A can make a cupcake in 5 minutes, Person B can make a cupcake in 9 minutes. In total they made 168 cupcakes. How many cu
Stolb23 [73]

Answer:

Person A made 108 cupcakes and person B made 60 cupcakes.

Step-by-step explanation:

Person A makes 1 cupcake in 5 minutes.

Say in x minutes A makes : \frac{x}{5} cupcakes

Person B makes 1 cupcake in 9 minutes.

Say in x minutes B makes : \frac{x}{9} cupcakes

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