Find the sum and simplify

Mathematics

1 answer:

statuscvo [17]3 years ago

6 0

Answer:

[ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]

option c). is correct.

Step-by-step explanation:

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

= > [ ( x + 1 ) ( x - 3 ) + ( x - 1 ) ( x + 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]

= > [ ( x^2 - 3 x + x - 3 + x^2 + 2 x - x - 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]

= > [ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]

Hence we get required answer!

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7.63. Kim was elected class president. She received 3 votes for every 2 that Amy got. No one else ran. However, if 8 of the peop

STatiana [176]

Answer:

The number of people who voted is 30 people.

Step-by-step explanation:

Given:

Kim was elected class president. She received 3 votes for every 2 that Amy got.

No one else ran.

However, if 8 of the people who voted for Kim had voted for Amy instead, Kim would have received only 1 vote for every 2 that Amy would have gotten

Find:

the number of people voted

Step 1 of 1

The ratio of Kim's votes to Amy's votes is 3:2, so Kim received 3x votes and Amy received 2x votes for some value of x. If 8 of the people had voted for Amy instead of Kim, then Kim would have 3x-8 votes and Amy would have 2x+8 votes. If this had happened, then Amy would have twice as many votes as Kim, so 2x+8=2(3 x-8).

Expanding the right-hand side gives 2x+8=6x-16.

Subtracting $2 x$ from both sides and adding 16 to both sides gives 24=4x, so x=6.

Since 3x+2x=5x people voted, the number of voters is $5 \cdot 6=30$ .