3 years ago

If x≠4 and x≠-4, the fraction x^2-8x+16/x^2-16 can be simplified to what?

Mathematics

1 answer:

Harman [31]3 years ago

3 0

Answer:

Simplified Expression: x(17x - 8) / (x + 4)(x - 4)

Roots: x = 0 and x = 8/17

Excluded Values: x = -4, x = 4

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Katherine has 32 pop songs in 72 rock songs on her MP3 player that she will be organizing into paulista. Que want to por an eria

LUCKY_DIMON [66]

Answer: The greatest number of playlist Katherine can make =8

Each of playlist will have 4 pop songs and 9 rock songs.

Step-by-step explanation:

Given: The number of pop songs Katherine has= 32

The number of rock songs Katherine has= 72

If she want to make playlist such that in each playlist there is equal number of pop and rock songs, we need to find the GCF(greatest common factor) of 32 and 72.

We know that $32=2\times2\times2\times2\times2\\72=2\times2\times2\times3\times3$

We can see the GCF(32,72)= $2\times2\times2=8$

Hence, the greatest number of playlist Katherine can make =8

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the number of rock songs= $\frac{72}{8}=9$

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