The function is:
f ( x ) = 2 / ( x² + 3 x - 10 )
x² + 3 x - 10 = x² + 5 x - 2 x - 10 = x ( x + 5 ) - 2 ( x + 5 ) =
= ( x + 5 ) ( x - 2 )
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Answer:
The vertical asymptotes are: x = - 5 and x = 2.

3 0

3 years ago

Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (neg

Eva8 [605]

Given:

The given expression is:

$(-4x+9)^2$

According to Kylie,

$(-4x+9)^2=(-4x)^2+(9)^2$

$(-4x+9)^2=16x^2+81$

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

$(-4x+9)^2$

According to the perfect square trinomial $(a+b)^2=a^2+2ab+b^2$ .

$(-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2$

$(-4x+9)^2=16x^2-72x+81$

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

4 0

3 years ago

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